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We show how to systematically derive the complete set of the gauge transformations of different types of the gauge invariant models, which are the chiral Schwinger and CP$^1$ with Chern-Simons term, in the Lagrangian Formalism.

High Energy Physics - Theory · Physics 2008-11-26 Seung-Kook Kim , Yong-Wan Kim , Young-Jai Park

The two-dimensional self-dual Chern--Simons equations are equivalent to the conditions for static, zero-energy solutions of the $(2+1)$-dimensional gauged nonlinear Schr\"odinger equation with Chern--Simons matter-gauge dynamics. In this…

High Energy Physics - Theory · Physics 2009-10-22 Gerald Dunne , Roman Jackiw

We conjecture a new sequence of dualities between Chern-Simons gauge theories simultaneously coupled to fundamental bosons and fermions. These dualities reduce to those proposed by Aharony when the number of bosons or fermions is zero. Our…

High Energy Physics - Theory · Physics 2018-02-02 Kristan Jensen

We study avatars of T-duality within Sen's formalism for self-dual field strengths in various dimensions. This formalism is shown to naturally accommodate the T-duality relation between Type IIA/IIB theories when compactified on a circle…

High Energy Physics - Theory · Physics 2023-11-16 Subhroneel Chakrabarti , Madhusudhan Raman

This thesis investigates the quantum properties of T-duality invariant formalisms of String Theory. We introduce and review duality invariant formalisms of String Theory including the Doubled Formalism. We calculate the background field…

High Energy Physics - Theory · Physics 2010-12-21 Daniel C. Thompson

This is a general introduction to duality in field theories. The existence and breaking of global symmetries is used as a guideline to systematically prove duality between different field theories. Systems discussed include abelian and…

High Energy Physics - Theory · Physics 2009-10-30 Fernando Quevedo

We propose candidate gravity duals for a class of non-Abelian z=2 Lifshitz Chern-Simons (LCS) gauge theories studied by Mulligan, Kachru and Nayak. These are nonrelativistic gauge theories in 2+1 dimensions in which parity and time-reversal…

High Energy Physics - Theory · Physics 2015-06-03 Koushik Balasubramanian , John McGreevy

We use conformal embeddings involving exceptional affine Kac-Moody algebras to derive new dualities of three-dimensional topological field theories. These generalize the familiar level-rank duality of Chern-Simons theories based on…

High Energy Physics - Theory · Physics 2019-10-31 Clay Cordova , Po-Shen Hsin , Kantaro Ohmori

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , J. R. S. Nascimento , A. Yu. Petrov , A. J. da Silva

The known Lorentz invariant string field theory for open N=2 strings is combined with a generalization of the twistor description of anti-self-dual (super) Yang-Mills theories. We introduce a Chern-Simons-type Lagrangian containing twistor…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld , Alexander D. Popov

We consider the target space theory of bosonic and heterotic string theory to first order in $\alpha'$ compactified to three dimensions, using a formulation that is manifestly T-duality invariant under ${\rm O}(d,d,\mathbb{R})$ with $d=23$…

High Energy Physics - Theory · Physics 2023-08-02 Camille Eloy , Olaf Hohm , Henning Samtleben

We present a general analysis of gauge invariant, exact and metric independent forms which can be constructed using higher rank field-strength tensors. The integrals of these forms over the corresponding space-time coordinates provides new…

High Energy Physics - Theory · Physics 2014-01-27 Ignatios Antoniadis , George Savvidy

T-Duality is a poorly understood symmetry of the space-time fields of string theory that interchanges long and short distances. It is best understood in the context of toroidal compactification where, loosely speaking, radii of the torus…

High Energy Physics - Theory · Physics 2008-11-26 Mark Evans , Ioannis Giannakis

Chiral lagrangians describing the interactions of Goldstone bosons in a theory possessing spontaneous symmetry breaking are effective, non-renormalizable field theories in four dimensions. Yet, in a momentum expansion one is able to extract…

High Energy Physics - Theory · Physics 2009-10-22 D. Espriu , J. Matias

On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Relations with dual electrodynamics, with the…

High Energy Physics - Theory · Physics 2011-09-13 Valeri V. Dvoeglazov

Instantons, monopoles and vortices have become paradigms of topological structures in field theory and quantum mechanics, with important applications in particle physics, astrophysics, condensed matter physics and mathematics. We have…

High Energy Physics - Theory · Physics 2014-08-29 Sarmistha Kumar

We consider discrete gauge symmetries in D dimensions arising as remnants of broken continuous gauge symmetries carried by general antisymmetric tensor fields, rather than by standard 1-forms. The lagrangian for such a general ${\bf Z}_p$…

High Energy Physics - Theory · Physics 2015-06-17 Mikel Berasaluce-González , Guillermo Ramírez , Angel M. Uranga

We revisit partition functions of closed strings on toroidal backgrounds, including their $\mathbb{Z}_N$ shift orbifolds in the formalism where the dimension of the target space is doubled to make T-duality manifest. In such a T-duality…

High Energy Physics - Theory · Physics 2014-06-10 H. S. Tan

We revisit the construction of self-dual field theory in 4l+2 dimensions using Chern-Simons theory in 4l+3 dimensions, building on the work of Witten. Careful quantization of the Chern-Simons theory reveals all the topological subtleties…

High Energy Physics - Theory · Physics 2007-05-23 Dmitriy Belov , Gregory W. Moore

A new dynamic SU(3)-structure solution in type-IIA is found by T-dualising a deformation of the Maldacena-Nastase solution along an SU(2) isometry. It is argued that this is dual to a quiver gauge theory with multiple Chern-Simons levels. A…

High Energy Physics - Theory · Physics 2015-06-17 Niall T. Macpherson