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Graphs on surfaces is an active topic of pure mathematics belonging to graph theory. It has also been applied to physics and relates discrete and continuous mathematics. In this paper we present a formal mathematical description of the…

Mathematical Physics · Physics 2008-04-21 J. Manuel Garcia-Islas

We revisit the problem of quantizing a chiral boson on a torus. The conventional approach is to extract the partition function of a chiral boson from the path integral of a non-chiral boson. Instead we compute it directly from the chiral…

High Energy Physics - Theory · Physics 2014-05-07 Wei-Ming Chen , Pei-Ming Ho , Hsien-chung Kao , Fech Scen Khoo , Yutaka Matsuo

We compute the exact partition function, the universal ground state degeneracy and boundary state of the 2-D Ising model with boundary magnetic field at off-critical temperatures. The model has a domain that exhibits states localized near…

High Energy Physics - Theory · Physics 2009-10-28 R. Chatterjee

Using the boundary state formalism we obtain the partition function corresponding to a dynamical (rotating-moving) D$p$-brane in the presence of electromagnetic and tachyonic background fields in the superstring theory. The instability of…

High Energy Physics - Theory · Physics 2014-11-13 Farzin Safarzadeh-Maleki , Davoud Kamani

We perform the calculation of the partition function of the Poisson-sigma model on the world sheet with the topology of a two-dimensional disc. Considering the special case of a linear Poisson structure we recover the partition function of…

High Energy Physics - Theory · Physics 2007-05-23 Allen C. Hirshfeld , Thomas Schwarzweller

We compute correlation functions of closed strings in Misner space, a big crunch big bang universe. We develop a general method for correlators with twist fields, which are relevant for the investigation on the condensation of winding…

High Energy Physics - Theory · Physics 2008-11-26 Yasuaki Hikida

It has been shown recently that by turning on a large noncommutativity parameter, the description of tachyon condensation in string theory can be drastically simplified. We reconsider these issues from the standpoint of string field theory,…

High Energy Physics - Theory · Physics 2007-05-23 E. Witten

We consider a free massive spinor field in Euclidean Anti-de Sitter space. The usual Dirac action in bulk is supplemented by a certain boundary term. The boundary conditions of the field are parametrized by a spinor on the boundary, subject…

High Energy Physics - Theory · Physics 2009-10-31 Mans Henningson , Konstadinos Sfetsos

We analyze several problems related to off-shell structure of open string sigma model by using a combination of derivative expansion and expansion in powers of the fields. According to the sigma model approach to bosonic open string theory,…

High Energy Physics - Theory · Physics 2010-05-28 Sergey Frolov

We use the celebrated circle method of Hardy and Ramanujan to develop convergent formulae for counting a restricted class of partitions that arise from the G\"ollnitz--Gordon identities.

Number Theory · Mathematics 2020-05-20 Nicolas Allen Smoot

We determine the fermion mass dependence of Euclidean finite volume partition functions for three-dimensional QCD in the epsilon-regime directly from the effective field theory of the pseudo-Goldstone modes by using zero-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Richard J. Szabo

We propose an alternative interpretation of the boundary state for the rolling tachyon, which may depict the time evolution of unstable D-branes in string theory. Splitting the string variable in the temporal direction into the classical…

High Energy Physics - Theory · Physics 2010-02-03 Taejin Lee

We calculate the bosonic boundary state associated with a rotating and moving D$p$-brane in the presence of the antisymmetric tensor field, a $U(1)$ gauge field and a tachyon field. Rotation and motion are in the brane volume. We…

High Energy Physics - Theory · Physics 2014-01-16 Farzin Safarzadeh-Maleki , Davoud Kamani

We present a formulation of domain-wall fermions in the Schr\"odinger functional by following a universality argument. To examine the formulation, we numerically investigate the spectrum of the free operator and perform a one-loop analysis…

High Energy Physics - Lattice · Physics 2013-06-19 Shinji Takeda

We investigate gauge invariant operators corresponding to on-shell closed string states in open string field theory. Using both oscillator representation and conformal mapping techniques, we calculate a two closed string tachyon amplitude…

High Energy Physics - Theory · Physics 2009-11-10 Tomohiko Takahashi , Syoji Zeze

It was suggested in hep-th/0002106, that semiclassically, a partition function of a string theory in the 5 dimensional constant negative curvature space with a boundary condition at the absolute satisfy the loop equation with respect to…

High Energy Physics - Theory · Physics 2009-10-31 M. Zyskin

We consider tachyonic string-field fluctuations about a Dp-brane background in the geometrical (CFT) formulation of Vacuum String Field Theory. We then extend this analysis to the case of a background B-field. We find that the standard…

High Energy Physics - Theory · Physics 2009-11-07 P. Matlock , R. C. Rashkov , K. S. Viswanathan , Y. Yang

In this paper we review the construction of the thermal bosonic string and $D$-brane in the framework of the Thermo Field Dynamics (TFD). We briefly recall the well-known light-cone quantization of the bosonic string in the conformal gauge…

High Energy Physics - Theory · Physics 2019-01-15 Ion V. Vancea

A suitable splitting of tachyon field equation is able to disclose non trivial properties of Born-Infeld (some known, some unexpected) and Polyakov actions; the tachyon equation also can be analyzed in some detail. The analysis displays an…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Canfora

We propose a new ``boundary'' term in free bosonic string field theory. Here, the term ``boundary'' refers to a contribution introduced to restore the cyclicity broken by the insertion of a stringy step-function operator, although it is not…

High Energy Physics - Theory · Physics 2026-05-05 Yasu Gen , Hiroaki Matsunaga , Jojiro Totsuka