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We describe non-Abelian T-dualities for $\mathcal{N} = 2$ two dimensional gauged linear sigma model (GLSM). We start with the case of left and right $(2, 2)$ supersymmetry (SUSY), $U(1)$ gauge group, and global non-Abelian symmetries. Our…

High Energy Physics - Theory · Physics 2024-04-24 Nana Cabo Bizet

We propose an alternative understanding of the relationship between massive and massless magnonic TBA systems, using the T-duality symmetries of the Homogeneous sine-Gordon models. This is shown to be in agreement with a previous treatment…

High Energy Physics - Theory · Physics 2011-02-16 Patrick Dorey , J. Luis Miramontes

We construct and analyze dual N=4 supersymmetric gauge theories in three dimensions with unitary and symplectic gauge groups. The gauge groups and the field content of the theories are encoded in quiver diagrams. The duality exchanges the…

High Energy Physics - Theory · Physics 2009-09-17 Jan de Boer , Kentaro Hori , Hirosi Ooguri , Yaron Oz

We consider massive dual pairs of p-forms and (D-p-1)-forms described by non-linear Lagrangians, where non-linear curvature terms in one theory translate into non-linear mass-like terms in the dual theory. In particular, for D=2p and p even…

High Energy Physics - Theory · Physics 2015-06-23 S. Ferrara , A. Sagnotti

We develop the Dirac-Schwinger-Zwanziger (DSZ) quantization of classical abelian gauge theories with general duality structure on oriented Lorentzian four-manifolds $(M,g)$ of arbitrary topology, obtaining, as a result, the…

Differential Geometry · Mathematics 2021-01-19 C. Lazaroiu , C. S. Shahbazi

An algebraic restriction of the nonabelian self-dual Chern-Simons-Higgs systems leads to coupled abelian models with interesting mass spectra. The vacua are characterized by embeddings of $SU(2)$ into the gauge algebra, and in the broken…

High Energy Physics - Theory · Physics 2009-10-28 Gerald Dunne

We show how Higgs mechanism for non-abelian N=2 gauge theories in four dimensions is geometrically realized in the context of type II strings as transitions among compactifications of Calabi-Yau threefolds. We use this result and T-duality…

High Energy Physics - Theory · Physics 2009-09-17 Kentaro Hori , Hirosi Ooguri , Cumrun Vafa

The doubled formulation of string theory, which is T-duality covariant and enlarges spacetime with extra coordinates conjugate to winding number, is reformulated and its geometric and topological features examined. It is used to formulate…

High Energy Physics - Theory · Physics 2008-11-26 C M Hull

We present a systematic recipe for generating and classifying duality transformations in one-dimensional quantum lattice systems. Our construction emphasizes the role of global symmetries, including those described by (non)-abelian groups…

Quantum Physics · Physics 2023-07-10 Laurens Lootens , Clement Delcamp , Gerardo Ortiz , Frank Verstraete

New actions in D=2 and D=3 are proposed that are dual equivalent to known theories displaying well defined chirality and helicity, respectively, along with a new interpolating action that maps continuously through the original dualities.…

High Energy Physics - Theory · Physics 2007-12-03 E. M. C. Abreu , A. Calil , L. S. Grigorio , M. S. Guimaraes , C. Wotzasek

The Ising model is the simplest to describe many-body effects in classical statistical mechanics. Duality analysis leads to a critical point under several assumptions. The Ising model itself has $Z(2)$ symmetry. The basis of the duality…

Quantum Physics · Physics 2024-06-27 Masayuki Ohzeki

We consider no-scale extended supergravity models as they arise from string and M-theory compactifications in presence of fluxes. The special role of gauging axion symmetries for the Higgs and superHiggs mechanism is outlined.

High Energy Physics - Theory · Physics 2007-05-23 Sergio Ferrara

We study the mass generation of self-dual two form gauge field by topologically coupling it to the three rank anti-symmetric field. We use the various non-covariant Lagrangian of self-dual two form to perform the analysis and find that the…

High Energy Physics - Theory · Physics 2012-06-19 Wung-Hong Huang

We study the invariance under duality transformations in massless and massive $p-$form field theories and obtain the Noether generators of the infinitesimal transformations that correspond to this symmetry. These generators are realized in…

High Energy Physics - Theory · Physics 2010-12-09 Ernesto Contreras , Lorenzo Leal , Yisely Martinez

We study the higher derivative corrections that occur in type II superstring theories in ten dimensions or less. Assuming invariance under a discrete duality group G(Z) we show that the generic functions of the scalar fields that occur can…

High Energy Physics - Theory · Physics 2008-11-26 Neil Lambert , Peter West

String theory has the T-duality symmetry when the target space has Abelian isometries. A generalization of the T-duality, where the isometry group is non-Abelian, is known as the non-Abelian T-duality, which works well as a…

High Energy Physics - Theory · Physics 2019-10-24 Yuho Sakatani

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this…

High Energy Physics - Theory · Physics 2009-11-07 M. Botta Cantcheff , J. A. Helayël-Neto

U(1) gauge theory on ${\bf R}^4$ is known to possess an electric-magnetic duality symmetry that inverts the coupling constant and extends to an action of $SL(2,{\bf Z})$. In this paper, the duality is studied on a general four-manifold and…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We study the vacuum functional for a system of p-branes interacting with Maxwell fields of higher rank. This system represents a generalization of the usual electrodynamics of point particles, with one essential difference: namely, that the…

High Energy Physics - Theory · Physics 2009-10-31 S. Ansoldi , A. Aurilia , L. Marinatto , E. Spallucci

We study the phenomenon of duality in hard exclusive reactions to which QCD factorization applies. Considering "two-photon"-like processes in the scalar $\phi^3_E$ model and also hadron-pair production from the collisions of a real…

High Energy Physics - Phenomenology · Physics 2009-07-22 I. V. Anikin , I. O. Cherednikov , N. G. Stefanis , O. V. Teryaev
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