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Related papers: Bosonic String in Affine-Metric Curved Space

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The rules for the free fermionic string model construction are extended to include general non-abelian orbifold constructions that go beyond the real fermionic approach. This generalization is also applied to the asymmetric orbifold rules…

High Energy Physics - Theory · Physics 2009-10-30 Zurab Kakushadze , Gary Shiu , S. -H. Henry Tye

We discuss the non-linear sigma model representing a NSR open string in a curved background with non-zero $B_{\mu\nu}$-field. With this coupling the theory is not automatically supersymmetric, due to boundary contributions. When B=0…

High Energy Physics - Theory · Physics 2009-10-31 Parviz Haggi-Mani , Ulf Lindstrom , Maxim Zabzine

The principles of a previously developed formalism for the covariant treatment of multi-scalar fields for which (as in a nonlinear sigma model) the relevant target space is not of affine type -- but curved -- are recapitulated. Their…

High Energy Physics - Theory · Physics 2010-04-06 Brandon Carter

We consider a simple model describing a closed bosonic string in a constant magnetic field. Exact conformal invariance demands also the presence of a non-trivial metric and antisymmetric tensor (induced by the magnetic field). The model is…

High Energy Physics - Theory · Physics 2009-09-17 J. G. Russo , A. A. Tseytlin

Antoniadis et al proposed a relation between the Omega-deformation and refined correlation functions of the topological string theory. We investigate the proposal for the deformed conifold geometry from a non-compact Gepner model approach.…

High Energy Physics - Theory · Physics 2010-08-02 Yu Nakayama

This paper describes the background field equations for strings in T-duality symmetric formalisms in which the dimension of target space is doubled and the sigma model supplemented with constraints. These are calculated by demanding the…

High Energy Physics - Theory · Physics 2008-11-26 David S. Berman , Neil B. Copland , Daniel C. Thompson

We study a two-dimensional bosonic field theory with a random defect line. The theory has a background field coupled to the field variables at the defect line, which renders the model non-integrable. However, as the background field is…

High Energy Physics - Theory · Physics 2007-05-23 M. Moriconi

Exploiting the theoretical potential of the modified Bonora-Tonin superfield approach (MBTSA) as well as the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism, we derive the complete set of off-shell…

High Energy Physics - Theory · Physics 2022-08-12 A. Tripathi , A. K. Rao , R. P. Malik

We calculate the one loop beta function for the would-be marginal coupling on the world sheet of the k deformed sigma models associated to a quantum group with q=exp(i pi/k). This includes the bosonic principal chiral models and symmetric…

High Energy Physics - Theory · Physics 2016-01-20 Calan Appadu , Timothy J. Hollowood

The evolution of a closed NSR string is considered in the background of constant graviton and antisymmetric fields. The $\sigma$-model action is written in a manifestly supersymmetric form in terms of superfields. The first order formalism…

High Energy Physics - Theory · Physics 2015-06-26 Ashok Das , Jnanadeva Maharana

We develop quantization techniques for describing the nonassociative geometry probed by closed strings in flat non-geometric R-flux backgrounds M. Starting from a suitable Courant sigma-model on an open membrane with target space M,…

High Energy Physics - Theory · Physics 2015-06-05 Dionysios Mylonas , Peter Schupp , Richard J. Szabo

We calculate the beta-functions for an open string sigma-model in the presence of a U(1) background. Passing to N=2 boundary superspace, in which the background is fully characterized by a scalar potential, significantly facilitates the…

High Energy Physics - Theory · Physics 2011-07-19 S. Nevens , A. Sevrin , W. Troost , A. Wijns

We extend our analysis of the gauging of rigid symmetries in bosonic two-dimensional sigma models with Wess-Zumino terms in the action to the case of world-sheets with defects. A structure that permits a non-anomalous coupling of such sigma…

High Energy Physics - Theory · Physics 2013-06-20 Krzysztof Gawedzki , Rafal R. Suszek , Konrad Waldorf

It was shown in [hep-th/0503009], in the context of bosonic theory that the IR singular terms that arise as a result of integrating out high momentum modes in nonplanar diagrams of noncommutative gauge theory can be recovered from low lying…

High Energy Physics - Theory · Physics 2010-02-03 S. Sarkar , B. Sathiapalan

The metrizability problem for a symmetric affine connection on a manifold, invariant with respect to a group of diffeomorphisms G, is considered. We say that the connection is G-metrizable, if it is expressible as the Levi-Civita connection…

Mathematical Physics · Physics 2012-02-28 Erico Tanaka , Demeter Krupka

We show that the one- and two-loop $\beta$-functions of the closed, bosonic string can be written in a manifestly O($D$,$D$)-covariant form. Based on this result, we prove that 1) Poisson-Lie symmetric $\sigma$-models are two-loop…

High Energy Physics - Theory · Physics 2021-11-10 Falk Hassler , Thomas B. Rochais

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

For a torsion-free affine connection on a given manifold, which does not necessarily arise as the Levi-Civita connection of any pseudo-Riemannian metric, it is still possible that it corresponds in a canonical way to a Finsler structure;…

Differential Geometry · Mathematics 2024-08-08 Nicoleta Voicu , Salah Gomaa Elgendi

By a mapping to the bosonic string theory, we present an exact solution to the O(26) sigma model coupled to 2-D quantum gravity. In particular, we obtain the exact gravitational dressing to the various matter operators classified by the…

High Energy Physics - Theory · Physics 2009-10-28 Weidong Zhao

Associated to any affine space A endowed with a metric structure of arbitrary signature we consider the space of affine functionals operating on the space of quadratic functions of A. On this functional space we characterize a symmetric…

Metric Geometry · Mathematics 2023-05-04 Ana Casimiro , Cesar Rodrigo