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We consider the Liouville theory in fixed Euclidean AdS$_2$ background. Expanded near the minimum of the potential the elementary field has mass squared 2 and (assuming the standard Dirichlet b.c.) corresponds to a dimension 2 operator at…

High Energy Physics - Theory · Physics 2020-01-08 Matteo Beccaria , Arkady A. Tseytlin

We review and study the duality between string theory formulated on a curved exact background (the two dimensional black hole) and string theory in flat space with a tachyon-like potential. We generalize previous results in this subject by…

High Energy Physics - Theory · Physics 2008-11-26 Gaston Giribet , Matias Leoni

The influence of closed string moduli on the D-brane moduli space is studied from a worldsheet point of view. Whenever a D-brane cannot be adjusted to an infinitesimal change of the closed string background, the corresponding exactly…

High Energy Physics - Theory · Physics 2008-11-26 Stefan Fredenhagen , Matthias R. Gaberdiel , Christoph A. Keller

A systematic construction is given for N=1 open string boundary coupling to Abelian and non-Abelian Dp-brane worldvolume fields, in general curved backgrounds. The basic ingredient is a set of four ``boundary vectors'' that provide a…

High Energy Physics - Theory · Physics 2007-05-23 S. F. Hassan

We consider the quantum treatment of the rolling tachyon background describing the decay of D-branes in the limit of weak string coupling. We focus on the propagation of an open string in the fluctuating background and show how the boundary…

High Energy Physics - Theory · Physics 2009-11-10 Jan Ambjorn , Romuald A. Janik

We use insights from string field theory to analyze and cure the divergences in the cylinder diagram in minimal string theory with both boundaries lying on a ZZ brane. We focus on theories with worldsheet matter consisting of the $(2,p)$…

High Energy Physics - Theory · Physics 2022-08-10 Dan Stefan Eniceicu , Raghu Mahajan , Chitraang Murdia , Ashoke Sen

Quantum theory of 2d gravity for $c>1$ is examined as a non-critical string theory by taking account of the loop-correction of open strings whose end points are on the 2d world surface of the closed string. This loop-correction leads to a…

High Energy Physics - Theory · Physics 2009-10-30 Kazuo Ghoroku

We discuss the problem of consistent description of higher spin massive fields coupled to external gravity. As an example we consider massive field of spin 2 in arbitrary gravitational field. Consistency requires the theory to have the same…

High Energy Physics - Theory · Physics 2017-08-23 I. L. Buchbinder , V. D. Pershin

We derive the non-perturbative corrections to the free energy of the two-matrix model in terms of its algebraic curve. The eigenvalue instantons are associated with the vanishing cycles of the curve. For the (p,q) critical points our…

High Energy Physics - Theory · Physics 2016-11-23 V. Kazakov , I. Kostov

In the Lagrangian approach to 2-dimensional sigma models, B-fields and D-branes contribute topological terms to the action of worldsheets of both open and closed strings. We show that these terms naturally fit into a 2-dimensional, smooth…

Mathematical Physics · Physics 2021-10-25 Severin Bunk , Konrad Waldorf

We consider certain supersymmetric configurations of intersecting branes and branes ending on branes and analyze the duality between their open and closed string interpretation. The examples we study are chosen such that we have the lower…

High Energy Physics - Theory · Physics 2009-11-07 Andreas Karch , Lisa Randall

Within the path integral formalism, we compute the disk partition functions of two dimensional Liouville and JT quantum gravity theories coupled to a matter CFT of central charge $c$, with cosmological constant $\Lambda$, in the limit…

High Energy Physics - Theory · Physics 2025-02-05 Soumyadeep Chaudhuri , Frank Ferrari

This is an introduction to the microscopic techniques of non-rational bulk and boundary conformal field theory which are needed to describe strings moving in non-compact curved backgrounds. The latter arise e.g. in the context of…

High Energy Physics - Theory · Physics 2008-11-26 Volker Schomerus

At the classical level we study open bosonic strings. A generic description of string self-interactions localized at string ends is given. Self-interactions are characterized by two dimensionless coupling constants. The model is rewritten…

High Energy Physics - Theory · Physics 2015-06-26 Pawel Wegrzyn

Critical String Theory is by definition an $S$-matrix theory. In this sense, (quantum) gravity situations where a unitary $S$-matrix may not be a well-defined concept, as a consequence of the existence of macroscopic (global) or microscopic…

High Energy Physics - Theory · Physics 2007-05-23 Elias Gravanis , Nick E. Mavromatos

Liouville field theory has long been a cornerstone of two-dimensional quantum field theory and quantum gravity, which has attracted much recent attention in the mathematics literature. Timelike Liouville field theory is a version of…

Probability · Mathematics 2026-05-06 Sourav Chatterjee

We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of three parts. In part I, we review the bosonic Liouville theory. After briefly reviewing the necessary…

High Energy Physics - Theory · Physics 2011-05-05 Yu Nakayama

Our purpose is to pursue the rigorous construction of Liouville Quantum Field Theory on Riemann surfaces initiated by F. David, A. Kupiainen and the last two authors in the context of the Riemann sphere and inspired by the 1981 seminal work…

Probability · Mathematics 2017-07-18 Yichao Huang , Rémi Rhodes , Vincent Vargas

We analyse the connections between the Wheeler DeWitt approach for two dimensional quantum gravity and holography, focusing mainly in the case of Liouville theory coupled to $c=1$ matter. Our motivation is to understand whether some form of…

High Energy Physics - Theory · Physics 2020-10-28 Panagiotis Betzios , Olga Papadoulaki

We study a model of 2D QFT with boundary interaction, in which two-component massless Bose field is constrained to a circle at the boundary. We argue that this model is integrable at two values of the topological angle, $\theta =0$ and…

High Energy Physics - Theory · Physics 2011-02-16 S. L. Lukyanov , A. B. Zamolodchikov