7-dimensional N $$ \mathcal{N} $$ = 2 consistent truncations using SL(5) exceptional field theory

On consistent truncations in N = 2∗ holography

Although Pilch-Warner (PW) gravitational renormalization group flow [1] passes a number of important consistency checks to be identified as a holographic dual to a largeN SU(N) N = 2 supersymmetric gauge theory, it fails to reproduce the free energy of the theory on S, computed with the localization techniques. This disagreement points to the existence of a larger dual gravitational consistent ...

Consistent Superalgebraic Truncations from D=5, N=5 Supergravity

We study a novel five-dimensional, N=5 supergravity in the context of Lie superalgebra SU(5/2). The possible successive superalgebraic truncations from N=5 theory to the lower supersymmetric N=4,3,2, and 1 supergravity theories are systematically analyzed as a sub-superalgebraic chain of SU(5/2)⊃ SU(4/2) ⊃ SU(3/2) ⊃ SU(2/2) ⊃ SU(1/2) by using the Kac-Dynkin weight techniques. PACS Nos: 04.65.+e...

Loops in exceptional field theory

Hitchin systems in N = 2 field theory

This note is a short review of the way Hitchin systems appear in four-dimensional N = 2 supersymmetric field theory. The literature on the Hitchin system and its role in quantum field theory is a vast one. Restricting attention just to the role of Hitchin systems in N = 2 supersymmetric field theory (thus neglecting such fascinating topics as T-duality on the Hitchin fibration and its relation ...

An Action for F-theory: SL(2)× R Exceptional Field Theory

We construct the 12-dimensional exceptional field theory associated to the group SL(2)× R. Demanding the closure of the algebra of local symmetries leads to a constraint, known as the section condition, that must be imposed on all fields. This constraint has two inequivalent solutions, one giving rise to 11-dimensional supergravity and the other leading to F-theory. Thus SL(2) × R exceptional f...