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In the framework of simplicial models, we construct and we fully characterize a scalar boundary conformal field theory on a triangulated Riemann surface. The results are analysed from a string theory perspective as tools to deal with…

High Energy Physics - Theory · Physics 2007-11-01 Valeria L. Gili , Mauro Carfora , Claudio Dappiaggi

In this expository paper we discuss a project regarding the string topology of a manifold, that was inspired by recent work of Moore-Segal, Costello, and Hopkins and Lurie, on "open-closed topological conformal field theories". Given a…

Algebraic Topology · Mathematics 2009-06-30 Andrew J. Blumberg , Ralph L. Cohen , Constantin Teleman

A general algorithm is presented which gives a closed-form expression for an arbitrary perturbative diagram of cubic string field theory at any loop order. For any diagram, the resulting expression is given by an integral of a function of…

High Energy Physics - Theory · Physics 2007-05-23 Washington Taylor

We show how conformal field theory topological defects can relate solutions of open string field theory for different boundary conditions. To this end we generalize the results of Graham and Watts to include the action of defects on…

High Energy Physics - Theory · Physics 2016-12-08 Toshiko Kojita , Carlo Maccaferri , Toru Masuda , Martin Schnabl

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 apply stochastic quantization method to Kostov's matrix-vector models for the second quantization of orientable strings with Chan-Paton like factors, including both open and closed strings. The Fokker-Planck hamiltonian deduces an…

High Energy Physics - Theory · Physics 2009-10-31 Daiji Ennyu , Hiroshi Kawabe , Naohito Nakazawa

We construct a string field Hamiltonian for a noncritical string theory with the continuum limit of the Ising model or its generalization as the matter theory on the worldsheet. It consists of only three string vertices as in the case for…

High Energy Physics - Theory · Physics 2009-10-22 N. Ishibashi , H. Kawai

We discuss the classical continuum limit of the string field theory dual to the $\mathrm{SU}(N)$ lattice gauge theory and investigate various fundamental phenomena in the continuum theory at the mean-field level. Our construction of the…

High Energy Physics - Theory · Physics 2025-04-08 Kiyoharu Kawana

String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In arXiv:1709.03506, the perturbative string theory is reproduced from a string geometry model coupled with a $u(1)$ gauge field on string…

High Energy Physics - Theory · Physics 2020-10-16 Matsuo Sato , Yuji Sugimoto

We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under…

High Energy Physics - Theory · Physics 2017-11-22 Corinne de Lacroix , Harold Erbin , Sitender Pratap Kashyap , Ashoke Sen , Mritunjay Verma

We present a level (10,30) numerical computation of the spectrum of quadratic fluctuations of Open String Field Theory around the tachyonic vacuum, both in the scalar and in the vector sector. Our results are consistent with Sen's…

High Energy Physics - Theory · Physics 2009-09-29 Camillo Imbimbo

We establish a translation dictionary between open and closed strings, starting from open string field theory. Under this correspondence, (off-shell) level-matched closed string states are represented by star algebra projectors in open…

High Energy Physics - Theory · Physics 2007-05-23 L. Bonora , N. Bouatta , C. Maccaferri

We present a new approach to bootstrapping string-like theories by exploiting a local crossing symmetric dispersion relation and field redefinition ambiguities. This approach enables us to use mass-level truncation and to go beyond the dual…

High Energy Physics - Theory · Physics 2024-12-09 Faizan Bhat , Debapriyo Chowdhury , Arnab Priya Saha , Aninda Sinha

We examine the application of boundary states in computing amplitudes in off-shell open string theory. We find a straightforward generalization of boundary state which produces the correct matrix elements with on-shell closed string states.

High Energy Physics - Theory · Physics 2008-11-26 E. T. Akhmedov , M. Laidlaw , G. W. Semenoff

Perturbative string amplitudes are correctly derived from the string geometry theory, which is one of the candidates of a non-perturbative formulation of string theory. In order to derive non-perturbative effects rather easily, we formulate…

High Energy Physics - Theory · Physics 2020-10-15 Matsuo Sato , Yuji Sugimoto

We propose a paradigm for realizing the SYK model within string theory. Using the large $N$ matrix description of $c<1$ string theory, we show that the effective theory on a large number $Q$ of FZZT D-branes in $(p,1)$ minimal string theory…

High Energy Physics - Theory · Physics 2021-08-26 Akash Goel , Herman Verlinde

The quantization of a free boson whose momentum satisfies a cubic constraint leads to a $c=\ha$ conformal field theory with a BRST symmetry. The theory also has a $W_\infty $ symmetry in which all the generators except the stress-tensor are…

High Energy Physics - Theory · Physics 2009-10-22 C. M. Hull

The observation of a scalar resonance at the LHC, compatible with perturbative electroweak symmetry breaking, reinforces the Standard Model parameterisation of all subatomic data. The logarithmic evolution of the SM gauge and matter…

High Energy Physics - Theory · Physics 2014-04-22 Alon E. Faraggi

We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading Wilson coefficient $\alpha$ controlling the leading correction…

High Energy Physics - Theory · Physics 2021-08-25 Andrea Guerrieri , Joao Penedones , Pedro Vieira

We study open and closed string amplitudes at tree-level in string perturbation theory using the methods of single-valued integration which were developed in the prequel to this paper. Using dihedral coordinates on the moduli spaces of…

Number Theory · Mathematics 2023-02-23 Francis Brown , Clément Dupont