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We propose new classes of $4d$ $\mathcal{N}\!=\!1$ S-confining gauge theories, with a simple gauge group, rank-two matter and cubic superpotentials. The gauge group can be symplectic, orthogonal or special unitary. In some cases we derive…

High Energy Physics - Theory · Physics 2023-05-18 Stephane Bajeot , Sergio Benvenuti , Matteo Sacchi

We study supersymmetric solutions in four-dimensional $N=6$ gauged supergravity with $SO(6)$ gauge group. There is a unique $N=6$ supersymmetric $AdS_4$ vacuum with $SO(6)$ symmetry dual to an $N=6$ SCFT in three dimensions. We find a…

High Energy Physics - Theory · Physics 2021-03-31 Parinya Karndumri , Jakkapat Seeyangnok

We study supersymmetric solutions within seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets in seven dimensions. The gauged supergravity contains six vector fields that gauge the $SO(4)\sim SO(3)\times SO(3)$…

High Energy Physics - Theory · Physics 2018-10-17 Parinya Karndumri , Patharadanai Nuchino

We consider generalized Scherk-Schwarz reductions of E$_9$ exceptional field theory to D=2 space-time dimensions and in particular construct the resulting scalar potential of all gauged supergravities that can be obtained in this way. This…

High Energy Physics - Theory · Physics 2022-12-12 Guillaume Bossard , Franz Ciceri , Gianluca Inverso , Axel Kleinschmidt

The canonical structure of supergravity with a cosmological constant is analyzed in 2 + 1 dimensions using the Dirac constraint formalism. The first class constraints are used to find two Bosonic and one Fermionic gauge symmetries that…

General Relativity and Quantum Cosmology · Physics 2020-08-26 D. G. C. McKeon

Eleven-dimensional supergravity reveals large exceptional symmetries upon reduction, in accordance with the U-duality groups of M-theory, but their higher-dimensional geometric origin has remained a mystery. In this letter, we show that…

High Energy Physics - Theory · Physics 2013-12-16 Olaf Hohm , Henning Samtleben

The supergravity dual of superconformal anomaly in a four-dimensional supersymmetric gauge theory is investigated. We consider a well-established dual correspondence between the ${\cal N}=1$ $SU(N+M)\times SU(N)$ supersymmetric gauge theory…

High Energy Physics - Theory · Physics 2012-10-02 W. F. Chen

We derive four dimensional gauge theories with exceptional groups $F_4$, $E_8$, $E_7$, and $E_7$ with matter, by starting from the duality between the heterotic string on $K3$ and F-theory on a elliptically fibered Calabi-Yau 3-fold. This…

High Energy Physics - Theory · Physics 2009-10-30 John Brodie

We study the N=4 gauged supergravity theory which arises from the consistent truncation of IIB supergravity on the coset T^{1,1}. We analyze three N=2 subsectors and in particular we clarify the relationship between true superpotentials for…

High Energy Physics - Theory · Physics 2015-06-03 Nick Halmagyi , James T. Liu , Phillip Szepietowski

The gauge theories underlying gauged supergravity and exceptional field theory are based on tensor hierarchies: generalizations of Yang-Mills theory utilizing algebraic structures that generalize Lie algebras and, as a consequence, require…

High Energy Physics - Theory · Physics 2019-10-24 Roberto Bonezzi , Olaf Hohm

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold $SO(4,n)/SO(4)\times…

High Energy Physics - Theory · Physics 2010-02-03 R. D'Auria , S. Ferrara , S. Vaulà

We reconsider a one-parameter class of known solutions of the circle compactification of Romans six-dimensional half-maximal supergravity. The gauge-theory duals of these solutions are confining four-dimensional field theories. Their UV…

High Energy Physics - Theory · Physics 2019-03-27 Daniel Elander , Maurizio Piai , John Roughley

This paper contains the results of our investigations of BPS instantons and of our work on N=2 supersymmetric gauge theories. The BPS instantons we study appear in type II string theory compactifications on Calabi-Yau threefolds. In the…

High Energy Physics - Theory · Physics 2007-08-10 Mathijs de Vroome

We classify four-dimensional $\mathcal{N}=1$ supersymmetric gauge theories with a simple gauge group admitting a large $N$ limit that flow to non-trivial superconformal fixed points in the infrared. We focus on the cases where the large $N$…

High Energy Physics - Theory · Physics 2025-10-23 Minseok Cho , Ki-Hong Lee , Jaewon Song

We show that the data needed for the method of the embedding tensor employed in gauging supergravity theories are precisely those of a Leibniz algebra (with one of its induced quotient Lie algebras embedded into a rigid symmetry Lie algebra…

High Energy Physics - Theory · Physics 2019-10-02 Alexei Kotov , Thomas Strobl

We study holographic RG flow solutions within four-dimensional $N=4$ gauged supergravity obtained from type IIA and IIB string theories compactified on $T^6/\mathbb{Z}_2\times \mathbb{Z}_2$ orbifold with gauge, geometric and non-geometric…

High Energy Physics - Theory · Physics 2017-07-11 Parinya Karndumri , Khem Upathambhakul

We study consistent truncations of M-theory to gauged N=2 supergravity in four dimensions, based on a large class of SU(3)-structures in seven dimensions. We show that the gauging involves isometries of the vector multiplet scalar manifold…

High Energy Physics - Theory · Physics 2012-12-05 Davide Cassani , Paul Koerber , Oscar Varela

We study a solution generating technique in supergravity which can be viewed as a generalised version of U-duality, taking solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity. The…

High Energy Physics - Theory · Physics 2023-01-04 Chris D. A. Blair , Sofia Zhidkova

We consider the subset of gauged maximal supergravities that consists of the SO(n+1) gauge fields A^{ij} and the scalar deformation T^{ij} of the S^n in the spherical reduction of M-theory or type IIB. We focus on the Abelian Cartan…

High Energy Physics - Theory · Physics 2015-06-17 Hai-Shan Liu , H. Lu

We show that the D=6 SU(2) gauged supergravity of van Nieuwenhuizen et al, obtained by dimensional reduction of the D=7 topologically massive gauged supergravity and previously thought not to be dimensionally reducible, can be further…

High Energy Physics - Theory · Physics 2009-10-30 P. M. Cowdall