scholarly journals Three-dimensional (higher-spin) gravities with extended Schrödinger and l-conformal Galilean symmetries

2019 ◽  
Vol 2019 (7) ◽  
Author(s):  
Dmitry Chernyavsky ◽  
Dmitri Sorokin
Keyword(s):  
Three Dimensional ◽  
Higher Spin

scholarly journals Three-dimensional conformal geometry and prepotentials for four-dimensional fermionic higher-spin fields

2018 ◽  
Vol 2018 (11) ◽  
Author(s):  
Marc Henneaux ◽  
Victor Lekeu ◽  
Amaury Leonard ◽  
Javier Matulich ◽  
Stefan Prohazka
Keyword(s):  
Conformal Geometry ◽  
Three Dimensional ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

scholarly journals Constraints for three-dimensional higher-spin interactions and conformal correlators

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
Stefan Fredenhagen ◽  
Olaf Krüger ◽  
Karapet Mkrtchyan
Keyword(s):  
Three Dimensional ◽  
Spin Interactions ◽  
Higher Spin

scholarly journals Hypersymmetry bounds and three-dimensional higher-spin black holes

2015 ◽  
Vol 2015 (8) ◽  
Author(s):  
Marc Henneaux ◽  
Alfredo Pérez ◽  
David Tempo ◽  
Ricardo Troncoso
Keyword(s):  
Black Holes ◽  
Three Dimensional ◽  
Higher Spin

scholarly journals Gravitational dual of averaged free CFT’s over the Narain lattice

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Alfredo Pérez ◽  
Ricardo Troncoso
Keyword(s):  
Partition Function ◽  
Boundary Conditions ◽  
Three Dimensional ◽  
Simons Theory ◽  
Energy Tensor ◽  
The Family ◽  
Stress Energy ◽  
Higher Spin ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract It has been recently argued that the averaging of free CFT’s over the Narain lattice can be holographically described through a Chern-Simons theory for U (1)D×U (1)D with a precise prescription to sum over three-dimensional handlebodies. We show that a gravitational dual of these averaged CFT’s would be provided by Einstein gravity on AdS3 with U (1)D−1× U (1)D−1 gauge fields, endowed with a precise set of boundary conditions closely related to the “soft hairy” ones. Gravitational excitations then go along diagonal SL (2, ℝ) generators, so that the asymptotic symmetries are spanned by U (1)D× U (1)D currents. The stress-energy tensor can then be geometrically seen as composite of these currents through a twisted Sugawara construction. Our boundary conditions are such that for the reduced phase space, there is a one-to-one map between the configurations in the gravitational and the purely abelian theories. The partition function in the bulk could then also be performed either from a non-abelian Chern-Simons theory for two copies of SL (2, ℝ) × U (1)D−1 generators, or formally through a path integral along the family of allowed configurations for the metric. The new boundary conditions naturally accommodate BTZ black holes, and the microscopic number of states then appears to be manifestly positive and suitably accounted for from the partition function in the bulk. The inclusion of higher spin currents through an extended twisted Sugawara construction in the context of higher spin gravity is also briefly addressed.

scholarly journals Bootstrapping conformal four-point correlators with slightly broken higher spin symmetry and 3D bosonization

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Zhijin Li
Keyword(s):  
Higher Spin Symmetry ◽  
Three Dimensional ◽  
Spin Symmetry ◽  
Complete Classification ◽  
Point Function ◽  
Opposite Parity ◽  
Hooft Coupling ◽  
Higher Spin ◽  
Single Trace ◽  
Chern Simons

Abstract Three-dimensional conformal field theories (CFTs) with slightly broken higher spin symmetry provide an interesting laboratory to study general properties of CFTs and their roles in the AdS/CFT correspondence. In this work we compute the planar four-point functions at arbitrary ’t Hooft coupling λ in the CFTs with slightly broken higher spin symmetry. We use a bootstrap approach based on the approximate higher spin Ward identity. We show that the bootstrap equation is separated into two parts with opposite parity charges, and it leads to a recursion relation for the λ expansions of the correlation functions. The λ expansions terminate at order λ2 and the solutions are exact in λ. Our work generalizes the approach proposed by Maldacena and Zhiboedov to four-point correlators, and it amounts to an on-shell study for the 3D Chern-Simons vector models and their holographic duals in AdS4. Besides, we show that the same results can also be obtained rather simply from bosonization duality of 3D Chern-Simons vector models. The odd term at order O(λ) in the spinning four-point function relates to the free boson correlator through a Legendre transformation. This provides new evidence on the 3D bosonization duality at the spinning four-point function level. We expect this work can be generalized to a complete classification of general four-point functions of single trace currents.

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