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We study the open XXZ spin chain in the anti-ferromagnetic regime and for generic longitudinal magnetic fields at the two boundaries. We discuss the ground state via the Bethe ansatz and we show that, for a chain of even length L and in a…

Statistical Mechanics · Physics 2019-08-21 Sebastian Grijalva , Jacopo De Nardis , Veronique Terras

Boundary correlators of elementary fields in some 2d conformal field theories defined on AdS$_2$ have a particularly simple structure. For example, the correlators of the Liouville scalar happen to be the same as the correlators of the…

High Energy Physics - Theory · Physics 2020-06-24 Matteo Beccaria , Hongliang Jiang , Arkady A. Tseytlin

In this paper, we construct the Brownian motion of Liouville Quantum Gravity with central charge $c=1$ (more precisely we restrict to the corresponding free field theory). Liouville quantum gravity with $c=1$ corresponds to two-dimensional…

Probability · Mathematics 2015-02-17 Rémi Rhodes , Vincent Vargas

The effective string theory emerging from the bilocal approximation to the Method of Vacuum Correlators in gluodynamics is shown to be well described by the 4D theory of the massive Abelian Kalb-Ramond field interacting with the string,…

High Energy Physics - Theory · Physics 2009-10-30 D. V. Antonov

We push forward the investigation of holographic dualities in 3D quantum gravity formulated as a topological quantum field theory, studying the correspondence between boundary and bulk structures. Working with the Ponzano-Regge topological…

High Energy Physics - Theory · Physics 2020-03-18 Christophe Goeller , Etera R. Livine , Aldo Riello

We investigated the relation between the two-dimensional minimal gravity (Lee-Yang series) with boundaries and open intersection theory. It is noted that the minimal gravity with boundaries is defined in terms of boundary cosmological…

High Energy Physics - Theory · Physics 2019-12-11 Alexander Alexandrov , Hisayoshi Muraki , Chaiho Rim

We study the O(n) loop model on a dynamically triangulated disk, with a new type of boundary conditions, discovered recently by Jacobsen and Saleur. The partition function of the model is that of a gas of self and mutually avoiding loops…

High Energy Physics - Theory · Physics 2008-11-26 Ivan Kostov

We study the D-brane spectrum of N=2 string orbifold theories using the boundary state formalism. The construction is carried out for orbifolds with isolated singularities, non-isolated singularities and orbifolds with discrete torsion. Our…

High Energy Physics - Theory · Physics 2009-10-31 Duiliu-Emanuel Diaconescu , Jaume Gomis

We extend the lattice gauge theory-type derivation of the Barrett-Crane spin foam model for quantum gravity to other choices of boundary conditions, resulting in different boundary terms, and re-analyze the gluing of 4-simplices in this…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daniele Oriti

We consider the structure of current and stress tensor two-point functions in conformal field theory with a boundary. The main result of this paper is a relation between a boundary central charge and the coefficient of a displacement…

High Energy Physics - Theory · Physics 2017-12-06 Christopher P. Herzog , Kuo-Wei Huang

Jackiw Teitelboim (JT) gravity has proven to be an excellent tool for investigating aspects of quantum gravity and black hole physics. In recent years, the study of JT gravity and its deformations has helped us learn about the different…

High Energy Physics - Theory · Physics 2024-07-04 Eoin Dowd , Gaston Giribet

We consider the theory of pure gravity in 2+1 dimensions, with negative cosmological constant. The theory contains simple matter in the form of point particles; the later are classically described as lines of conical singularities. We…

High Energy Physics - Theory · Physics 2009-11-07 Kirill Krasnov

We study the perturbative S-matrix of closed strings in the two-dimensional type 0B string theory from the worldsheet perspective, by directly integrating correlation functions of ${\cal N}=1$ Liouville theory. The latter is computed…

High Energy Physics - Theory · Physics 2023-06-14 Bruno Balthazar , Victor A. Rodriguez , Xi Yin

In the Chern-Simons gauge theory formulation of the spinning (2+1) dimensional black hole, we may treat the horizon and the spatial infinity as boundaries. We obtain the actions induced on both boundaries, applying the Faddeev and…

High Energy Physics - Theory · Physics 2008-02-03 Taejin Lee

We point out that insertions of matrix fields in (connected amputated) amplitudes of (generalized) Kontsevich models are given by covariant derivatives with respect to the Kontsevich moduli. This implies that correlators are sections of…

High Energy Physics - Theory · Physics 2009-11-10 Stefano Giusto , Camillo Imbimbo

Non-compact Conformal Field Theories (CFTs) are central to several aspects of string theory and condensed matter physics. They are characterised, in particular, by the appearance of a continuum of conformal dimensions. Surprisingly, such…

High Energy Physics - Theory · Physics 2021-02-24 Niall F. Robertson , Jesper Lykke Jacobsen , Hubert Saleur

We study N=1 super Liouville theory on worldsheets with and without boundary. Some basic correlation functions on a sphere or a disc are obtained using the properties of degenerate representations of superconformal algebra. Boundary states…

High Energy Physics - Theory · Physics 2008-11-26 Takeshi Fukuda , Kazuo Hosomichi

We discuss T-duality for open strings in general background fields both in the functional integral formulation as well as in the language of canonical transformations. The Dirichlet boundary condition in the dual theory has to be treated as…

High Energy Physics - Theory · Physics 2009-10-30 H. Dorn , H. -J. Otto

This thesis describes an attempt to write down covariant actions for coincident D-branes using so-called boundary fermions instead of matrices to describe the non-abelian fields. These fermions can be thought of as Chan-Paton degrees of…

High Energy Physics - Theory · Physics 2007-05-23 Linus Wulff

A geometric interpretation of quantum self-interacting string field theory is given. Relations between various approaches to the second quantization of an interacting string are described in terms of the geometric quantization. An algorithm…

High Energy Physics - Theory · Physics 2008-02-03 D. Juriev