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Related papers: On the Open-Closed B-Model

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In this paper, which is the last of a series of three, we first verify that the two open-closed effective potentials derived in the previous paper from the WZW theory in the large Hilbert space and the $A_\infty$ theory in the small Hilbert…

High Energy Physics - Theory · Physics 2021-09-29 Carlo Maccaferri , Jakub Vošmera

We reformulate the algebraic structure of Zwiebach's quantum open-closed string field theory in terms of homotopy algebras. We call it the quantum open-closed homotopy algebra (QOCHA) which is the generalization of the open-closed homotopy…

High Energy Physics - Theory · Physics 2015-05-30 Korbinian Muenster , Ivo Sachs

Motivated by the descent equation in string theory, we give a new interpretation for the action of the symmetry charges on the BRST cohomology in terms of what we call {\em the Gerstenhaber bracket}. This bracket is compatible with the…

High Energy Physics - Theory · Physics 2009-10-22 Bong H. Lian , Gregg J. Zuckerman

In this text we review various relations between building blocks of closed and open string amplitudes at tree-level and genus one. We explain that KLT relations between tree-level closed and open string amplitudes follow from the…

High Energy Physics - Theory · Physics 2021-01-22 Pierre Vanhove , Federico Zerbini

The most general gauge-invariant marginal deformation of four-dimensional abelian BF-type topological field theory is studied. It is shown that the deformed quantum field theory is topological and that its observables compute, in addition…

High Energy Physics - Theory · Physics 2011-07-21 Richard J. Szabo

String theory on D-brane backgrounds is open-closed string theory. Given the relevance of this fact, we give details and elaborate upon our earlier construction of oriented open-closed string field theory. In order to incorporate explicitly…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

There are various reasons why adding stubs to the vertices of open string field theory (OSFT) is interesting: Not only the stubs can tame certain singularities and make the theory more well-behaved, but also the new theory shares a lot of…

High Energy Physics - Theory · Physics 2024-10-22 Martin Schnabl , Georg Stettinger

This is the first of a series of three papers on open string field theories based on Witten star product deformed with a gauge invariant open/closed coupling. This deformation is a tree-level tadpole which destabilizes the initial…

High Energy Physics - Theory · Physics 2021-09-29 Carlo Maccaferri , Jakub Vošmera

We give a worldsheet proof of the equivalence between the U(N) Chern-Simons gauge theory on S^3 and the topological closed string theory on the resolved conifold geometry. When the `t Hooft coupling of the gauge theory is small, the dual…

High Energy Physics - Theory · Physics 2008-11-26 Hirosi Ooguri , Cumrun Vafa

We define a coalgebra structure for open strings transverse to any framed codimension 2 submanifold. When the submanifold is a knot in R^3, we show this structure recovers a specialization of the Ng cord algebra, a non-trivial knot…

Geometric Topology · Mathematics 2015-12-29 Somnath Basu , Jason McGibbon , Dennis Sullivan , Michael Sullivan

We consider the gauge algebra of closed string field theory with a focus on diffeomorphisms. This algebra contains off-shell information in two ways. The first way is geometric, through the choice of three-punctured sphere defining the…

High Energy Physics - Theory · Physics 2025-06-16 Raji Ashenafi Mamade , Barton Zwiebach

This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration spaces (one of Fred's specialities) of Riemann surfaces,…

High Energy Physics - Theory · Physics 2009-04-05 Hiroshige Kajiura , Jim Stasheff

We propose a formalism inspired by matrix models to compute open and closed topological string amplitudes in the B-model on toric Calabi-Yau manifolds. We find closed expressions for various open string amplitudes beyond the disk, and in…

High Energy Physics - Theory · Physics 2008-11-26 Marcos Marino

We prove that every open-closed homotopy algebra, introduced by Kajiura and Stasheff (arXiv: archive/0410291), naturally gives rise to an open-closed version of Hochschild cochain complex whose cohomology admits a canonical Gerstenhaber…

Quantum Algebra · Mathematics 2024-10-29 Hang Yuan

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

We generalize the worldsheet derivation of the topological open/closed string duality given in hep-th/0205297 to cases when there are different types of D branes on the open string side. We use the mirror Landau-Ginzburg description to…

High Energy Physics - Theory · Physics 2009-09-17 Takuya Okuda , Hirosi Ooguri

We study topological strings on local toric del Pezzo surfaces by a method called remodeling the B-model which was recently proposed by Bouchard, Klemm, Marino and Pasquetti. For a large class of local toric del Pezzo surfaces we prove a…

High Energy Physics - Theory · Physics 2015-05-13 Masahide Manabe

This thesis is based on some selected topics in open topological string theory which I have worked on during my Ph.D. It comprises an introductory part where I have focused on the points most needed for the later chapters, trading…

High Energy Physics - Theory · Physics 2010-10-19 Andrea Prudenziati

The role of double space is essential in new interpretation of T-duality and consequently in an attempt to construct M-theory. The case of open string is missing in such approach because until now there have been no appropriate formulation…

High Energy Physics - Theory · Physics 2018-02-08 B. Sazdović

Witten couples the open topological B-model to a holomorphic vector bundle by adding to the boundary of the worldsheet a Wilson loop for an integrable connection on the bundle. Using the descent procedure for boundary vertex operators in…

High Energy Physics - Theory · Physics 2010-09-08 Aaron Bergman