Figure 1 - uploaded by Supriya Kar
Content may be subject to copyright.
An effective D 4-brane, at large r, corresponds to an asymptotic AdS. A global mode b is identified with an AdS radius of curvature. Within the horizon, the time-like coordinate becomes space-like and vice-versa. In the near horizon geometry, an effective anti D 4-brane may be obtained from an effective D 4-brane with r → −r.
Source publication
The U(1) gauge dynamics on a D
4-brane is revisited, with a two form, to construct an effective curvature theory in a second order formalism. We exploit the local degrees in a two form, and modify its dynamics in a gauge invariant way, to incorporate a non-perturbative metric fluctuation in an effective D
4-brane. Interestingly, the near horizon D...
Citations
... Along the line, higher dimensional theories underlying the Riemann curvature tensor have been explored in the past [9][10][11]. In this paper, we attempt to address an apparently unresolved problem in GR but with a higher dimensional gauge theoretic framework [12][13][14]. Research ensures that an order two anti-symmetric B μν field underlying a U(1) gauge symmetry in (4 + 1) may serve as an insightful tool to find the required T μν . Interestingly a geometric torsion (GT) theory is known to ensure an open geometry which is unlike the closed geometries in GR. ...
... It is believed to ensure a UV finite quantum correction to GR. It was shown that a torsion connection modifies a covariant derivative ∇ μ → D μ in a U (1) gauge theory [12,19]. The non-Riemann curvature tensors were derived in the modified theory which has been checked to ensure the space-time beyond GR. ...
... The broken U(1) gauge symmetry may be restored [12] with a symmetric matrix f μν = ±l 2 (H μαβ H αβ ν ). It shows that a non-linear GT and a linear gauge theoretic torsion together ensure the matrix fluctuations and they have been argued to source an emergent quantum gravity potential V q in ref. [15]. ...
We show that the extremal Reissner-Nordström type multi-black holes in an emergent scenario are exact in General Relativity. It is shown that an axion in the bulk together with a geometric torsion ensures the required energy momentum to source the (3 + 1) geometry in the Einstein tensor. Analysis reveals a significant role of dark energy in curved space-time.
... BF term is believed to describe new classical and quantum insights in GR. 12,13 In particular, the BF term was derived from a five-dimensional bulk gauge theory by two of the authors 14 in a GT formalism. 15 Generically, the local degrees of a massless two-form gauge theory are equal to the local degrees of the metric field in a lower dimension in the presence of a scalar field dynamics. The equivalence between the local degrees of a gauge theory and gravity theory has led to propose a new bulk gauge theory and boundary gravity correspondence. ...
... Nonetheless, the dipole is shown to be sourced by a conserved charge in a bulk geometric torsion (GT) theory on R 1,1 ⊗ S 3 . Formally, GT in Ref. 15 ...
... The modification to Einstein gravity was constructed by one of the authors in a collaboration. 15 It was shown that the torsion connection consistently modifies the covariant derivative ∇ μ in Einstein gravity to D μ which satisfies D μ g νλ = 0. ...
Killing symmetries are revisited in [Formula: see text] bulk geometric torsion (GT) perturbation theory to investigate the perihelion precession. Computation reveals a nonperturbative (NP) modification to the precession known in General Relativity (GR). Remarkably the analysis reassures our proposed holographic correspondence between a perturbative GT in bulk and a boundary GR coupled to [Formula: see text]. In fact, the topological correction is sourced by a non-Newtonian potential in GR and we identify it with an “electro-gravito” (EG) dipole. Interestingly, the dipole correction is shown to possess its origin in a [Formula: see text]-form underlying a propagating GT and leads to a NP gravity in [Formula: see text].
... In fact, the idea is well taken with a geometric torsion (GT) theory in d = 5 bulk in the recent past. 9 Interestingly, the bulk GT was shown to generate a boundary GR. 10 In this paper, we briefly revisit and exploit a bulk GT for its possible quanta. We show that a bulk GT may govern a graviton in a boundary NP gravity. ...
... Along the line of thought, a GT curvature K μνλ ρ has been worked out underlying a 2-form dynamics in the recent past by one of the author in a collaboration. 9 In particular, a dynamical 2-form B μν (x, t) leading to a field strength H μνλ = 3∇ [ μ B νλ] in an U (1) gauge theory has been treated as a torsion connection to construct a modified covariant derivative D μ . Generically a modification to GR, leading to a GT H μνλ = 3D [ μ B νλ] , has been proposed in a higher dimension d ≥ 5 for a NP D μ . ...
... The commutators in Eq. (15) under ∇ μ → D μ has been shown to incorporate new curvatures. 9 They are worked out in presence of a coupling, i.e. for H 3 → H 3 , to yield ...
