Flat space (higher spin) gravity with chemical potentials

Grumiller, Daniel; Riegler, Max; Rosseel, Jan

doi:10.1007/jhep01(2015)152

Cited by 42 publications

(68 citation statements)

References 107 publications

(179 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The BMS 3 boundary conditions have been discussed at length in the literature, (see for instance [41,43,58,86,87]). Asymptotically Minkowski metrics in three dimensions can be written as…”

Section: C)mentioning

confidence: 99%

Geometric actions and flat space holography

Merbis

Riegler²

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

In this paper we perform the Hamiltonian reduction of the action for three-dimensional Einstein gravity with vanishing cosmological constant using the Chern-Simons formulation and Bondi-van der Burg-Metzner-Sachs (BMS) boundary conditions. An equivalent formulation of the boundary action is the geometric action on BMS 3 coadjoint orbits, where the orbit representative is identified as the bulk holonomy. We use this reduced action to compute one-loop contributions to the torus partition function of all BMS 3 descendants of Minkowski spacetime and cosmological solutions in flat space. We then consider Wilson lines in the ISO(2, 1) Chern-Simons theory with endpoints on the boundary, whose reduction to the boundary theory gives a bilocal operator. We use the expectation values and two-point correlation functions of these bilocal operators to compute quantum contributions to the entanglement entropy of a single interval for BMS 3 invariant field theories and BMS 3 blocks, respectively. While semi-classically the BMS 3 boundary theory has central charges c 1 = 0 and c 2 = 3/G N , we find that quantum corrections in flat space do not renormalize G N , but rather lead to a non-zero c 1 .

show abstract

“…The BMS 3 boundary conditions have been discussed at length in the literature, (see for instance [41,43,58,86,87]). Asymptotically Minkowski metrics in three dimensions can be written as…”

Section: C)mentioning

confidence: 99%

Geometric actions and flat space holography

Merbis

Riegler²

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…There exists a general procedure for obtaining nonrelativistic algebras from a contraction of relativistic ones, which is loosely referred to as Inönü-Wigner contraction (see for example [28] for a review). In fact, this procedure does not exclusively yield nonrelativistic algebras, and has also been applied to studying the flat space limit of AdS holography [47][48][49]. The procedure is as follows.…”

Section: Contracted Algebramentioning

confidence: 99%

Zooming in on AdS3/CFT2 near a BPS bound

Hartong

Lei

Obers³

et al. 2018

J. High Energ. Phys.

View full text Add to dashboard Cite

Any (d + 1)-dimensional CFT with a U (1) flavor symmetry, a BPS bound and an exactly marginal coupling admits a decoupling limit in which one zooms in on the spectrum close to the bound. This limit is an Inönü-Wigner contraction of so(2, d + 1) ⊕ u(1) that leads to a relativistic algebra with a scaling generator but no conformal generators. In 2D CFTs, Lorentz boosts are abelian and by adding a second u(1) we find a contraction of two copies of sl(2, R) ⊕ u(1) to two copies of P c 2 , the 2-dimensional centrally extended Poincaré algebra. We show that the bulk is described by a novel non-Lorentzian geometry that we refer to as pseudo-Newton-Cartan geometry. Both the Chern-Simons action on sl(2, R) ⊕ u(1) and the entire phase space of asymptotically AdS 3 spacetimes are well-behaved in the corresponding limit if we fix the radial component for the u(1) connection. With this choice, the resulting Newton-Cartan foliation structure is now associated not with time, but with the emerging holographic direction. Since the leaves of this foliation do not mix, the emergence of the holographic direction is much simpler than in AdS 3 holography. Furthermore, we show that the asymptotic symmetry algebra of the limit theory consists of a left-and a right-moving warped Virasoro algebra.

show abstract

“…Moreover, the asymptotic symmetry of the theory realizes two copies of the W n algebra [26,37,38], which led to conjecture the duality between threedimensional HS theories and a W n minimal model CFT in a large-N limit [39,40]. Remarkably, the no-go results can even be avoided in locally flat three-dimensional spacetimes and the main aforementioned results can be generalized to the case of vanishing cosmological constant [41][42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Generalized Chern–Simons higher-spin gravity theories in three dimensions

et al. 2018

View full text Add to dashboard Cite

The coupling of spin-3 gauge fields to three-dimensional Maxwell and AdS-Lorentz gravity theories is presented. After showing how the usual spin-3 extensions of the AdS and the Poincaré algebras in three dimensions can be obtained as expansions of sl (3, R) algebra, the procedure is generalized so as to define new higher-spin symmetries. Remarkably, the spin-3 extension of the Maxwell symmetry allows one to introduce a novel gravity model coupled to higherspin topological matter with vanishing cosmological constant, which in turn corresponds to a flat limit of the AdS-Lorentz case. We extend our results to define two different families of higher-spin extensions of three-dimensional Einstein

show abstract

Flat space (higher spin) gravity with chemical potentials

Cited by 42 publications

References 107 publications

Geometric actions and flat space holography

Geometric actions and flat space holography

Zooming in on AdS3/CFT2 near a BPS bound

Generalized Chern–Simons higher-spin gravity theories in three dimensions

Contact Info

Product

Resources

About