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We construct a class of analytic solutions of WZW-type open superstring field theory describing marginal deformations of a reference D-brane background. The deformations we consider are generated by on-shell vertex operators with vanishing…

High Energy Physics - Theory · Physics 2009-04-17 Theodore Erler

In this paper, we prove the categories of lower bounded twisted modules of positive integer levels for simple vertex operator algebras associated with affine Lie algebras and general automorphisms are semisimple, using the twisted…

Quantum Algebra · Mathematics 2016-10-26 Jinwei Yang

We use the remodeling approach to the B-model topological string in terms of recursion relations to study open string amplitudes at orbifold points. To this end, we clarify modular properties of the open amplitudes and rewrite them in a…

High Energy Physics - Theory · Physics 2010-04-30 Vincent Bouchard , Albrecht Klemm , Marcos Marino , Sara Pasquetti

We study a special sort of 2-dimensional extended Topological Quantum Field Theories (TQFTs) which we call open-closed TQFTs. These are defined on open-closed cobordisms by which we mean smooth compact oriented 2-manifolds with corners that…

Algebraic Topology · Mathematics 2008-02-22 Aaron D. Lauda , Hendryk Pfeiffer

We investigate the relation between N=(2,2) superconformal Lie group WZNW models and Lie supergroup WZNW models. The B-twist of an exactly marginal perturbation of the world-sheet superconformal sigma model is the supergroup model.…

High Energy Physics - Theory · Physics 2010-11-11 Thomas Creutzig , Peter B. Ronne

We review orientifold constructions in the presence of magnetic backgrounds both in the open and closed sectors. Generically, the resulting orientifold models have a nice geometric description in terms of rotated D-branes and/or O-planes.…

High Energy Physics - Theory · Physics 2009-11-07 C. Angelantonj

We study open and unoriented strings in a Topological Membrane (TM) theory through orbifolds of the bulk 3D space. This is achieved by gauging discrete symmetries of the theory. Open and unoriented strings can be obtained from all possible…

High Energy Physics - Theory · Physics 2014-11-18 P. Castelo Ferreira , Ian I. Kogan

We propose a geometrical interpretation for the discrete torsion appearing in the algebraic formulation of quotients of WZW models by discrete abelian subgroups. Part of the discrete torsion corresponds to the choice of action of the…

High Energy Physics - Theory · Physics 2009-11-10 Pedro Bordalo

This is the second in a series of papers which consider the orbifolds of permutation-type as candidates for new physical string systems at higher central charge. In the first paper, I worked out the extended actions of the twisted sectors…

High Energy Physics - Theory · Physics 2008-11-26 M. B. Halpern

We review some of the recent developments in the construction of $W$-string theories. These are generalisations of ordinary strings in which the two-dimensional ``worldsheet'' theory, instead of being a gauging of the Virasoro algebra, is a…

High Energy Physics - Theory · Physics 2007-05-23 C. N. Pope

We study the dynamics of type I strings on Melvin backgrounds, with a single or multiple twisted two-planes. We construct two inequivalent types of orientifold models that correspond to (non-compact) irrational versions of Scherk-Schwarz…

High Energy Physics - Theory · Physics 2009-11-07 C. Angelantonj , E. Dudas , J. Mourad

We reconsider the role that bundle gerbes play in the formulation of the WZW model on closed and open surfaces. In particular, we show how an analysis of bundle gerbes on groups covered by SU(N) permits to determine the spectrum of…

High Energy Physics - Theory · Physics 2009-11-07 Krzysztof Gawedzki , Nuno Reis

We introduce the notion of a twisted differential operator of given radius relative to an endomorphism $$\sigma$$ of an affinoid algebra A. We show that this notion is essentially independent of the choice of the endomorphism $$\sigma$$. As…

Algebraic Geometry · Mathematics 2020-02-12 Bernard Le Stum , Adolfo Quirós

We revisit T-duality transformations for the open string via Buscher's procedure and work-out technical details which have been missing so far in the literature. We take into account non-trivial topologies of the world-sheet, we consider…

High Energy Physics - Theory · Physics 2018-09-26 Fabrizio Cordonier-Tello , Dieter Lust , Erik Plauschinn

We introduce new concepts in order to develop a general formalism for twisted differential operators in several variables. We investigate the notion of twisted coordinates on Huber rings that allows us to build various rings of twisted…

Algebraic Geometry · Mathematics 2024-10-11 Pierre Houédry

In this letter a new class of twisted strings is presented, with an asymmetry between the holomorphic and antiholomorphic sectors parametrized by an integer $N$. Their physical content is given by the massless resonances of the closed…

High Energy Physics - Theory · Physics 2022-04-13 Renann Lipinski Jusinskas

We study symmetries between untwisted and twisted strings on asymmetric orbifolds. We present a list of asymmetric orbifold models to possess intertwining currents which convert untwisted string states to twisted ones, and vice versa. We…

High Energy Physics - Theory · Physics 2009-10-22 Y. Imamura , M. Sakamoto , T. Sasada , M. Tabuse

We develop a mathematical framework for the computation of open orbifold Gromov-Witten invariants of [C^3/Z_n], and provide extensive checks with predictions from open string mirror symmetry. To this aim we set up a computation of open…

Algebraic Geometry · Mathematics 2011-06-14 Andrea Brini , Renzo Cavalieri

We study open descendants of four dimensional Z_N x Z_M orbifolds of the non-supersymmetric type 0B string theory. An exhaustive analysis shows, that using the crosscap constraint the only model for which one can project out the tachyon is…

High Energy Physics - Theory · Physics 2009-10-31 K. Foerger

A two-dimensional topological sigma-model on a generalized Calabi-Yau target space $X$ is defined. The model is constructed in Batalin-Vilkovisky formalism using only a generalized complex structure $J$ and a pure spinor $\rho$ on $X$. In…

High Energy Physics - Theory · Physics 2008-11-26 Vasily Pestun