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We study a bosonic open string coupled to a tachyonic background field $T[X]$ and find that the tachyon field can effectively be replaced by a configuration of D-branes placed at either the zeros or the critical points of $T[X]$, depending…

High Energy Physics - Theory · Physics 2007-05-23 Tasneem Zehra Husain , Maxim Zabzine

We study the statistical complexity of estimating partition functions given sample access to a proposal distribution and an unnormalized density ratio for a target distribution. While partition function estimation is a classical problem,…

Machine Learning · Statistics 2026-03-02 Adam Block , Abhishek Shetty

We discuss the construction of boundary contributions to free string field theory actions in the context of the bosonic string. We show that it is generally possible to obtain a well-defined variational principle by adding a simple boundary…

High Energy Physics - Theory · Physics 2025-02-27 Carlo Maccaferri , Riccardo Poletti , Alberto Ruffino , Jakub Vošmera

We derive boundary state of superstring in the open string channel. It describes the superconformal field theory of open string emission and absorption by D-brane. We define the boundary state by conformal mappings from upper half plane…

High Energy Physics - Theory · Physics 2011-09-16 Yosuke Imamura , Hiroshi Isono , Yutaka Matsuo

We consider the six-vertex model on an $N \times N$ square lattice with the domain wall boundary conditions. Boundary one-point correlation functions of the model are expressed as determinants of $N\times N$ matrices, generalizing the known…

Mathematical Physics · Physics 2009-11-07 N. M. Bogoliubov , A. G. Pronko , M. B. Zvonarev

We give a complete numerical description of the geometry of the four-point contact interaction of closed bosonic string field theory. Namely, we compute the boundary of the relevant region of the moduli space of the four-punctured spheres,…

High Energy Physics - Theory · Physics 2010-02-03 Nicolas Moeller

In this note we will study solution of open bosonic string field theory based on action of operators from chiral algebra of boundary conformal field theory on identity element of string field theory star algebra. We will demonstrate that…

High Energy Physics - Theory · Physics 2009-11-10 J. Kluson

In this article we will derive a combinatorial formula for the partition function p(n). In the second part of the paper we will establish connection between partitions and q-binomial coefficients and give new interpretation for q-binomial…

Combinatorics · Mathematics 2016-05-10 Zhumagali Shomanov

Partition density functional theory is a formally exact procedure for calculating molecular properties from Kohn-Sham calculations on isolated fragments, interacting via a global partition potential that is a functional of the fragment…

Other Condensed Matter · Physics 2015-05-13 Peter Elliott , Kieron Burke , Morrel H. Cohen , Adam Wasserman

We construct in a rigorous mathematical way interacting quantum field theories on a p-adic spacetime. The main result is the construction of a measure on a function space which allows a rigorous definition of the partition function. The…

Mathematical Physics · Physics 2022-04-20 W. A. Zúñiga-Galindo

We discuss the problem of tachyon condensation in the framework of background independent open string field theory. We show, in particular, that the computation of the string field theory action simplifies considerably if one looks at…

High Energy Physics - Theory · Physics 2009-10-31 L. Cornalba

We supplement the string field theory action with boundary terms to make its variational principle well-posed. Central to our considerations is the violation of the stress-energy tensor conservation in non-compact CFTs due to the boundary…

High Energy Physics - Theory · Physics 2025-02-13 Atakan Hilmi Fırat , Raji Ashenafi Mamade

We revisit non-interacting string partition functions in Rindler space by summing over fields in the spectrum. In field theory, the total partition function splits in a natural way in a piece that does not contain surface terms and a piece…

High Energy Physics - Theory · Physics 2016-06-01 Thomas G. Mertens , Henri Verschelde , Valentin I. Zakharov

GSO projected Superconformal field theory (Spin Model) with boundary is considered. There were written the boundary states. For this model were derived one-point structure constants and "bootstrap" equations for boundary-bulk structure…

High Energy Physics - Theory · Physics 2009-02-23 S. A. Apikyan , D. A. Sahakyan

Stanley's theory of $(P,\omega)$-partitions is a standard tool in combinatorics. It can be extended to allow for the presence of a restriction, that is a given maximal value for partitions at each vertex of the poset, as was shown by Assaf…

Combinatorics · Mathematics 2023-03-17 Philippe Nadeau , Vasu Tewari

We study tachyon condensation on brane-antibrane systems in orbifold theories from the viewpoint of boundary string field theory. We show that the condensation of holomorphic tachyon fields generates various fractional D-branes. The…

High Energy Physics - Theory · Physics 2009-11-07 Tadashi Takayanagi

In this paper we compute the radiation of the massless closed string states due to the non-vanishing coupling to the rolling open string tachyon with co-dimensions larger than 2, and discuss the effect of back reaction to the motion of the…

High Energy Physics - Theory · Physics 2014-11-18 Bin Chen , Miao Li , Feng-Li Lin

We construct analytic solutions of open superstring field theory in the Berkovits formulation using boundary condition changing operators under some regularity conditions, extending the previous construction in the bosonic string. We also…

High Energy Physics - Theory · Physics 2012-06-13 Toshifumi Noumi , Yuji Okawa

We introduce a new class of sine-Gordon models, for which interaction term is present in a region different from the domain over which quadratic part is defined. We develop a novel non-perturbative approach for calculating partition…

Strongly Correlated Electrons · Physics 2008-06-13 Adilet Imambekov , Vladimir Gritsev , Eugene Demler

We introduce a boundary state which is corresponding to a D$p$-brane with tangential dynamics in the presence of the Kalb-Ramond field, a tachyonic field and a $U(1)$ gauge potential in a special gauge. From the interaction of such branes…

High Energy Physics - Theory · Physics 2022-02-23 Hamidreza Daniali , Davoud Kamani
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