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We study the low energy behaviour of N=(2,2) supersymmetric gauge theories in 1+1 dimensions, with orthogonal and symplectic gauge groups and matters in the fundamental representation. We observe supersymmetry breaking in super-Yang-Mills…

High Energy Physics - Theory · Physics 2015-03-19 Kentaro Hori

We show how toroidally-compactified eleven-dimensional supergravity can be consistently truncated to yield a variety of maximally-supersymmetric ``massive'' supergravities in spacetime dimensions $D\le 8$. The mass terms arise as a…

High Energy Physics - Theory · Physics 2009-10-07 P. M. Cowdall , H. Lu , C. N. Pope , K. S. Stelle , P. K. Townsend

We give a global formulation of the coupling of four-dimensional scalar sigma models to Abelian gauge fields for the generalized situation when the "duality structure" of the Abelian gauge theory is described by a flat symplectic vector…

High Energy Physics - Theory · Physics 2019-12-19 C. I. Lazaroiu , C. S. Shahbazi

We study the supergravity duals of supersymmetric theories arising in the world-volume of D6 branes wrapping holomorphic two-cycles and special Lagrangian three-cycles within the framework of eight dimensional gauged supergravity. When…

High Energy Physics - Theory · Physics 2010-02-03 Jose D. Edelstein , Carlos Nunez

The SL(2,Z) anomaly recently derived for type IIB supergravity in 10 dimensions is shown to be a consequence of T-duality with the type IIA string, after compactification to 2 dimensions on an 8-fold. This explains the identity of the…

High Energy Physics - Theory · Physics 2016-09-06 Sunil Mukhi

It is frequently useful to construct dual descriptions of theories containing antisymmetric tensor fields by introducing a new potential whose curl gives the dual field strength, thereby interchanging field equations with Bianchi…

High Energy Physics - Theory · Physics 2009-09-15 John H. Schwarz , Ashoke Sen

The gauge transformations of p-form fields in supergravity theories acquire a non-commuting character when one introduces potentials both for the theory's original field strengths and for their duals. This has previously been shown in the…

High Energy Physics - Theory · Physics 2009-10-07 I. V. Lavrinenko , H. Lu , C. N. Pope , K. S. Stelle

Abelian T-duality in Gauged Linear Sigma Models (GLSM) forms the basis of the physical understanding of Mirror Symmetry as presented by Hori and Vafa. We consider an alternative formulation of Abelian T-duality on GLSM's as a gauging of a…

High Energy Physics - Theory · Physics 2019-02-04 Nana Cabo Bizet , Aldo Martínez-Merino , Leopoldo A. Pando Zayas , Roberto Santos-Silva

The first-order formulation of the G/K symmetric space sigma model of the scalar cosets of the supergravity theories is discussed when there is coupling of (m-1)-form matter fields. The Lie superalgebra which enables the dualized coset…

High Energy Physics - Theory · Physics 2010-01-15 Tekin Dereli , Nejat T. Yilmaz

The effective action for type II string theory compactified on a six torus is $N=8$ supergravity, which is known to have an $E_{7}$ duality symmetry. We show that this is broken by quantum effects to a discrete subgroup, $E_7(\Z)$, which…

High Energy Physics - Theory · Physics 2009-07-09 C. M. Hull , P. K. Townsend

We study the gauging of maximal $d=8$ supergravity using the embedding tensor formalism. We focus on SO$(3)$ gaugings, study all the possible choices of gauge fields and construct explicitly the bosonic actions (including the complicated…

High Energy Physics - Theory · Physics 2019-03-12 Oscar Lasso Andino , Tomas Ortin

the program of Langlands is studied here on the basis of: a)new concepts of global class field theory related to the explicit construction of global class fields and of reciprocity laws; b)the representations of the reductive algebraic…

Representation Theory · Mathematics 2009-11-17 Christian Pierre

We study holographic dual descriptions of very special conformal field theories with the T(2) symmetry. After constructing solutions in effective five dimensional Einstein gravity coupled with massive two-form fields, we uplift them to the…

High Energy Physics - Theory · Physics 2018-10-03 Yu Nakayama

The eleven-dimensional gravitational action invariant under local Poincare transformations is given by the dimensional continuation of the Euler class of ten dimensions. Here we show that the supersymmetric extension of this action leads,…

High Energy Physics - Theory · Physics 2007-05-23 Mokhtar Hassaine , Ricardo Troncoso , Jorge Zanelli

We study a class of duality transformations in generalised Z(2) gauge theories and Ising models on two- and three-dimensional compact lattices. The theories are interpreted algebraically in terms of the structure constants of a…

High Energy Physics - Theory · Physics 2010-10-27 N. Yokomizo , P. Teotonio-Sobrinho

All maximal supergravities in four space-time dimensions are presented. The ungauged Lagrangians can be encoded in an E_7(7)\Sp(56,R)/GL(28) matrix associated with the freedom of performing electric/magnetic duality transformations. The…

High Energy Physics - Theory · Physics 2009-11-13 Bernard de Wit , Henning Samtleben , Mario Trigiante

A way of covariantizing duality symmetric actions is proposed. As examples considered are a manifestly space-time invariant duality--symmetric action for abelian gauge fields coupled to axion-dilaton fields and gravity in D=4, and a…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Pasti , Dmitrij Sorokin , Mario Tonin

We review the actions of the supergravity theory in eleven dimensions as well as the type IIA and IIB supergravities in ten dimensions and derive the bosonic equations of motion in a coordinate-free notation. We also consider the existence…

Differential Geometry · Mathematics 2016-07-20 M. J. D. Hamilton

In this thesis the recently developed duality covariant approach to string and M-theory is investigated. In this formalism the U-duality symmetry of M-theory or T-duality symmetry of Type II string theory becomes manifest upon extending…

High Energy Physics - Theory · Physics 2018-01-03 Edvard Musaev

A brief description of the supersymmetric and duality covariant approach to supergravity is presented. The formalism is based on exceptional geometric structures and turns the hidden U-duality group into a manifest gauge symmetry. Tensor…

High Energy Physics - Theory · Physics 2015-04-08 Edvard T. Musaev