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A new orientifold of Type-IIB theory on $K3$ is constructed that has $N=1$ supersymmetry in six dimensions. The orientifold symmetry consists of a $Z_2$ involution of $K3$ combined with orientation-reversal on the worldsheet. The…

High Energy Physics - Theory · Physics 2009-10-30 Atish Dabholkar , Jaemo Park

We consider an open string version of the topological twist previously proposed for sigma-models with G2 target spaces. We determine the cohomology of open strings states and relate these to geometric deformations of calibrated submanifolds…

High Energy Physics - Theory · Physics 2008-11-26 Jan de Boer , Paul de Medeiros , Sheer El-Showk , Annamaria Sinkovics

In a recent paper we have proposed the possibility that the lightest massive string states could be identified with open strings living at intersections of D-branes forming small angles. In this note, we reconsider the relevant twist-field…

High Energy Physics - Theory · Physics 2011-10-26 Pascal Anastasopoulos , Massimo Bianchi , Robert Richter

We describe a non-perturbative quantization of classical Wilson loops in the WZW model. The quantized Wilson loop is an operator acting on the Hilbert space of closed strings and commuting either with the full Kac-Moody chiral algebra or…

High Energy Physics - Theory · Physics 2008-11-26 Anton Alekseev , Samuel Monnier

We describe a new class of supersymmetric orientifolds which combine the world-sheet parity transformation with a complex conjugation in the compact directions. As an example, we investigate in detail the orientifold of the Z_3 toroidal…

High Energy Physics - Theory · Physics 2009-09-25 Ralph Blumenhagen , Lars Goerlich , Boris Kors

This thesis investigates correspondences between open and closed strings. This is done on the level of coupled open-closed moduli spaces and from a string field theoretic point of view. The construction of boundary string field theory on…

High Energy Physics - Theory · Physics 2008-12-15 Marco Baumgartl

Conical defects of the form $(AdS_3\times S^3)/Z_k$ have an exact orbifold description in worldsheet string theory, which we derive from their known presentation as gauged Wess-Zumino-Witten models. The configuration of strings and…

High Energy Physics - Theory · Physics 2023-08-08 Emil J. Martinec

We find new duality transformations which allow us to construct the stress tensors of all the twisted sectors of any orbifold A(H)/H, where A(H) is the set of all current-algebraic conformal field theories with a finite symmetry group H…

High Energy Physics - Theory · Physics 2008-11-26 J. de Boer , J. Evslin , M. B. Halpern , J. E. Wang

Misner space, also known as the Lorentzian orbifold $R^{1,1}/boost$, is the simplest tree-level solution of string theory with a cosmological singularity. We compute tree-level scattering amplitudes involving twisted states, using operator…

High Energy Physics - Theory · Physics 2014-11-18 M. Berkooz , B. Durin , B. Pioline , D. Reichmann

In this paper, we introduce a notion of twisted restricted conformal blocks on totally ramified orbicurves and establish an isomorphism between the space of twisted restricted conformal blocks and the space of twisted conformal blocks. The…

Algebraic Geometry · Mathematics 2024-04-02 Xu Gao , Jianqi Liu , Yiyi Zhu

Let $Z \subset \mathbb{A}^k$ be an affine scheme over $\C$ and $\J Z$ its jet scheme. It is well-known that $\mathbb{C}[\J Z]$, the coordinate ring of $\J Z$, has the structure of a commutative vertex algebra. This paper develops the…

Quantum Algebra · Mathematics 2016-07-04 Matthew Szczesny

We consider an open-string realisation of $\mathcal{N}=2\to \mathcal{N}=0$ spontaneous breaking of supersymmetry in four-dimensional Minkowski spacetime. It is based on type IIB orientifold theory compactified on $T^2\times…

High Energy Physics - Theory · Physics 2024-05-07 Steven Abel , Thibaut Coudarchet , Hervé Partouche

The G/G WZW model results from the WZW-model by a standard procedure of gauging. G/G WZW models are members of Dirac sigma models, which also contain twisted Poisson sigma models as other examples. We show how the general class of Dirac…

Mathematical Physics · Physics 2013-11-28 Vladimir Salnikov , Thomas Strobl

We show agreements, at one-loop level of field theory, between energies of semiclassical string states on AdS_5 x S^5/Z_M and anomalous dimensions of operators in N=0,1,2 orbifold field theories originating from N=4 SYM. On field theory…

High Energy Physics - Theory · Physics 2008-11-26 Kota Ideguchi

It is shown that the twisted sector spectrum, as well as the associated Chern-Simons interactions, can be determined on M-theory orbifold fixed planes that do not admit gravitational anomalies. This is demonstrated for the seven-planes…

High Energy Physics - Theory · Physics 2009-10-07 M. Faux , D. Lust , B. A. Ovrut

Working over an algebraically closed field of characteristic p > 3, we calculate the orbit closures in the Witt algebra W under the action of its automorphism group G. We also outline how the same techniques can be used to determine…

Representation Theory · Mathematics 2014-01-28 Martin Mygind

It has been shown recently that extended supersymmetry in twisted first-order sigma models is related to twisted generalized complex geometry in the target. In the general case there are additional algebraic and differential conditions…

High Energy Physics - Theory · Physics 2010-07-07 Ivan Calvo

We undertake a systematic analysis of non-geometric backgrounds in string theory by seeking stringy liftings of a class of gauged supergravity theories. In addition to conventional flux compactifications and non-geometric T-folds with…

High Energy Physics - Theory · Physics 2010-02-03 Atish Dabholkar , Chris Hull

Let G denote a group and let W be an algebra over a commutative ring R. We will say that W is a G-graded twisted algebra (not necessarily commutative, neither associative) if there exists a G-grading W=\bigoplus_{g \in G}W_{g} where each…

Rings and Algebras · Mathematics 2013-01-25 Juan D. Velez , Luis A. Wills , Natalia Agudelo

Examples of non-trivial higher string topology operations have been regrettably rare in the literature. In this paper, working in the context of string topology of classifying spaces, we provide explicit calculations of a wealth of…

Algebraic Topology · Mathematics 2017-10-18 Anssi Lahtinen