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Including {\it world-sheet orientation-reversing automorphisms} $\hat{h}_{\sigma} \in H_-$ in the orbifold program, we construct the operator algebras and twisted KZ systems of the general WZW {\it orientation orbifold} $A_g (H_-) /H_-$. We…

High Energy Physics - Theory · Physics 2014-11-18 M. B. Halpern , C. Helfgott

This is the first in a series of papers in which I investigate the orbifolds of permutation-type as candidates for {\it new physical string systems} at multiples of critical closed-string central charges. Examples include the bosonic…

High Energy Physics - Theory · Physics 2010-10-27 M. B. Halpern

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

We compute the integral cohomology of certain semi-direct products arising from a linear G-action on the n-torus, where G is a finite group. The main application is the complete calculation of torsion gerbes for certain six dimensional…

Algebraic Topology · Mathematics 2007-05-23 Alejandro Adem , Jianzhong Pan

We show that several WZW coset models can be obtained by applying O(d,d) symmetry transformations (referred to as twisting) on WZW models. This leads to a conjecture that WZW models gauged by U(1)^n subgroup can be obtained by twisting…

High Energy Physics - Theory · Physics 2016-09-06 David Gershon

We review some aspects of gauged WZW models. By choosing a nilpotent subgroup as gauge group, one is lead to three main applications: the construction of field theories with an extended conformal symmetry, the construction of the effective…

High Energy Physics - Theory · Physics 2007-05-23 A. Sevrin

Working directly on affine Lie groups, we construct several new formulations of the WZW model. In one formulation WZW is expressed as a one-dimensional mechanical system whose variables are coordinates on the affine Lie group. When written…

High Energy Physics - Theory · Physics 2015-06-26 K. Clubok , M. B. Halpern

The Wess-Zumino action for y deformed and generalized orientifold planes (yGOp-planes) is presented and one power expantion is realized from which processes that involves yGOp-planes, RR-forms, gravitons and gaugeons, are obtained. Finally…

High Energy Physics - Theory · Physics 2007-05-23 Juan Fernando Ospina Giraldo

We analyze unoriented Wess-Zumino-Witten models from a geometrical point of view. We show that the geometric interpretation of simple current crosscap states is as centre orientifold planes localized on conjugacy classes of the group…

High Energy Physics - Theory · Physics 2009-11-07 L. R. Huiszoon , K. Schalm , A. N. Schellekens

We develop a field-theoretical approach to determination of the background target space fields corresponding to general $G/H$ coset conformal theories described by gauged WZW models. The basic idea is to identify the effective action of a…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

With the goal to study and better understand algebraic Anosov actions of $\mathbb R^k$, we develop a higher codimensional analogue of the contact distribution on odd dimensional manifolds, call such structure a generalized $k$-contact…

Dynamical Systems · Mathematics 2019-10-31 U. N. Matos de Almeida

We complete the construction of a gauge-invariant action for NS-NS superstring field theory in the large Hilbert space begun in arXiv:1305.3893 by giving a closed-form expression for the action and nonlinear gauge transformations. The…

High Energy Physics - Theory · Physics 2018-07-17 Hiroaki Matsunaga

Recently the operator algebra, including the twisted affine primary fields, and a set of twisted KZ equations were given for the WZW permutation orbifolds. In the first part of this paper we extend this operator algebra to include the…

High Energy Physics - Theory · Physics 2014-11-18 M. B. Halpern , C. Helfgott

Let $G$ be a reductive group with Borel $B$ and Weyl group $W$. Then $B$-double cosets in $G$ are indexed by the Weyl group, say $O(w)$ for $w\in W$. Then we prove the minimal $B$-double coset in the convolution $O(w_1)*O(w_2)$ is…

Representation Theory · Mathematics 2025-03-26 Kenta Suzuki

Some remarks are made about free anomaly groups in gauged WZW models. Considering a quite general action, anomaly cancellation is analyzed. The possibility of gauging left and right sectors independently in some cases is remarked. In…

High Energy Physics - Theory · Physics 2007-05-23 Adrian R. Lugo

We introduce an orbifold induction procedure which provides a systematic construction of cyclic orbifolds, including their twisted sectors. The procedure gives counterparts in the orbifold theory of all the current-algebraic constructions…

High Energy Physics - Theory · Physics 2014-11-18 L. Borisov , M. B. Halpern , C. Schweigert

We study the occurrence of global gauge anomalies in the coset models of two-dimensional conformal field theory that are based on gauged WZW models. A complete classification of the non-anomalous theories for a wide family of gauged rigid…

Mathematical Physics · Physics 2014-07-14 Paul de Fromont , K. Gawȩdzki , Clément Tauber

One of the central concepts in modern theoretical physics, gauge symmetry, is typically realised by lifting a finite-dimensional global symmetry group of a given functional to an infinite-dimensional local one by extending the functional to…

High Energy Physics - Theory · Physics 2017-05-16 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke , Thomas Strobl

We formulate a 4-dimensional higher gauge theoretic Chern-Simons theory. Its symmetry is encoded in a semistrict Lie 2-algebra equipped with an invariant non singular bilinear form. We analyze the gauge invariance of the theory and show…

High Energy Physics - Theory · Physics 2015-06-19 Emanuele Soncini , Roberto Zucchini

We show that all W-gravity actions can be easilly constructed and understood from the point of view of the Hamiltonian formalism for the constrained systems. This formalism also gives a method of constructing gauge invariant actions for…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic