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We construct open-closed superstring interactions based on the open-closed homotopy algebra structure. It provides a classical open superstring field theory on general closed-superstring-field backgrounds described by classical solutions of…

High Energy Physics - Theory · Physics 2022-08-29 Hiroshi Kunitomo

We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the notions of vertex algebra and of…

Quantum Algebra · Mathematics 2009-11-10 Yi-Zhi Huang , Liang Kong

Open-string theories may be related to suitable models of oriented closed strings. The resulting construction of ``open descendants'' is illustrated in a few simple cases that exhibit some of its key features.

High Energy Physics - Theory · Physics 2007-05-23 Augusto Sagnotti

We give a non-perturbative completion of a class of closed topological string theories in terms of building blocks of dual open strings. In the specific case where the open string is given by a matrix model these blocks correspond to a…

High Energy Physics - Theory · Physics 2011-09-09 Miranda C. N. Cheng , Robbert Dijkgraaf , Cumrun Vafa

We construct analytic solutions of open superstring field theory for any exactly marginal deformation in any boundary superconformal field theory when properly renormalized operator products of the marginal operator are given. Our…

High Energy Physics - Theory · Physics 2009-11-18 Michael Kiermaier , Yuji Okawa

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 show that the proper interpretation of the cocycle operators appearing in the physical vertex operators of compactified strings is that the closed string target is non-commutative. We track down the appearance of this non-commutativity…

High Energy Physics - Theory · Physics 2017-10-06 Laurent Freidel , Robert G. Leigh , Djordje Minic

We show that closed string states in bosonic string field theory are encoded in the cyclic cohomology of cubic open string field theory (OSFT) which, in turn, classifies the deformations of OSFT. This cohomology is then shown to be…

High Energy Physics - Theory · Physics 2011-07-21 Nicolas Moeller , Ivo Sachs

String vertices of open-closed string field theory on an arbitrary closed string background with $N$ identical D-branes are investigated when $N$ is large. We identify the relevant geometric master equation and solve it using open-closed…

High Energy Physics - Theory · Physics 2024-02-28 Atakan Hilmi Fırat

We derive loop equations in a scalar matrix field theory. We discuss their solutions in terms of simplicial string theory -- the theory describing embeddings of two--dimensional simplicial complexes into the space--time of the matrix field…

High Energy Physics - Theory · Physics 2009-11-11 Emil T. Akhmedov

I give an overview of open, closed and heterotic N=2 strings. At the tree level I derive the effective field theories of all the strings, and discuss the group theory of the N=2 open string and the interaction between its open and closed…

High Energy Physics - Theory · Physics 2008-02-03 Neil Marcus

This paper investigates the relationships between closed and mixed string amplitudes at the tree level in string theory. Through the analytic continuation of complex variables, we establish a factorization of closed string amplitudes into…

High Energy Physics - Theory · Physics 2024-02-09 Aphiwat Yuenyong , Pongwit Srisangyingcharoen

We study the non-critical string field theory with non-orientable string interactions by using the transfer matrix formalism in the dynamical triangulation. For any value of $c$ (total central charge of matter), we have constructed the…

High Energy Physics - Theory · Physics 2009-10-28 Yoshiyuki Watabiki

We propose a new type of interaction of closed superstrings with the electromagnetic field, other than the usual Kaluza-Klein type or a gauge field with internal gauge group origin. This model with a constant magnetic field is also shown to…

High Energy Physics - Theory · Physics 2010-02-09 Akira Kokado , Gaku Konisi , Takesi Saito

We verify that certain algebras appearing in string field theory are algebras over Feynman transform of modular operads which we describe explicitly. Equivalent description in terms of solutions of generalized BV master equations are…

Algebraic Topology · Mathematics 2015-10-02 Martin Doubek , Branislav Jurco , Korbinian Muenster

Restriction is a natural quasi-order on $d$-way tensors. We establish a remarkable aspect of this quasi-order in the case of tensors over a fixed finite field -- namely, that it is a well-quasi-order: it admits no infinite antichains and no…

Algebraic Geometry · Mathematics 2025-09-03 Andreas Blatter , Jan Draisma , Filip Rupniewski

We construct classical solutions of open string field theory which are not invariant under ordinary twist operation. From detailed analysis of the moduli space of the solutions, it turns out that our solutions become nontrivial at…

High Energy Physics - Theory · Physics 2009-11-11 Syoji Zeze

We complete the construction of vacuum string field theory by proposing a canonical choice of ghost kinetic term -- a local insertion of the ghost field at the string midpoint with an infinite normalization. This choice, supported by level…

High Energy Physics - Theory · Physics 2009-09-15 Davide Gaiotto , Leonardo Rastelli , Ashoke Sen , Barton Zwiebach

We present a new open superstring field theory, whose string fields carry an arbitrary picture number and reside in the large Hilbert space. The redundancy related to picture number is resolved by treating picture changing as a gauge…

High Energy Physics - Theory · Physics 2012-05-22 Michael Kroyter

We consider a class of conformal models describing closed strings in axially symmetric stationary magnetic flux tube backgrounds. These models are closed string analogs of the Landau model of a particle in a magnetic field or the model of…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin