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We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the…

High Energy Physics - Theory · Physics 2009-09-25 Alan Kostelecky , Malcolm Perry

Primary fields of the $q$-deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on the primary fields are represented by the shift operator…

q-alg · Mathematics 2008-02-03 H. Awata , H. Kubo , Y. Morita , S. Odake , J. Shiraishi

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

We present analytical implementation of conformal field theory on a compact Riemann surface. We consider statistical fields constructed from background charge modifications of the Gaussian free field and derive Ward identities which…

Mathematical Physics · Physics 2018-03-13 Nam-Gyu Kang , Nikolai G. Makarov

We study a bosonic string with one end free and the other confined to a D-brane. Only the odd oscillator modes are allowed, which leads to a Virasoro algebra of even Virasoro modes only. The theory is quantized in a gauge where world-sheet…

High Energy Physics - Theory · Physics 2009-11-07 U. Gursoy , C. Saclioglu

The possible tensor constructions of open string theories are analyzed from first principles. To this end the algebraic framework of open string field theory is clarified, including the role of the homotopy associative A_\infty algebra, the…

High Energy Physics - Theory · Physics 2009-10-30 Matthias R. Gaberdiel , Barton Zwiebach

We formulate a string field theory for open $\mathcal{N}=2$ strings with an $A_{\infty}$ algebra structure. Starting from the BRST cohomology relative to the U(1) anti-ghost zero-mode, we generalize [arXiv:1312.2948] and constructed all…

High Energy Physics - Theory · Physics 2025-12-01 Xianghang Zhang

We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V. In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over…

Quantum Algebra · Mathematics 2010-03-30 Liang Kong

We develop a new background independent Moyal star formalism in bosonic open string field theory. The new star product is formulated in a half-phase-space, and because phase space is independent of any background fields, the interactions…

High Energy Physics - Theory · Physics 2014-07-22 Itzhak Bars , Dmitry Rychkov

We study the application of the rules of Thermo Field Dynamics (TFD) to the covariant formulation of Open String Field Theory (OSFT). We extend the states space and fields according to the duplication rules of TFD and construct the…

High Energy Physics - Theory · Physics 2016-03-23 M. Botta Cantcheff , R. J. Scherer Santos

We derive the kinematic numerator factors for heavy-mass effective field theory from the field theory limit of the string theory vertex operator kinematic algebra introduced in arXiv:1806.09584. The kinematic numerators are derived as…

High Energy Physics - Theory · Physics 2025-05-21 Chih-Hao Fu , Pierre Vanhove , Yihong Wang

We analyze exact conformal invariance of string worldsheet theory in non-trivial backgrounds using hamiltonian framework. In the first part of this talk we consider the example of type IIB superstrings in Ramond-Ramond pp-wave background.…

High Energy Physics - Theory · Physics 2010-04-01 Partha Mukhopadhyay

Closed string diagrams are derived from cubic open string field theory using a gauge fixed kinetic operator. The basic idea is to use a string propagator that does not generate a boundary to the world sheet. Using this propagator and the…

High Energy Physics - Theory · Physics 2009-11-07 Nadav Drukker

We determine a consistent phase space for a theory consisting in the Einstein-Hilbert action coupled to matter fields (dilaton, one-form, two-form) and containing three-dimensional black strings (the Horne-Horowitz solution and…

High Energy Physics - Theory · Physics 2022-10-12 Stéphane Detournay , P. Marios Petropoulos , Céline Zwikel

We demonstrate that a supersymmetric theory twisted on a K\"ahler four manifold $M=\Sigma_1 \times \Sigma_2 ,$ where $\Sigma_{1,2}$ are 2D Riemann surfaces, possesses a "left-moving" conformal stress tensor on $\Sigma_1$ ($\Sigma_2$) in the…

High Energy Physics - Theory · Physics 2009-10-28 Andrei Johansen

We construct the quantum versions of the monodromy matrices of KdV theory. The traces of these quantum monodromy matrices, which will be called as ``${\bf T}$-operators'', act in highest weight Virasoro modules. The ${\bf T}$-operators…

High Energy Physics - Theory · Physics 2011-02-11 V. Bazhanov , S. Lukyanov , A. Zamolodchikov

We consider a field theoretical model on the noncommutative cylinder which leads to a discrete-time evolution. Its Euclidean version is shown to be equivalent to a model on the complex $q$-plane. We reveal a direct link between the model on…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , A. Demichev , P. Presnajder

Recently a construction was given for the stress tensors of all sectors of the general current-algebraic orbifold A(H)/H, where A(H) is any current-algebraic conformal field theory with a finite symmetry group H. Here we extend and further…

High Energy Physics - Theory · Physics 2015-06-25 M. B. Halpern , J. E. Wang

Using the level truncation method, we construct numerical solutions, which are twist even and SU(1,1) singlet, in the theory around the Takahashi-Tanimoto identity-based solution (TT solution) with a real parameter $a$ in the framework of…

High Energy Physics - Theory · Physics 2021-03-17 Isao Kishimoto , Tomohiko Takahashi

Neural Network Field Theories (NN-FTs) typically describe Generalized Free Fields that lack a local stress-energy tensor in two dimensions, obstructing the realization of Virasoro symmetry. We present the ``Log-Kernel'' (LK) architecture,…

High Energy Physics - Theory · Physics 2026-04-03 Brandon Robinson
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