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In this article we consider simultaneous T-dualization of type II superstring action in pure spinor formulation. Simultaneous T-dualization means that we make T-dualization at the same time along some subset of initial coordinates marked by…

High Energy Physics - Theory · Physics 2019-01-04 Bojan Nikolic , Branislav Sazdovic

Chiral p-forms are, in fact, present in many supersymmetric and supergravity models in two, six and ten dimensions. In this work, the dual projection procedure, which is essentially equivalent to a canonical transformation, is used to…

High Energy Physics - Theory · Physics 2014-11-18 Everton M. C. Abreu

We demonstrate that the technique of abelian bosonization through duality transformations can be extended to gauging anomalous symmetries. The example of a Dirac fermion theory is first illustrated. This idea is then also applied to…

High Energy Physics - Theory · Physics 2016-08-24 Mohammad R. Garousi

The (pre)multisymplectic geometry of the De Donder--Weyl formalism for field theories is further developed for a variety of field theories including a scalar field theory from the canonical Klein-Gordon action, the electric and magnetic…

Mathematical Physics · Physics 2023-02-03 Joaquim Gomis , Arnoldo Guerra , Narciso Román-Roy

These are notes of a series of lectures on mirror symmetry and topological string theory given at the Mathematical Sciences Center at Tsinghua University. The N=2 superconformal algebra, its deformations and its chiral ring are reviewed. A…

High Energy Physics - Theory · Physics 2012-07-04 Murad Alim

It is well-known that principal chiral models and symmetric space models in two-dimensional Minkowski space have an infinite-dimensional algebra of hidden symmetries. Because of the relevance of symmetric space models to duality symmetries…

High Energy Physics - Theory · Physics 2009-10-28 John H. Schwarz

We discuss theories containing higher-order forms in various dimensions. We explain how Chern--Simons-type theories of forms can be defined from TQFTs in one less dimension. We also exhibit new TQFTs with interacting Yang--Mills fields and…

High Energy Physics - Theory · Physics 2014-11-18 Laurent Baulieu , Eliezer Rabinovici

In these lectures I review classical aspects of the self-dual Chern-Simons systems which describe charged scalar fields in $2+1$ dimensions coupled to a gauge field whose dynamics is provided by a pure Chern-Simons Lagrangian. These…

High Energy Physics - Theory · Physics 2015-06-26 Gerald Dunne

Beginning with the self-dual two-forms approach to the Einstein equations, we show how, by choosing basis spinors which are proportional to solutions of the Dirac equation, we may rewrite the vacuum Einstein equations in terms of a set of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James D. E. Grant

The Sen formulation for chiral $(2p)$-form in $4p+2$ dimensions describes a system with two separate sectors, one is physical while the other is unphysical. Each contains a chiral form and a metric. In this paper, we focus on the cases…

High Energy Physics - Theory · Physics 2024-08-23 Sujiphat Janaun , Anajak Phonchantuek , Pichet Vanichchapongjaroen

We construct a non-Abelian gauge theory of chiral 2-forms (self-dual gauge fields) in 6 dimensions with a spatial direction compactified on a circle of radius R. It has the following two properties. (1) It reduces to the Yang-Mills theory…

High Energy Physics - Theory · Physics 2011-07-13 Pei-Ming Ho , Kuo-Wei Huang , Yutaka Matsuo

We formulate interacting antisymmetric tensor gauge theory in a configuration space consisting of a pair of dual field strengths which has a natural symplectic structure. The field equations are formulated as the intersection of a pair of…

High Energy Physics - Theory · Physics 2026-02-03 Chris Hull , Maxim Zabzine

By mapping the relativistic version of the Chern-Simons-Landau-Ginzburg theory in 2+1 dimensions to the 3D lattice Villain x-y model coupled with the Chern-Simons gauge field, we investigate phase transitions of Chern-Simons bosons in the…

Condensed Matter · Physics 2008-12-18 Leonid P. Pryadko , Shou-Cheng Zhang

We construct a framework which unifyies in dual pairs the fields and anti-fields of the Batalin and Vilkovisky quantization method. We consider gauge theories of p-forms coupled to Yang-Mills fields. Our algorithm generates many topological…

High Energy Physics - Theory · Physics 2007-05-23 Laurent Baulieu

In this paper, we completely characterize time-reversal invariant three-dimensional Chern-Simons gauge theories with torus gauge group. At the level of the Lagrangian, toral Chern-Simons theory is defined by an integral lattice, while at…

High Energy Physics - Theory · Physics 2022-11-29 Roman Geiko , Gregory W. Moore

We present a general approach to construct a class of generalized topological field theories with constraints by means of generalized differential calculus and its application to connection theory. It turns out that not only the ordinary BF…

High Energy Physics - Theory · Physics 2009-11-10 Yi Ling , Roh-Suan Tung , Han-Ying Guo

Interactions of $a_2, K^*_2, f_2$ and $f_2'$ tensor-mesons with low-energy $\pi, K, \eta, \eta'$ pseudo-scalar mesons are constrained by chiral symmetry. We derive a chiral Lagrangian of tensor mesons in which the tensor mesons are treated…

High Energy Physics - Phenomenology · Physics 2010-02-03 Chi-Keung Chow , Soo-Jong Rey

In assumption,that string model is the integrable model for particular kind of the background fields, the closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system. It is…

High Energy Physics - Theory · Physics 2014-11-18 V. D. Gershun

String compactifications with non-abelian gauge fields localized on D-branes, with background NSNS and RR 3-form fluxes, and with non-trivial warp factors, can naturally exist within T-dual versions of type I string theory. We develop a…

High Energy Physics - Theory · Physics 2010-04-05 Marcus Berg , Michael Haack , Boris Kors

The argument of Hodge duality symmetry is introduced starting from the electromagnetic field. Introducing bosonic string theory, O(d,d) duality symmetry can be implemented when there exist d-symmetries, which allows one to write Hodge-dual…

General Relativity and Quantum Cosmology · Physics 2016-08-19 Gabriele Gionti , S. J