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We analyse completely the BRST cohomology on local functionals for two dimensional sigma models coupled to abelian world sheet gauge fields, including effective bosonic D-string models described by Born-Infeld actions. In particular we…

High Energy Physics - Theory · Physics 2009-10-30 Friedemann Brandt , Joaquim Gomis , Joan Simón

I discuss the relation of Hochschild cohomology to the physical states in the closed topological string. This allows a notion of deformation intrinsic to the derived category. I use this to identify deformations of a quiver gauge theory…

High Energy Physics - Theory · Physics 2009-12-07 Aaron Bergman

We investigate analytic classical solutions in open string field theory which are constructed in terms of marginal operators. In the classical background, we evaluate a coupling between an on-shell closed string state and the open string…

High Energy Physics - Theory · Physics 2008-11-26 F. Katsumata , T. Takahashi , S. Zeze

We study relation between the gauge invariant quantity obtained in [arXiv:1908.09784] and the Feynman diagrams in the dressed $ \mathcal B_0 $ gauge in the open cubic string field theory. We derive a set of recurrence relations that hold…

High Energy Physics - Theory · Physics 2021-05-26 Toru Masuda , Hiroaki Matsunaga , Toshifumi Noumi

Three dimensional topological field theories associated with the three dimensional version of Abelian and non-Abelian Seiberg-Witten monopoles are presented. These three dimensional monopole equations are obtained by a dimensional reduction…

High Energy Physics - Theory · Physics 2008-02-03 Yűji Ohta

This paper explains the conjectured algebraic duality between genus zero Gromov-Witten theory and genus zero "Closed String topology". This duality in another perspective is discussed on page 87 of the book "Frobenius manifold, quantum…

Geometric Topology · Mathematics 2007-05-23 Moira Chas , Dennis Sullivan

We develop a global cohomology theory for number fields by offering topological cohomology groups, an arithmetical duality, a Riemann-Roch type theorem, and two types of vanishing theorem. As applications, we study moduli spaces of…

Algebraic Geometry · Mathematics 2011-02-24 Lin Weng

In this note we show that abstract planar algebras are algebras over the topological operad of moduli spaces of stable maps with Lagrangian boundary conditions, which in the case of the projective line are described in terms of real…

Quantum Algebra · Mathematics 2014-11-20 Ozgur Ceyhan , Matilde Marcolli

We review the BV formalism in the context of $0$-dimensional gauge theories. For a gauge theory $(X_{0}, S_{0})$ with an affine configuration space $X_{0}$, we describe an algorithm to construct a corresponding extended theory $(\tilde{X},…

Mathematical Physics · Physics 2019-09-12 Roberta A. Iseppi

We identify spacetime symmetry charges of 26D open bosonic string theory from an infinite number of zero-norm states (ZNS) with arbitrary high spin in the old covariant first quantized string spectrum. We give various evidences to support…

High Energy Physics - Theory · Physics 2009-11-11 Chuan-Tsung Chan , Pei-Ming Ho , Jen-Chi Lee , Shunsuke Teraguchi , Yi-Yang

We consider gauge/gravity correspondence between maximally supersymmetric Yang-Mills theory in ($p+1$) dimensions and superstring theory on the near-horizon limit of the D$p$-brane solution. The string-frame metric is AdS$_{p+1}\times…

High Energy Physics - Theory · Physics 2022-04-27 Tomotaka Kitamura , Shoichiro Miyashita , Yasuhiro Sekino

The homology of a 2-colored dioperad of decorated Riemann surfaces, relevant to open-closed string field theory, is computed. The structure it describes is realized in an open-closed setting of string topology via an action at the level of…

Algebraic Topology · Mathematics 2009-09-29 Eric Harrelson

Given a two-dimensional quantum field theory with (0,2) supersymmetry, one can construct a chiral (or vertex) algebra. The chiral algebra of a (0,2) supersymmetric sigma model is, perturbatively, the cohomology of a sheaf of chiral…

High Energy Physics - Theory · Physics 2012-07-24 Junya Yagi

String theory on AdS3 backgrounds arises as an IR limit of Little String Theory on NS5-branes. A wide variety of holographic RG flows from the fivebrane theory in the UV to (orbifolds of) AdS3 in the IR is amenable to exact treatment in…

High Energy Physics - Theory · Physics 2020-06-09 Emil J. Martinec , Stefano Massai

We prove that all open string theory disc amplitudes in a flat background obey Britto-Cachazo-Feng-Witten (BCFW) on-shell recursion relations, up to a possible reality condition on a kinematic invariant. Arguments that the same holds for…

High Energy Physics - Theory · Physics 2010-12-01 Rutger H. Boels , Daniele Marmiroli , Niels A. Obers

String theory dynamics on certain fivebrane supertube backgrounds is described by an exactly solvable null-gauged WZW model. We use this description to compute the spectrum of closed string excitations on the three-charge non-supersymmetric…

High Energy Physics - Theory · Physics 2022-03-11 Emil J. Martinec , Stefano Massai , David Turton

In this paper we study the topology of the cobordism category of open and closed strings. This is a 2-category in which the objects are compact one-manifolds whose boundary components are labeled by an indexing set (the set of "D-branes"),…

Algebraic Topology · Mathematics 2007-05-23 Nils A. Baas , Ralph L. Cohen , Antonio Ramirez

In this paper, we consider real and complex algebras as well as algebras over general fields. In Section 2, we revisit and prove several results on (quadratic) algebras over general fields. As an example, we demonstrate that a quadratic…

Rings and Algebras · Mathematics 2025-03-28 Bamdad R. Yahaghi

Few vacua are known for the three tachyon-free non-supersymmetric string theories. We find new classes of AdS backgrounds by focusing on spaces where the equations of motion reduce to purely algebraic conditions. Our first examples involve…

High Energy Physics - Theory · Physics 2025-12-16 Salvatore Raucci , Alessandro Tomasiello

The 't Hooft expansion of SU(N) Chern-Simons theory on $S^3$ is proposed to be exactly dual to the topological closed string theory on the $S^2$ blow up of the conifold geometry. The $B$-field on the $S^2$ has magnitude $Ng_s=\lambda$, the…

High Energy Physics - Theory · Physics 2007-05-23 Rajesh Gopakumar , Cumrun Vafa
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