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In (2+1) space-time dimensions the Einstein theory of gravity has no local degrees of freedom. In fact, in the presence of a negative cosmological term, it is described by a (1+1) dimensional theory living on its boundary: Liouville theory.…

General Relativity and Quantum Cosmology · Physics 2013-03-15 Glenn Barnich , Andrés Gomberoff , Hernán A. González

Based on our generalization of the Goulian-Li continuation in the power of the 2D cosmological term we construct the two and three-point correlation functions for Liouville exponentials with generic real coefficients. As a strong argument…

High Energy Physics - Theory · Physics 2009-10-28 H. Dorn , H. -J. Otto

We studied the lowest order quantum corrections to the macroscopic wave functions $\Gamma (A,\ell)$ of non-critical string theory using the semi-classical expansion of Liouville theory. By carefully taking the perimeter constraint into…

High Energy Physics - Theory · Physics 2009-10-30 J. Ambjorn , K. Hayasaka , R. Nakayama

Double field theory is an approach for massless modes of string theory, unifying and geometrizing all gauge invariance in manifest $\mathbf{O}(D,D)$ covariant manner. In this approach, we derive off-shell conserved Noether current and…

High Energy Physics - Theory · Physics 2015-11-24 Jeong-Hyuck Park , Soo-Jong Rey , Woohyun Rim , Yuho Sakatani

We construct a field theoretic version of 2T-physics including interactions in an action formalism. The approach is a BRST formulation based on the underlying Sp(2,R)gauge symmetry, and shares some similarities with the approach used to…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars , Yueh-Cheng Kuo

Liouville Field Theory (LFT for short) is a two dimensional model of random surfaces, which is for instance involved in $2d$ string theory or in the description of the fluctuations of metrics in $2d$ Liouville quantum gravity. This is a…

Probability · Mathematics 2017-10-16 Hubert Lacoin , Rémi Rhodes , Vincent Vargas

We present a Liouville-string approach to confinement in four-dimensional gauge theories, which extends previous approaches to include non-conformal theories. We consider Liouville field theory on world sheets whose boundaries are the…

High Energy Physics - Theory · Physics 2009-09-11 John Ellis , N. E. Mavromatos

We show that the boundary string field theory (BSFT) on unstable D0-branes in 2d string theory is equivalent to the double scaled c=1 matrix model (i.e. quadratic action), even though we naively expect many interaction terms in BSFT. It is…

High Energy Physics - Theory · Physics 2009-11-11 Tadashi Takayanagi , Seiji Terashima

We apply to non-critical bosonic Liouville string models, characterized by a central-charge deficit Q, a new non-perturbative renormalization-group technique based on a functional method for controlling the quantum fluctuations. We…

High Energy Physics - Theory · Physics 2009-11-11 Jean Alexandre , John Ellis , Nikolaos E. Mavromatos

Using sigma-model approach, we study a class of coset spaces with torsion which compactify the D=26 closed bose-string theory. Requiring also that massless chiral fermions arise from the geometry/topology of coset space, we are left with…

High Energy Physics - Theory · Physics 2007-05-23 A. M. Gavrilik

We construct O(D,D) invariant actions for the bosonic string and RNS superstring, using Hamiltonian methods and ideas from double field theory. In this framework the doubled coordinates of double field theory appear as coordinates on phase…

High Energy Physics - Theory · Physics 2015-12-14 Chris D. A. Blair , Emanuel Malek , Alasdair J. Routh

We study the quantum aspects of the conformal gravity in four dimensions, specifically addressing a known discrepancy in beta functions between general quadratic curvature theories and conformal gravity, which corresponds to two scalar…

High Energy Physics - Theory · Physics 2025-12-25 Hikaru Kawai , Nobuyoshi Ohta

The conformal-gauge two-dimensional quantum gravity is formulated in the framework of the BRS quantization and solved completely in the Heisenberg picture: All n-point Wightman functions are explicitly obtained. The field-equation anomaly…

High Energy Physics - Theory · Physics 2009-10-31 Mitsuo Abe , Noboru Nakanishi

A Closed string field theory action is formulated for $\mathcal N$ =8 self-dual supergravity which is off-shell and Lorentz covariant. The bosonic truncation in the quantum field theory limit gives the Plebanski type of action in the super…

High Energy Physics - Theory · Physics 2009-03-18 Satchidananda Naik

The main limitations of string field theory arise because its present formulation requires a background representing a classical solution, a background defined by a strictly conformally invariant theory. Here we sketch a construction for a…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

We explain how the spacetime diffeomorphism in the classical bosonic closed string field theory (SFT) is represented as $L_\infty$ gauge transformations in weakly curved backgrounds. In particular, we demonstrate the explicit map between…

High Energy Physics - Theory · Physics 2025-04-17 Ben Mazel , Charles Wang , Xi Yin

We construct a system of bosonic closed string field theory coupled to a D-brane. The interaction between the D-brane and closed string field is introduced using the boundary state which is a function of constant field strength $F_{\mu\nu}$…

High Energy Physics - Theory · Physics 2016-08-25 Koji Hashimoto , Hiroyuki Hata

We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under…

High Energy Physics - Theory · Physics 2017-11-22 Corinne de Lacroix , Harold Erbin , Sitender Pratap Kashyap , Ashoke Sen , Mritunjay Verma

We consider a generalization of the two-dimensional Liouville conformal field theory to any number of even dimensions. The theories consist of a log-correlated scalar field with a background $\mathcal{Q}$-curvature charge and an exponential…

High Energy Physics - Theory · Physics 2018-11-07 Tom Levy , Yaron Oz

We probe a slice of the massive winding sector of bosonic string theory from toroidal compactifications of Double Field Theory (DFT). This string subsector corresponds to states containing one left and one right moving oscillators. We…

High Energy Physics - Theory · Physics 2017-04-05 Gerardo Aldazabal , Martín Mayo , Carmen Nuñez