A geometric torsion (GT) underlying a [Formula: see text]-form in a [Formula: see text]-dimensional [Formula: see text] gauge theory is revisited with a renewed perspective for a nonperturbation (NP) gravity in [Formula: see text]. In this context, we provide evidences to a holographic correspondence between a bulk GT and a boundary NP gravity. Interestingly the Killing symmetries in General Relativity (GR) are shown to provide a subtle clue to the quantum gravity. The NP gravity is shown to incorporate a [Formula: see text] coupling, sourced by a non-Newtonian potential, to an exact geometry in GR. Remarkably the NP correction is identified as a mass dipole and is shown to be sourced by a propagating GT. A detailed analysis is performed in a bulk GT to show a modification to the precession of perihelion in a boundary NP gravity. The perspective of an electromagnetic (EM) wave in the bulk is investigated to reveal a spin [Formula: see text] (mass-less) quantum sourced by an apparent 2-form. A Goldstone scalar is absorbed by the apparent 2-form to describe a massive [Formula: see text]-form in the coulomb gauge. Alternately a Goldstone scalar together with a local degree of GT and 2-form is argued to govern a composite (mass-less) spin [Formula: see text] particle in Lorentz gauge. Both the scenarios, further ensure a graviton in a boundary NP gravity. A qualitative analysis reveals a (noninteracting) graviton underlying a plausible gravitational wave/particle duality in NP gravity.
... In the recent past author(s) in collaborations, have addressed the NS form gauge dynamics in an emergent scenario on a fat 4-brane [14][15][16][17][18][19] and subsequently underlying a CFT 6 on a fat 5-brane [20]. In fact, a fat (p+1)-brane is governed by a NS form dynamics in an emergent perturbation theory in first order. ...
... For simplicity p=2 has been explored in the recent past [14][15][16][17][18][19][20] to explain diverse phenomena underlying a semi-classical emergent theory of metric in a NP-formulation of quantum gravity on a gravitational pair. ...
... In the context the absorption of KR quanta leading to an emergent stringy pair has been realized geometrically, when mnl H is exploited as a torsion connection [14,15]. A torsion modifies the covariant derivative operator m on a D 4 -brane to m on an emergent fat 4-brane. ...
We revisit a non-perturbative formulation of quantum gravity in 1.5 order underlying an emergent gravitational pair of $(4\bar{4})$ -brane with a renewed interest. In particular, the formulation is governed by a geometric torsion ${{ \mathcal H }}_{3}$ in second order with an on-shell Neveu–Schwarz form in first order. Interestingly the gravitational pair is sourced by a Kalb–Ramond two form CFT on a D5-brane in d = 10 type IIB superstring theory. We show that a generic form theory containing a CFT sector in d = 6 bulk may be described by a boundary AdS5 with a quintessence Q. Analysis reveals that the bulk/boundary duality in emergent gravity can be a potential tool to explore the quintessential cosmology.
... Interestingly, the theoretical requirement has been attempted with a dynamical geometric torsion H 3 to second order while keeping the Neveu-Schwarz (NS) form on-shell at an emergent first order [7][8][9]. The non-perturbative formulation in a gauge choice has led to an emergent metric which turns out to be dynamical. ...
... A torsion is shown to modify the covariant derivative and hence the effective curvatures in a superstring theory [24,25]. In the recent past a constant NS field on a D 4 -brane has been exploited for its gauge dynamics in an emergent theory [7][8][9]. In particular, the Kalb-Ramond (KR) field dynamics are used to define a modified derivative D μ uniquely. ...
... The KR field dynamics H 3 is absorbed, as a torsion connection, and modifies ∇ μ → D μ . The modified derivative leads to an emergent description where the NS field becomes dynamical [7]. It defines a geometric torsion: ...
We show that the massless form fields in |$(4+1)$|-dimensional non-perturbation theory of emergent gravity become massive in a perturbative phase without the Higgs mechanism. In particular, an axionic scalar sourced by a non-perturbative dynamical correction is absorbed by the form fields to describe a massive Neveu–Schwarz (NS) field theory on an emergent gravitational |$(3{\bar 3})$|-brane pair. Arguably the novel idea of the Higgs mechanism is naturally invoked in an emergent gravity underlying a |${\rm CFT}_6$|. Analysis reveals “gravito-weak” and “electro-weak” phases respectively on a vacuum pair in |$(4+1)$| and |$(3+1)$| dimensions. It is argued that the massive NS field quanta may govern an emergent graviton on a gravitational |$3$|-brane.
... The modern era of brane cosmology began in the context of large extra dimensions, made possible by the hypothesis that the standard model of particle physics is localized on a D-brane. Different types of D-branes and their cosmological and astrophysical implications have been proposed in different context in recent past (Bachas and Petropoulos 2001;Majumdar and Davis 2002;Singh et al. 2013aSingh et al. , 2013b. Braneworld models of the universe have been the focus of attention in the current decade for the search of many outstanding problems in Cosmology. ...
Here we formulate scenario of emergent universe from particle creation
mechanism in spatially flat braneworld models. We consider an isotropic and
homogeneous universe in Braneworld cosmology and universe is considered as a
non-equilibrium thermodynamical system with dissipation due to particle
creation mechanism. Assuming the particle creation rate as a function of the
Hubble parameter , we formulate emergent scenario in RS2 and DGP models of
Braneworld.
