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We analyze the residual gauge freedom in gravity, in four dimensions, in the light-cone gauge, in a formulation where unphysical fields are integrated out. By checking the invariance of the light-cone Hamiltonian, we obtain a set of…

High Energy Physics - Theory · Physics 2021-11-24 Sudarshan Ananth , Lars Brink , Sucheta Majumdar

We establish half-space type results for a class of height-dependent weighted minimal surfaces in $\mathbb{R}^3$, namely critical points of a weighted area functional whose weight depends on the height. When the weight has at most quadratic…

Differential Geometry · Mathematics 2026-01-30 A. L. Martínez-Triviño , J. P. dos Santos , G. Tinaglia

A new method is introduced to study three-body clusters. Triangular configurations with ${\cal D}_{3h}$ point-group symmetry are analyzed. The spectrum, transition form factors and $B(E\lambda)$ values of $^{12}$C are investigated. It is…

Nuclear Theory · Physics 2009-11-07 R. Bijker , F. Iachello

We classify the Lagrangians and anomalies of an extended BMS field theory using BRST methods. To do so, we establish an intrinsic gauge-fixing procedure for the geometric data, which allows us to derive the extended BMS symmetries and the…

High Energy Physics - Theory · Physics 2025-04-15 Laurent Baulieu , Luca Ciambelli , Tom Wetzstein

By using the approach introduced in arXiv:2107.09677 we construct non-BPS solutions of 6D $(1,0)$ supergravity coupled to two tensor multiplets as a perturbation of AdS$_3\times S^3$. These solutions are both regular and asymptotically…

High Energy Physics - Theory · Physics 2022-03-15 Bogdan Ganchev , Stefano Giusto , Anthony Houppe , Rodolfo Russo

We include a new 7-form ansatz in 11-dimensional supergravity over AdS_4 x S^7/Z_k when the internal space is considered as a U(1) bundle on CP^3. After a general analysis of the ansatz, we take a special form of it and obtain a scalar…

High Energy Physics - Theory · Physics 2018-08-02 M. Naghdi

I propose that the proper framework for gravitational scattering theory is the rep- resentation theory of the super-BMS algebra of Awada, Gibbons and Shaw[1], and its generalizations. Certain representation spaces of these algebras…

High Energy Physics - Theory · Physics 2014-03-17 T. Banks

We chart the breakdown of semiclassical gravity by analyzing the Virasoro conformal blocks to high numerical precision, focusing on the heavy-light limit corresponding to a light probe propagating in a BTZ black hole background. In the…

High Energy Physics - Theory · Physics 2017-10-25 Hongbin Chen , Charles Hussong , Jared Kaplan , Daliang Li

We develop a flat-space holographic dictionary for a free massive spinor field in four-dimensional Minkowski spacetime, using the hyperbolic (Milne) slicing into $\mathbb H^3$ (Euclidean $\mathrm{AdS}_3$). Decomposing bulk fields into…

High Energy Physics - Theory · Physics 2026-03-10 Dmitry S. Ageev , Anna S. Bernakevich

We study the $S_3$-orbifold of a rank three Heisenberg vertex algebras in terms of generators and relations. By using invariant theory we prove that the orbifold algebra has a minimal strongly generating set of vectors whose conformal…

Quantum Algebra · Mathematics 2019-03-27 Antun Milas , Michael Penn , Hanbo Shao

The symplectic blob algebra is a physically motivated quotient of the Hecke algebra $H(\tilde{C}_n)$ with a diagram calculus. We find the blocks for the symplectic blob algebra for all specialisations of its parameters over the complex…

Representation Theory · Mathematics 2024-07-11 Oliver H. King , Paul P. Martin , Alison E. Parker

Flat-space limit is well-defined for asymptotically AdS spacetimes written in coordinates called the BMS gauge. For the three-dimensional Einstein gravity with a negative cosmological constant, we calculate the quasi-local energy momentum…

High Energy Physics - Theory · Physics 2014-03-06 Reza Fareghbal , Ali Naseh

Motivated by the question of bulk localization in holography, we study the problem of constructing multi-centered solutions in higher spin gravity which describe point particles in the interior of AdS$_3$. In the Chern-Simons formulation…

High Energy Physics - Theory · Physics 2018-12-05 Ondrej Hulik , Joris Raeymaekers , Orestis Vasilakis

We analyze possible local extensions of the Poincar\'e symmetry in light-cone gravity in four dimensions. We use a formalism where we represent the algebra on the two physical degrees of freedom, one with helicity $2$ and the other with…

High Energy Physics - Theory · Physics 2021-07-21 Sudarshan Ananth , Lars Brink , Sucheta Majumdar

We revisit the factorisation of supersymmetric partition functions of 3d $\mathcal{N}=4$ gauge theories. The building blocks are hemisphere partition functions of a class of UV $\mathcal{N}=(2,2)$ boundary conditions that mimic the presence…

High Energy Physics - Theory · Physics 2021-05-12 Mathew Bullimore , Samuel Crew , Daniel Zhang

We show that the non-linear BMS$_5$ symmetry algebra of asymptotically flat Einstein gravity in five dimensions, as well as the super-BMS$_4$ superalgebra of asymptotically flat supergravity, can be redefined so as to take a direct sum…

High Energy Physics - Theory · Physics 2023-09-15 Oscar Fuentealba , Marc Henneaux

We consider the maximal $\cal{N}-$extended supergravity theory in 3 dimensions with fermionic generators transforming under real but non necessarily irreducible representations of the internal algebra. We obtain the symmetry algebra at null…

High Energy Physics - Theory · Physics 2019-02-20 Nabamita Banerjee , Arindam Bhattacharjee , Ivano Lodato , Turmoli Neogi

With a 4-form ansatz of 11-dimensional supergravity over non-dynamical AdS$_4 \times S^7/Z_k$ background, with the internal space as a $S^1$ Hopf fibration on CP$^3$, we get a consistent truncation. The (pseudo)scalars, in the resulting…

High Energy Physics - Theory · Physics 2024-03-18 M. Naghdi

We study irreducible representations of two classes of conformal Galilei algebras in 1-spatial dimension. We construct a functor which transforms simple modules with nonzero central charge over the Heisenberg subalgebra into simple modules…

Representation Theory · Mathematics 2017-05-10 Rencai Lu , Volodymyr Mazorchuk , Kaiming Zhao

The bulk reconstructions in AdS/CFT and its cousins are essential to understand the holographic nature of quantum gravity. In this work, we try to study the bulk reconstruction in the AdS$_3$/WCFT$_2$ correspondence. After deriving the…

High Energy Physics - Theory · Physics 2019-10-30 Yu-han Lin , Bin Chen