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A global superalgebra with 32 supercharges and all possible central extensions is studied in order to extract some general properties of duality and hidden dimensions in a theory that treats $p$-branes democratically. The maximal number of…

High Energy Physics - Theory · Physics 2009-10-30 Itzhak Bars

For d=10 N=1 SUGRA coupled to d=10 N=1 SYM, anomaly cancellation places severe constraints on the allowed gauge groups. Besides the ones known to appear in string theory, only U(1)^496 and E_8 x U(1)^248 are allowed. There are no known…

High Energy Physics - Theory · Physics 2014-11-18 Bartomeu Fiol

This paper is an extension of the results presented in \cite{Guarino:2024gke}. We study $ G_S$-invariant subsectors of maximal gauged supergravities and show that such models can provide consistent truncations even when $G_S$ is not a…

High Energy Physics - Theory · Physics 2026-04-28 Anik Rudra , Colin Sterckx , Mario Trigiante

We study U-duality symmetries of toroidally compactified M theory from the membrane worldvolume point of view. This is done taking the most general set of bosonic background fields into account. Upon restriction to pure moduli backgrounds,…

High Energy Physics - Theory · Physics 2010-11-19 Andre Lukas , Burt A. Ovrut

N=4 Poincare supergravity has a global SU(1,1) duality symmetry that acts manifestly only on shell as it involves duality rotations of vector fields. A U(1) subgroup of this symmetry is known to be anomalous at the quantum level in the…

High Energy Physics - Theory · Physics 2016-11-09 J. J. M. Carrasco , R. Kallosh , R. Roiban , A. A. Tseytlin

We present a new duality between the F-terms of supersymmetric field theories defined in two- and four-dimensions respectively. The duality relates N=2 supersymmetric gauge theories in four dimensions, deformed by an Omega-background in one…

High Energy Physics - Theory · Physics 2015-05-27 Nick Dorey , Timothy J. Hollowood , Sungjay Lee

We study flows on the scalar manifold of N=8 gauged supergravity in five dimensions which are dual to certain mass deformations of N=4 super Yang--Mills theory. In particular, we consider a perturbation of the gauge theory by a mass term…

High Energy Physics - Theory · Physics 2009-10-31 A. Brandhuber , K. Sfetsos

Conventional wisdom holds that no four-dimensional gravity field theory can be ultraviolet finite. This understanding is based mainly on power counting. Recent studies confirm that one-loop N = 8 supergravity amplitudes satisfy the…

High Energy Physics - Theory · Physics 2008-11-26 Zvi Bern , Lance J. Dixon , Radu Roiban

We show that there exists a consistent truncation of 11 dimensional supergravity to the 'massless' fields of maximal (N=4) 7 dimensional gauged supergravity. We find the complete expressions for the nonlinear embedding of the 7 dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Horatiu Nastase , Diana Vaman , Peter van Nieuwenhuizen

Supersymmetric and non-supersymmetric deformations of large $N=(4,4)$ SCFT with superconformal symmetry $D^1(2,1;\alpha)\times D^1(2,1;\alpha)$ are explored in the gravity dual described by a Chern-Simons $N=8$, $(SO(4)\times SO(4))\ltimes…

High Energy Physics - Theory · Physics 2014-05-22 Parinya Karndumri

Non-abelian U-duality originates from the construction of exceptional Drinfel'd algebra (EDA), which extends the constriction of the classical Drinfel'd double. This symmetry is a natural extension of Poisson--Lie T-duality and is believed…

High Energy Physics - Theory · Physics 2022-12-05 Edvard T. Musaev , Yuho Sakatani

I review electric-magnetic duality from the perspective of extended supergravity theories in four spacetime dimensions

High Energy Physics - Theory · Physics 2009-11-07 Bernard de Wit

We present the gravity dual of large N supersymmetric gauge theories on a squashed five-sphere. The one-parameter family of solutions is constructed in Euclidean Romans F(4) gauged supergravity in six dimensions, and uplifts to massive type…

High Energy Physics - Theory · Physics 2014-10-08 Luis F. Alday , Martin Fluder , Paul Richmond , James Sparks

We present a new anomaly-free gauged N=1 supergravity model in six dimensions. The gauge group is E_7xG_2xU(1)_R, with all hyperinos transforming in the product representation {56,14). The theory admits monopole compactifications to…

High Energy Physics - Theory · Physics 2009-11-11 Spyros D. Avramis , Alex Kehagias , S. Randjbar-Daemi

Maximally supersymmetric gauge theories have experienced renewed interest due to the AdS/CFT correspondence and its conjectured S-duality. These gauge theories possess a large amount of symmetry and have quasi-integrable properties. We…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers

We find new $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ dualities through the twisted compactifications of 4d supersymmetric theories on $S^2$. Our findings include dualities for both $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ non-Abelian…

High Energy Physics - Theory · Physics 2025-06-11 Jiaqun Jiang , Satoshi Nawata , Jiahao Zheng

We study the four-dimensional {\it N}=8 maximal supergravity in the context of Lie superalgebra SU(8/1). All possible successive superalgebraic truncations from four-dimensional {\it N}=8 theory to {\it N}=7, 6, $\cdots$, 1 supergravity…

High Energy Physics - Theory · Physics 2014-11-18 Chang-Ho Kim , Young-Jai Park , Kee Yong Kim , Yongduk Kim

We argue that recent results in string perturbation theory indicate that the four-graviton amplitude of four-dimensional N=8 supergravity might be ultraviolet finite up to eight loops. We similarly argue that the h-loop M-graviton amplitude…

High Energy Physics - Theory · Physics 2008-11-26 Michael B. Green , Jorge G. Russo , Pierre Vanhove

We analyze the U-duality group for the case of a type II superstring compactified to four dimensions on a K3 surface times a torus. The various limits of this theory are considered which have interpretations as type IIA and IIB…

High Energy Physics - Theory · Physics 2010-11-01 Paul S. Aspinwall , David R. Morrison

We reconsider the one loop divergence of ${\cal N}=8$ supergravity in four dimensions. We compute the finite effective potential of ${\cal N}=8$ anti-deSitter supergravity and interpret it as logarithmic running of the cosmological…

High Energy Physics - Theory · Physics 2016-02-17 Finn Larsen , Pedro Lisbao