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In the present article, we study the local features of the world-sheet in the case when probe bosonic string moves in antisymmetric background field. We generalize the geometry of surfaces embedded in space-time to the case when the torsion…

High Energy Physics - Theory · Physics 2009-11-11 Branislav Sazdovic

$N=2$ string theories are formulated in space-times with 2 space and 2 time dimensions. If the world-sheet matter system consists of 2 chiral superfields, the space-time is Kahler and the dynamics are those of anti-self-dual gravity. If…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Hull

We study the underlying gauge symmetry algebra of the $N=2$ string, which is broken down to a subalgebra in any spacetime background. For given toroidal backgrounds, the unbroken gauge symmetries (corresponding to holomorphic and…

High Energy Physics - Theory · Physics 2010-11-01 Amit Giveon , Alfred Shapere

We discuss an explicit construction of a string dual for the Gaussian matrix model. Starting from the matrix model and employing Strebel differential techniques we deduce hints about the structure of the dual string. Next, following these…

High Energy Physics - Theory · Physics 2010-03-19 Shlomo S. Razamat

We present a minimal and dynamically consistent formulation of non-relativistic bosonic string theory in a Newton-Cartan (NC) background. Starting from a reparametrization-invariant Nambu-Goto action, we develop the Hamiltonian framework…

High Energy Physics - Theory · Physics 2025-09-05 Partha Nandi , Sk. Moinuddin , Abdus Sattar

A review of the applications of noncommutative geometry to a systematic formulation of duality symmetries in string theory is presented. The spectral triples associated with a lattice vertex operator algebra and the corresponding…

High Energy Physics - Theory · Physics 2007-05-23 Fedele Lizzi , Richard J. Szabo

We study D-branes with plane waves of arbitrary profiles as examples of time-dependent backgrounds in string theory. We show how to reproduce the quantum mechanical (one-to-one) open-string S-matrix starting from the closed-string boundary…

High Energy Physics - Theory · Physics 2009-11-10 Constantin P. Bachas , Matthias R. Gaberdiel

The nonrelativistic bosonic string theory in a curved manifold is formulated here using gauging of symmetry approach ( Galilean Gauge theory ) . The corresponding model in flat space has some global symmetries . By localizing these…

High Energy Physics - Theory · Physics 2022-12-27 Sk. Moinuddin , Pradip Mukherjee

The model of the bosonic string with the noncommutative world-sheet geometry is proposed in the framework of Fedosov's deformation quantization. The re-interpretation of the model in terms of bosonic string coupled to infinite multiplet of…

High Energy Physics - Theory · Physics 2009-11-07 I. V. Gorbunov , A. A. Sharapov

We give a brief introduction to the study of the algebraic structures -- and their geometrical interpretations -- which arise in the BRST construction of a conformal string background. Starting from the chiral algebra $\cA$ of a string…

High Energy Physics - Theory · Physics 2007-05-23 Bong H. Lian , Gregg J. Zuckerman

We explore nonrelativistic (NR) pulsating string configurations over torsion Newton-Cartan (TNC) geometry having topology $ R \times S^2 $ and check the corresponding analytic integrability criteria following Kovacic's algorithm. In the…

High Energy Physics - Theory · Physics 2019-09-04 Dibakar Roychowdhury

Asymmetric heterotic orbifolds are discussed from the worldsheet perspective. Starting from Buscher's gauging of a theory of D compact bosons the duality covariant description of Tseytlin is obtained after a non-Lorentz invariant gauge…

High Energy Physics - Theory · Physics 2021-09-14 Stefan Groot Nibbelink

In this paper we investigate compactifications of the type II and heterotic string on four-dimensional spaces with nongeometric monodromies. We explicitly construct backgrounds which contain the "Duality Twists" discussed by Dabholkar and…

High Energy Physics - Theory · Physics 2014-11-18 Alex Flournoy , Brian Wecht , Brook Williams

The dual of the four dimensional non-linear sigma model is constructed using techniques familiar to string theory. This construction necessitates the introduction of a rank two antisymmetric tensor field whose properties are examined. The…

High Energy Physics - Theory · Physics 2007-05-23 N. Mohammedi , R. T. Moss , R. D. Simmons

Non-commutative torsors (equivalently, two-cocycles) for a Hopf algebra can be used to twist comodule algebras. After surveying and extending the literature on the subject, we prove a theorem that affords a presentation by generators and…

Quantum Algebra · Mathematics 2013-01-17 Pierre Guillot , Christian Kassel , Akira Masuoka

We outline a brief description of non commutative geometry and present some applications in string theory. We use the fuzzy torus as our guiding example.

High Energy Physics - Theory · Physics 2009-11-10 Daniela Bigatti

We study dynamical effects of introducing noncommutativity on string worldsheets by using a matrix model obtained from the zero-volume limit of four-dimensional SU($N$) Yang-Mills theory. Although the dimensionless noncommutativity…

High Energy Physics - Theory · Physics 2010-02-03 K. N. Anagnostopoulos , J. Nishimura , P. Olesen

We study duality and local symmetries of closed bosonic string from the perspectives of worldsheet approach in the phase space path integral formalism. It is shown that the Ward identities reflecting the local symmetries associated with…

High Energy Physics - Theory · Physics 2011-01-20 Jnanadeva Maharana

We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological B-model on a Calabi-Yau five-fold. We provide…

High Energy Physics - Theory · Physics 2021-10-28 Kevin Costello , Brian R. Williams

We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the $O(d) \otimes O(d)$ transformation on the vacuum solutions gives inequivalent…

High Energy Physics - Theory · Physics 2009-10-31 Debashis Gangopadhyay , Soumitra Sengupta
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