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We explore $\mathcal{N}=1$ supersymmetric extensions of algebras going beyond the Poincar\'e and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to…

High Energy Physics - Theory · Physics 2020-08-06 Patrick Concha , Remigiusz Durka , Evelyn Rodríguez

We address a supersymmetric embedding of domain walls with asymptotically anti-deSitter (AdS) space-times in five-dimensional simple, N=2 U(1) gauged supergravity theory constructed by Gunaydin, Townsend and Sierra. These conformally flat…

High Energy Physics - Theory · Physics 2009-09-17 Klaus Behrndt , Mirjam Cvetic

We construct the dilaton Weyl multiplet for $N=2$ conformal supergravity in four dimensions. Beginning from an on-shell vector multiplet coupled to the standard Weyl multiplet, the equations of motion can be used to eliminate the…

High Energy Physics - Theory · Physics 2018-04-18 Daniel Butter , Subramanya Hegde , Ivano Lodato , Bindusar Sahoo

We study the exterior solution for a static, spherically symmetric source in Weyl conformal gravity in terms of the Newman--Penrose formalism. We first show that both the static, uncharged black hole solution of Mannheim and Kazanas and the…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Petr Jizba , Kamil Mudruňka

We study fully BPS and a broad class of half-BPS stationary configurations of four-dimensional Euclidean N=2 supergravity with higher-derivative interactions. Working within the off-shell conformal supergravity framework of de Wit and Reys…

High Energy Physics - Theory · Physics 2026-02-04 Soumya Adhikari , Abhinava Bhattacharjee , Amitabh Virmani

This paper presents a projective superspace formulation for 4D N = 2 matter-coupled supergravity. We first describe a variant superspace realization for the N = 2 Weyl multiplet. It differs from that proposed by Howe in 1982 by the choice…

High Energy Physics - Theory · Physics 2009-01-27 S. M. Kuzenko , U. Lindstrom , M. Rocek , G. Tartaglino-Mazzucchelli

Quantum gravity in AdS$_7 \times$S$^4$ is dual to a 6d superconformal field theory, known as the 6d $(2,0)$ theory, which is very challenging to describe because it lacks a conventional Lagrangian description. On the other hand, certain…

High Energy Physics - Theory · Physics 2022-12-06 Arthur Lipstein , Tristan Orchard

Using the superspace formulation for the 5D N = 1 Weyl supermultiplet developed in arXiv:0802.3953, we elaborate the concept of conformally flat superspace in five dimensions. For a large family of supersymmetric theories (including…

High Energy Physics - Theory · Physics 2009-12-04 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We simplify and extend the construction of half-BPS solutions to 11-dimensional supergravity, with isometry superalgebra D(2,1;\gamma) \oplus D(2,1;\gamma). Their space-time has the form AdS_3 x S^3 x S^3 warped over a Riemann surface…

High Energy Physics - Theory · Physics 2015-06-18 Constantin Bachas , Eric D'Hoker , John Estes , Darya Krym

We perform all possible supersymmetric truncations of the four-dimensional N=3 dilaton Weyl multiplet, which realizes an R-symmetry $SU(2) \times U(1) \times U(1)$, to N=2. A particular truncation procedure does not break any of the…

High Energy Physics - Theory · Physics 2025-12-23 Soumya Adhikari , Aravind Aikot , Eswar Krishnan , Bindusar Sahoo , Sharun Shanmughan

For a static and spherically symmetric spacetime, we investigate the class of exact solutions that arise when two fundamental geometric constraints are imposed simultaneously: the Karmarkar's condition and the vanishing of the Weyl tensor.…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Samstuti Chanda , Ranjan Sharma , Sunil D. Maharaj

In this work, we investigate possible supersymmetric extensions of the Carrollian algebra and the Carrollian conformal algebra in both $d=4$ and $d=3$. For the super-Carrollian algebra in $d=4$, we identify multiple admissible structures,…

High Energy Physics - Theory · Physics 2025-09-04 Yu-fan Zheng , Bin Chen

We construct SO(2,1) x SO(3)-invariant half-BPS solutions in six-dimensional (0,4) supergravity with m tensor multiplets. The space-time manifold of each one of these solutions consists of an AdS_2 x S^2 warped over a Riemann surface Sigma…

High Energy Physics - Theory · Physics 2015-05-28 Marco Chiodaroli , Eric D'Hoker , Yu Guo , Michael Gutperle

In this article we complete the classification of the supersymmetric solutions of N=2 D=4 ungauged supergravity coupled to an arbitrary number of vector- and hypermultiplets. We find that in the timelike case the hypermultiplets cause the…

High Energy Physics - Theory · Physics 2008-11-26 Mechthild Huebscher , Patrick Meessen , Tomas Ortin

We examine the relation between supersymmetric localization on $\mathbb{S}^4$ and standard QFT results for non-conformal theories in flat space. Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional SU($N$)…

High Energy Physics - Theory · Physics 2024-08-14 Marco Billo' , Luca Griguolo , Alessandro Testa

A new static partially twisted solution of N=4, SO(4) gauged supergravity in D=11 is obtained in this work using Cveti\^c et al embedding of four dimensional into eleven dimensional supergravities. In four dimensions we get two solutions:…

High Energy Physics - Theory · Physics 2009-11-10 Hector H. Hernandez , Hugo A. Morales-Tecotl

We present a simple construction of solutions to the supersymmetric higher spin theory based on solutions to bosonic theories. We illustrate this for the case of the Didenko-Vasiliev solution in arXiv:0906.3898, for which we have found a…

High Energy Physics - Theory · Physics 2015-05-20 Jun Bourdier , Nadav Drukker

In a supergravity framework, the $\cal N$-extended anti-de Sitter (AdS) superspace in four spacetime dimensions, $\text{AdS}^{4|4\cal N} $, is a maximally symmetric background that is described by a curved superspace geometry with structure…

High Energy Physics - Theory · Physics 2025-03-12 Nowar E. Koning , Sergei M. Kuzenko , Emmanouil S. N. Raptakis

This review considers the properties of classical solutions to supergravity theories with partially unbroken supersymmetry. These solutions saturate Bogomol'ny-Prasad-Sommerfield bounds on their energy densities and are the carriers of the…

High Energy Physics - Theory · Physics 2009-09-23 K. S. Stelle

String theory contains various extended objects. Among those, objects of codimension two (such as the D7-brane) are particularly interesting. Codimension two objects carry non-Abelian charges which are elements of a discrete U-duality group…

High Energy Physics - Theory · Physics 2014-11-19 Jan de Boer , Daniel R. Mayerson , Masaki Shigemori