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Related papers: Gauging Wess-Zumino-Witten Models

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A chiral $(N,0) $ supergravity theory in d=2 dimensions for any $N$ and its induced action can be obtained by constraining the currents of an Osp(N$|$2) WZWN model. The underlying symmetry algebras are the nonlinear SO(N) superconformal…

High Energy Physics - Theory · Physics 2009-10-22 G. W. Delius , M. T. Grisaru , P. van Nieuwenhuizen

We study the gauge/gravity duality for theories with four dimensional ${\cal N}=2$ supersymmetries. We consider the large class of generalized quiver field theories constructed recently by one of us (D.G.). These field theories can also be…

High Energy Physics - Theory · Physics 2009-11-10 Davide Gaiotto , Juan Maldacena

We discuss the possible applications of string theory for the construction of generalizations of the $SU(3)\times SU(2)\times U(1)$ standard model of strong and electroweak interactions. This includes an investigation of effective $d=4$…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans Peter Nilles

We complete the construction of the Neveu-Schwarz sector of heterotic string field theory begun in hep-th/0406212 by giving a closed-form expression for the action and gauge transformations. Just as the Wess-Zumino-Witten (WZW) action for…

High Energy Physics - Theory · Physics 2008-11-26 Nathan Berkovits , Yuji Okawa , Barton Zwiebach

Using the equivalence between Scherk-Schwarz reductions and twisted tori compactifications, we discuss the effective theories obtained by this procedure from M-theory and N =4 type II orientifold constructions with Neveu-Schwarz and…

High Energy Physics - Theory · Physics 2010-04-05 Gianguido Dall'Agata , Sergio Ferrara

We present an algebraic approach to string theory. An embedding of $sl(2|1)$ in a super Lie algebra together with a grading on the Lie algebra determines a nilpotent subalgebra of the super Lie algebra. Chirally gauging this subalgebra in…

High Energy Physics - Theory · Physics 2009-10-28 E. Ragoucy , A. Sevrin , P. Sorba

In terms of non-commutative geometry, we show that the $\sigma$--model can be built up by the gauge theory on discrete group $Z_2$. We introduce a constraint in the gauge theory, which lead to the constraint imposed on linear $\sigma$ model…

High Energy Physics - Theory · Physics 2007-05-23 Hanying Guo , Jianming Li , Ke Wu , 10 pages , Latex ASITP-93-67

A systematic construction for an action describing a class of supersymmetric integrable models as well as for pure fermionic theories is discussed in terms of the gauged WZNW model associated to twisted affine Kac-Moody algebras. Explicit…

High Energy Physics - Theory · Physics 2009-09-28 J. F. Gomes , D. M. Schmidtt , A. H. Zimerman

Two series of integrable theories are constructed which have soliton solutions and can be thought of as generalizations of the sine-Gordon theory. They exhibit internal symmetries and can be described as gauged WZW theories with a potential…

High Energy Physics - Theory · Physics 2009-10-30 C. R. Fernandez-Pousa , M. V. Gallas , T. J. Hollowood , J. L. Miramontes

We study two-dimensional integrable field theories from the viewpoint of the four-dimensional Chern-Simons-type gauge theory introduced recently. The integrable field theories are realized as effective theories for the four-dimensional…

High Energy Physics - Theory · Physics 2019-08-08 Kevin Costello , Masahito Yamazaki

We study global 1- and $(d-2)$-form symmetries for gauge theories based on disconnected gauge groups which include charge conjugation. For pure gauge theories, the 1-form symmetries are shown to be non-invertible. In addition, being the…

High Energy Physics - Theory · Physics 2023-05-10 Guillermo Arias-Tamargo , Diego Rodriguez-Gomez

We construct the Wess-Zumino-Witten (WZW) term in lattice gauge theory by using a Dirac operator which obeys the Ginsparg-Wilson relation. Topological properties of the WZW term known in the continuum are reproduced on the lattice as a…

High Energy Physics - Lattice · Physics 2009-11-10 Takanori Fujiwara , Kosuke Matsui , Hiroshi Suzuki , Masaru Yamamoto

A family of solvable self-dual Lie algebras that are not double extensions of Abelian algebras and, therefore, cannot be obtained through a Wigner contraction, is presented. We construct WZNW and gauged WZNW models based on the first two…

High Energy Physics - Theory · Physics 2009-10-28 Amit Giveon , Oskar Pelc , Eliezer Rabinovici

Strongly coupled gauge theories provide an ultra-violet realization of new physics models for physics beyond the Standard Model of particle physics arising from composite dynamics. Depending on the gauge group and matter content, they are…

High Energy Physics - Lattice · Physics 2024-10-31 Jong-Wan Lee

We formulate WZW models based on a centrally extended version of the Euclidean group in $d$-dimensions. We obtain string backgrounds corresponding to conformal $\s$-models in $D=d^2$ space-time dimensions with exact central charge $c=d^2$…

High Energy Physics - Theory · Physics 2015-06-26 Konstadinos Sfetsos

We consider four-dimensional non-Abelian gauge theory living on a complex projective space $\mathbb{CP}^2$ as a way of gaining insights into (3+1)-dimensional QCD. In particular, we use a complex parametrization of gauge fields on which…

High Energy Physics - Theory · Physics 2024-10-31 Antonina Maj

Recently, a gauge theory of unified gravity [Rep. Prog. Phys. 88, 057802 (2025)] has been developed to extend the Standard Model to include gravity. Here we present unified gravity using the ordinary four-vector and tensor field notation of…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Mikko Partanen , Jukka Tulkki

This thesis consists of two parts. In the first part we study some topics in $\mathcal{N}=1$ supersymmeric gauge theory and the relation to matrix models. We review the relevant non-perturbative techniques for computing effective…

High Energy Physics - Theory · Physics 2017-09-07 Min-xin Huang

Maximal and non-maximal supergravities in three spacetime dimensions allow for a large variety of semisimple and non-semisimple gauge groups, as well as complex gauge groups that have no analog in higher dimensions. In this contribution we…

High Energy Physics - Theory · Physics 2007-05-23 B. de Wit , H. Nicolai , H. Samtleben

We analyse the global symmetry structure of two-dimensional Non-Linear Sigma Models with Wess-Zumino term. When the target space has a compact isometry without fixed points, the theory has a pair of (group-like) global symmetries and many…

High Energy Physics - Theory · Physics 2026-01-29 Guillermo Arias-Tamargo , Maxwell L. Velásquez Cotini Hutt