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Large-N matrix models coupled via multitrace operators are used to define, via appropriate double-scaling limits, solvable models of interacting multi-string theories. It is shown that although such theories are non-local at the world-sheet…

High Energy Physics - Theory · Physics 2014-11-18 Elias Kiritsis , Vasilis Niarchos

We consider a model of 2D quantum field theory on a disk, whose bulk dynamics is that of a two-component free massless Bose field (X,Y), and interaction occurs at the boundary, where the boundary values (X_B, Y_B) are constrained to special…

High Energy Physics - Theory · Physics 2010-04-05 S. L. Lukyanov , E. S. Vitchev , A. B. Zamolodchikov

The Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality relates Witten's cigar model to sine-Liouville theory. This duality was proven in the path integral formulation and extended to the case of higher genus closed Riemann surfaces by…

High Energy Physics - Theory · Physics 2011-09-28 Thomas Creutzig , Yasuaki Hikida , Peter B. Ronne

By exploiting the boundary state formalism we obtain the string correlator between two internal points on the one loop open string world-sheet in the presence of a constant background $B$-field. From this derivation it is clear that there…

High Energy Physics - Theory · Physics 2009-10-31 Adel Bilal , Chong-Sun Chu , Rodolfo Russo

This thesis is a study of two dimensional noncritical string theory. The main tool which is used, is the matrix model. Introductions to both the Liouville model and its matrix model formulation are included. In particular the special states…

High Energy Physics - Theory · Physics 2007-05-23 Ulf H. Danielsson

We study the role of closed string backgrounds in boundary string field theory. Background independence requires the introduction of dual boundary fields, which are reminiscent of the doubled field formalism. We find a correspondence…

High Energy Physics - Theory · Physics 2014-11-20 M. Baumgartl

We show how to exploit algebraic relations of operators (or matrices) which constitute the non-equilibrium matrix product steady state of a boundary driven quantum spin chain to find partial differential equations determining all the…

Statistical Mechanics · Physics 2016-08-08 Berislav Buca , Tomaz Prosen

Quantum many-body systems have a rich structure in the presence of boundaries. We study the groundstates of conformal field theories (CFTs) and Lifshitz field theories in the presence of a boundary through the lens of the entanglement…

Strongly Correlated Electrons · Physics 2022-09-07 Clément Berthiere , William Witczak-Krempa

Over the last few years, string theory has changed profoundly. Most importantly, novel duality relations have emerged which involve gauge theories of brane excitations on one side and various closed string backgrounds on the other. In this…

High Energy Physics - Theory · Physics 2007-05-23 Volker Schomerus

The theory of a massless two-dimensional scalar field with a periodic boundary interaction is considered. At a critical value of the period this system defines a conformal field theory and can be re-expressed in terms of free fermions,…

High Energy Physics - Theory · Physics 2009-10-09 J. Polchinski , L. Thorlacius

We study boundary states in (p,q) minimal superstring theory, combining the explicit form of matter wave functions. Within the modular bootstrap framework, Cardy states of (p,q) minimal superconformal field theory are completely determined…

High Energy Physics - Theory · Physics 2008-11-26 Hirotaka Irie

The boundary effects in the open Hubbard chain with boundary fields are studied. The boundary string solutions of the Bethe ansatz equations that give rise to a wave functions localized at the boundary and exponentially decreasing away from…

Strongly Correlated Electrons · Physics 2009-10-30 Osamu Tsuchiya , Takashi Yamamoto

We derive compact multiple integral formulas for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formulas follow from several effective re-summations of the…

High Energy Physics - Theory · Physics 2009-09-25 N. Kitanine , K. Kozlowski , J. M. Maillet , G. Niccoli , N. A. Slavnov , V. Terras

We show how a boundary state different from the (1,1) Cardy state may be realised in the (m,m+1) minimal string by the introduction of an auxiliary matrix into the standard two hermitian matrix model. This boundary is a natural…

High Energy Physics - Theory · Physics 2012-12-18 Max R. Atkin , Stefan Zohren

The study of conformal boundary conditions for two-dimensional conformal field theories (CFTs) has a long history, ranging from the description of impurities in one-dimensional quantum chains to the formulation of D-branes in string theory.…

High Energy Physics - Theory · Physics 2021-12-08 Scott Collier , Dalimil Mazac , Yifan Wang

We study scattering amplitudes in two-dimensional string theory on a black hole bakground. We start with a simple derivation of the Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality, which associates correlation functions of the…

High Energy Physics - Theory · Physics 2017-03-08 Gaston Giribet

The bootstrap for Liouville theory with conformally invariant boundary conditions will be discussed. After reviewing some results on one- and boundary two-point functions we discuss some analogue of the Cardy condition linking these data.…

High Energy Physics - Theory · Physics 2007-05-23 J. Teschner

We study conformal field theory correlation functions relevant for string diagrams with open strings that stretch between several parallel branes of different dimensions. In the framework of conformal field theory, they involve boundary…

High Energy Physics - Theory · Physics 2009-10-31 J. Froehlich , O. Grandjean , A. Recknagel , V. Schomerus

All solvable two-dimensional quantum gravity models have non-trivial BRST cohomology with vanishing ghost number. These states form a ring and all the other states in the theory fall into modules of this ring. The relations in the ring and…

High Energy Physics - Theory · Physics 2009-09-15 D. Kutasov , E. Martinec , N. Seiberg

We investigate B-type topological Landau-Ginzburg theory with one variable, with D2-brane boundary conditions. We find that the allowed brane configurations are determined in terms of the possible factorizations of the superpotential, and…

High Energy Physics - Theory · Physics 2009-11-10 Ilka Brunner , Manfred Herbst , Wolfgang Lerche , Bernhard Scheuner