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Related papers: Amplitudes in self-dual (higher-spin) theories

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We show that chiral higher-spin gravity with a vanishing cosmological constant admits a class of exact self-dual pp-wave solutions derived from harmonic scalar functions and two principal spinors. These solutions satisfy both the linear and…

High Energy Physics - Theory · Physics 2025-12-02 Tung Tran

We study conical defect geometries in the SL(N) Chern-Simons formulation of higher spin gauge theories in AdS_3. We argue that (for N\geq 4) there are special values of the deficit angle for which these geometries are actually smooth…

High Energy Physics - Theory · Physics 2015-06-03 Alejandra Castro , Rajesh Gopakumar , Michael Gutperle , Joris Raeymaekers

Higher-spin gravity in three dimensions is efficiently formulated as a Chern-Simons gauge-theory, typically with gauge algebra sl(N)+sl(N). The classical and quantum properties of the higher-spin theory depend crucially on the embedding…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , M. Gary , D. Grumiller , R. Rashkov , M. Riegler

We consider theories of three dimensional quantum gravity in Anti-de Sitter space which possess massless higher-spin gauge symmetry. The perturbative spectrum of the theory includes higher spin excitations which can be organized into vacuum…

High Energy Physics - Theory · Physics 2013-12-05 Alejandra Castro , Arnaud Lepage-Jutier , Alexander Maloney

It is shown that a 2D CFT consisting of a central charge $c$ Liouville theory, a chiral level one, rank $N$ Kac-Moody algebra and a weight $-3/2$ free fermion holographically generate 4D MHV tree-level scattering amplitudes. The correlators…

High Energy Physics - Theory · Physics 2024-03-29 Walker Melton , Atul Sharma , Andrew Strominger , Tianli Wang

Massless higher-spin fields show no preference for any value of the cosmological constant in $3d$. All matter-free higher-spin gravities in 3d are equivalent to Chern-Simons theories with an appropriate choice of gauge algebra. For various…

High Energy Physics - Theory · Physics 2024-09-20 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov

Maximally $\mathcal{N}$ extended $2+1$ dimensional flat Supergravity theories exist for a class of super-Poincar\'{e} algebras for arbitrary $\mathcal{N}$. They have rich asymptotic structures and contain all interesting topological…

High Energy Physics - Theory · Physics 2022-06-15 Nabamita Banerjee , Arindam Bhattacharjee , Surajit Biswas , Turmoli Neogi

It is shown that two$(1 + 1)$-dimensional (2D) free Abelian- and self-interacting non-Abelian gauge theories (without any interaction with matter fields) belong to a new class of topological field theories. These new theories capture…

High Energy Physics - Theory · Physics 2016-09-06 R. P. Malik

Scalar field theories in $\text{(A)dS}_{2}$ with integer scaling dimensions $\Delta = k+1$ are characterised by the existence of a pair of (anti-)holomorphic higher-spin currents. We explore the consequences of this to describe their…

High Energy Physics - Theory · Physics 2026-01-30 Calvin Y. -R. Chen , Lukas W. Lindwasser , Massimo Porrati

We review the general formalism of duality rotations for $\cal N$-extended (super)conformal gauge multiplets of arbitrary (super)spin in four dimensions, with ${\cal N} \geq 0$. Self-dual models for a vector field (${\cal N}=0$) and for…

High Energy Physics - Theory · Physics 2026-02-05 Sergei M. Kuzenko

Chiral Higher Spin Gravity is unique in being the smallest higher spin extension of gravity and in having a simple local action both in flat and (anti)-de Sitter spaces. It must be a closed subsector of any other higher spin theory in four…

High Energy Physics - Theory · Physics 2020-05-06 Evgeny Skvortsov , Tung Tran , Mirian Tsulaia

We use the formulation of conformal higher spin (CHS) theories in twistor space to study their tree-level scattering amplitudes, finding expressions for all three-point anti-MHV amplitudes and all MHV amplitudes involving positive helicity…

High Energy Physics - Theory · Physics 2017-04-26 Tim Adamo , Philipp Haehnel , Tristan McLoughlin

In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin $(s+\frac 12)$, where $s=2,3, \dots$. These supersymmetric higher spin gauge theories, known as longitudinal and transverse, are…

High Energy Physics - Theory · Physics 2018-04-23 Jessica Hutomo , Sergei M. Kuzenko

We address the issue of electromagnetic interaction for massive higher-spin fields in $3d$ Minkowski space. We show that consistent field equations can be obtained through the dimensional reduction of the higher-spin extension of self-dual…

High Energy Physics - Theory · Physics 2024-12-17 Alexey Sharapov , David Shcherbatov , Evgeny Skvortsov

We formulate AdS_2 higher spin gravity as BF theory with fields taking values in sl(N,R) algebra treated as higher spin algebra. The theory is topological and naturally extends the Jackiw-Teitelboim gravity model so as to include higher…

High Energy Physics - Theory · Physics 2015-06-18 K. B. Alkalaev

Chiral Higher Spin Gravity is the minimal extension of the graviton with propagating massless higher spin fields. It admits any value of the cosmological constant, including zero. Its existence implies that Chern-Simons vector models have…

High Energy Physics - Theory · Physics 2023-06-21 Alexey Sharapov , Evgeny Skvortsov , Richard Van Dongen

We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

Gauged off-shell Maxwell-Einstein supergravity in six dimensions with N=(1,0) supersymmetry has a higher derivative extension afforded by a supersymmetrized Riemann squared term. This theory admits a supersymmetric Minkowski x S^2…

High Energy Physics - Theory · Physics 2012-11-16 Y. Pang , C. N. Pope , E. Sezgin

We propose a holographic duality between a 2 dimensional (2d) chiral superconformal field theory and a certain theory of supergravity in 3d with flatspace boundary conditions that is obtained as a double scaling limit of a parity breaking…

High Energy Physics - Theory · Physics 2018-05-30 Arjun Bagchi , Rudranil Basu , Stéphane Detournay , Pulastya Parekh

We propose a new class of conformal higher spin gravities in three dimensions, which extends the one by Pope and Townsend. The main new feature is that there are infinitely many examples of the new theories with a finite number of higher…

High Energy Physics - Theory · Physics 2020-01-29 Maxim Grigoriev , Iva Lovrekovic , Evgeny Skvortsov