... In the context, the external geometries on a D-brane sourced by a zero mode of a two form may be exploited further to address some of the non-external quantum black holes underlying generalized non-perturbation formalism. In fact, the stringy deformations leading to geometric causal patches have been described on a non BPS D-brane [28][29][30][31][32] underlying a non-linear U (1) gauge theory. The emergent quantum vacua on a brane undergo a tunneling phenomenon and lead to some of the plausible classical vacua established in Einstein gravity. ...
... In the article, we address a non-perturbation theory of quantum gravity sourced by a two form flux in a nonlinear U (1) gauge theory on a D 4 -brane. In fact, a two form has been argued to generate a nonperturbative space-time curvature on a vacuum created pair of ( ) DD 3 -brane at a Big Bang singularity [30,31]. The branes in a pair moved in opposite directions to each other. ...
... It further re-assures the need for a second order formalism underlying a dynamical geometric torsion in a space-time curvature theory. The metric fluctuation [30] in the perturbation gauge theory may a priori be expressed as: ...
We revisit a five dimensional Kaluza-Klein gravity, in presence of a cosmological constant, with a renewed interest in a type IIA string theory. An irreducible space-time curvature scalar K, leading to a non-perturbation theory of emergent quantum gravity, is addressed on a D4-brane underlying a two form gauge theory. An appropriate ansatz for a two form in the non-linear U (1) gauge theory is explored to obtain a nontrivial geometric torsion in a second order formalism. The quantum geometries, underlying torsion, in a low energy limit is shown to describe an AdS5 -brane black hole in Einstein vacuum. In the limit, we analyze the non-perturbation curvature K on S1 and argue for a plausible strong-weak coupling duality between a five dimensional non-perturbation curvature theory and the 4D perturbation non-linear gauge theory.
... However the non-linear gauge dynamics on a D 4 -brane may seen to be described by the non-zero modes of a two form. They lead to a generalized curvature formulated on an effective D 4 -brane in a second order formalism [32][33][34][35][36]. ...
... In the recent past, the emergent geometries have been argued to describe a large density of tunneling vacua including de Sitter and anti de Sitter black holes [32]. The large density of emergent vacua may be viewed via gauge transformations of two form. ...
... The local degrees in two form have been exploited to construct a space-time curvature scalar K (5) in a second order formalism [32][33][34][35][36]. The generalized curvature is primarily sourced by a two form gauge theory on a D 4 -brane. ...
We revisit a non-perturbative space-time curvature theory, underlying a two
form U(1) gauge dynamics, on a D4-brane. In particular, two different gauge
choices for a two form are explored underlying the dynamics of a geometric
torsion in a second order formalism. We obtain two non-extremal quantum Kerr
geometries in five dimensions on a pair of $(D{\bar D})_4$-brane in a type IIA
superstring theory. The quantum vacua are described by a vanishing torsion in a
gauge choice, underlying a geometric realization, on a non-BPS brane. It is
argued that the quantum Kerr vacua undergo tunneling and lead to a five
dimensional Kerr black hole in Einstein vacuum. A low energy limit in the
quantum Kerr vacua further re-assures an emergent Kerr black hole.
We revisit an emergent gravity scenario in [Formula: see text][Formula: see text][Formula: see text] dimensions underlying a propagating geometric torsion [Formula: see text] with a renewed interest. We show that a pair-symmetric [Formula: see text]th-order curvature tensor is sourced by Neveu–Schwarz (NS) two-form in a [Formula: see text] gauge theoretic formulation. Interestingly, the new spacetime curvature governs a torsion-free geometry sourced by an NS form and shares the properties of the Riemann tensor. On the other hand, a completely anti-symmetric [Formula: see text]th-order tensor in the formulation is shown to incorporate a dynamical geometric torsion and is argued to be identified with a nonperturbative correction. The four-form turns out to be [Formula: see text] gauge invariant underlying an onshell NS form. We show that an emergent gravity theory may elegantly be described with an axionic scalar presumably signifying a quintessence coupling to the Riemann-type geometries. The curvatures are appropriately worked out to obtain a [Formula: see text] emergent form theory. Investigation reveals that a pair of [Formula: see text]-brane is created across an event horizon. We show that an emergent [Formula: see text] theory in a decoupling limit identifies with the bosonic sector of [Formula: see text], Supergravity in [Formula: see text].
We revisit a non-perturbative formulation leading to a vacuum-created gravitational pair of \((3\bar {3})\)-brane by a Poincare dual higher form U(1) gauge theory on a D4-brane. In particular, the analysis has revealed a dynamical geometric torsion \(\mathcal {H}_{3}\) for an onshell Neveu-Schwarz (NS) form on a fat 4-brane. We argue that a D-instanton can be a viable candidate to incorporate the quintessence correction hidden to an emergent (3 + 1)-dimensional brane universe. It is shown that a dynamical non-perturbative correction may be realized with an axionic scalar QFT on an emergent anti-3-brane within a gravitational pair. The theoretical tool provokes thought to believe for an extra instantaneous dimension transverse to our classical brane-universe in an emergent scenario. Interestingly a D-instanton correction, sourced by an axion on an anti-3-brane, may serve as a potential candidate to explain the accelerated rate of expansion of our 3-brane universe and may provide a clue to the origin of dark energy.
