Quantum Gravity via Supersymmetry and Holography

Elvang, Henriette; Horowitz, Gary T.

doi:10.1017/cbo9781139583961.017

Cited by 7 publications

(10 citation statements)

References 228 publications

(269 reference statements)

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“…By flipping the logic, another important question is: can we get deeper insights about the quantization of Hořava gravity from some well-known systems of QFTs through this correspondence? The answer seems very positive [278,279], but systematic investigations along this direction are still absent.…”

Section: Discussionmentioning

confidence: 99%

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Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

185

194

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Hořava gravity at a Lifshitz point is a theory intended to quantize gravity by using techniques of traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been plaguing quantization of general relativity since the middle of 1970's, Hořava chose to break the Lorentz invariance by a Lifshitz-type of anisotropic scaling between space and time at the ultrahigh energy, while recovering (approximately) the invariance at low energies. With the stringent observational constraints and self-consistency, it turns out that this is not an easy task, and various modifications have been proposed, since the first incarnation of the theory in 2009. In this review, we shall provide a progress report on the recent developments of Hořava gravity. In particular, we first present four most-studied versions of Hořava gravity, by focusing first on their self-consistency and then their consistency with experiments, including the solar system tests and cosmological observations. Then, we provide a general review on the recent developments of the theory in three different but also related areas: (i) universal horizons, black holes and their thermodynamics; (ii) non-relativistic gauge/gravity duality; and (iii) quantization of the theory. The studies in these areas can be generalized to other gravitational theories with broken Lorentz invariance. CONTENTS

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Section: Discussionmentioning

confidence: 99%

“…Finally, we would like to note that one may flip the logics around and study QG by using the gauge/gravity duality from well-known QFTs [278,279].…”

Section: Non-relativistic Gauge/gravity Dualitymentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

185

194

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“…Conversely, the region where we do understand the field theory gives us information about the gravitational theory in a very unfamiliar regime. Use of the holographic correspondence in this direction is also very interesting, and has led to important insights into quantum gravity (e.g., [40]- [48]), but lies outside the scope of this review.…”

Section: Geometrizing a Generic Field Theorymentioning

confidence: 99%

QCD, with strings attached

Güijosa

2016

Int. J. Mod. Phys. E

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In the nearly twenty years that have elapsed since its discovery, the gauge-gravity correspondence has become established as an efficient tool to explore the physics of a large class of strongly-coupled field theories. A brief overview is given here of its formulation and a few of its applications, emphasizing attempts to emulate aspects of the strong-coupling regime of quantum chromodynamics (QCD). To the extent possible, the presentation is self-contained, and in particular, it does not presuppose knowledge of string theory.

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“…In recent years asymptotically AdS spacetimes have gained attention, in part because of the AdS/CFT correspondence, which has been useful to relate seemingly disconnected areas of physics. For instance, the quark-gluon plasma, some problems in condensed matter and turbulence have been addressed using the tools developed in the gravitational context [23,24]. One may consider possible extensions of our work to the case of asymptotically AdS spacetimes.…”

mentioning

confidence: 99%

“…We can define it by n K / √ n · n := R a e aK where R a is the spacetime unit normal to the boundary 24 , that can either be n a for the unit normal to the spacelike surfaces or r a for the unit normal to the timeline boundary, we have introduced a normalization factor 1 n·n to allow freedom in rescaling n K , so we can use any multiple of n K and the results will remain 24 Note that we have extended the usual definition of n K = n a e aK for the Cauchy surfaces in the first order formalism to n k / √ n · n := R a e aK that allows, in principle, n K to be rescaled, and now is extended also to include the timelike boundary.…”

mentioning

confidence: 99%

Energy in first order2+1gravity

Corichi

Rubalcava-Garcia

2015

Phys. Rev. D

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We consider Λ=0 three dimensional gravity with asymptotically flat boundary conditions. This system was studied by Ashtekar and Varadarajan within the second order formalism -with metric variables-who showed that the Regge-Teitelboim formalism yields a consistent Hamiltonian description where, surprisingly, the energy is bounded from below and from above. The energy of the spacetime is, however, determined up to an arbitrary constant. The natural choice was to fix that freedom such that Minkowski spacetime has zero energy. More recently, Marolf and Patiño started from the Einstein-Hilbert action supplemented with the Gibbons-Hawking term and showed that, in the 2+1 decomposition of the theory, the energy is shifted from the Ashtekar-Varadarajan analysis in such a way that Minkowski spacetime possesses a negative energy. In this contribution we consider the first order formalism, where the fundamental variables are a so(2, 1) connection w a I J and a triad e I a . We consider two actions. A natural extension to 3 dimensions of the consistent action in 4D Palatini gravity is shown to be finite and differentiable. For this action, the 2+1 decomposition (that we perform using two methods) yields a Hamiltonian boundary term that corresponds to energy. It assigns zero energy to Minkowski spacetime. We then put forward a totally gauge invariant action, and show that it is also well defined and differentiable. Interestingly, it turns out to be related, on shell, to the 3D Palatini action by an additive constant in such a way that its associated energy is given by the Marolf-Patiño expression. Thus, we conclude that, from the perspective of the first order formalism, Minkowski spacetime can consistently have either, zero, or a negative energy equal to −1/4G, depending on the choice of consistent action employed as starting point.

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Quantum Gravity via Supersymmetry and Holography

Cited by 7 publications

References 228 publications

Hořava gravity at a Lifshitz point: A progress report

Hořava gravity at a Lifshitz point: A progress report

QCD, with strings attached

Energy in first order2+1gravity

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