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Recent results on the annulus partition function in Liouville field theory are applied to non-critical string theory, both below and above the critical dimension. Liouville gravity coupled to $c\le 1$ matter has a dual formulation as a…

高能物理 - 理论 · 物理学 2007-05-23 Emil J. Martinec

We introduce the complex Liouville string, a solvable string theory defined by coupling two Liouville theories with complex conjugate central charges $c \in 13+i \mathbb{R}$ on the worldsheet. We compute its amplitudes from first principles…

高能物理 - 理论 · 物理学 2025-02-17 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

The non critical string (2D gravity coupled to the matter with central charge $D$) is quantized taking care of both diffeomorphism and Weyl symmetries. In incorporating the gauge fixing with respect to the Weyl symmetry, through the…

高能物理 - 理论 · 物理学 2015-06-26 M. Martellini , M. Spreafico , K. Yoshida

String field theory for the non-critical NSR string is described. In particular it gives string field theory for the 2D super-gravity coupled to a $\hat{c}=1$ matter field. For this purpose double-step pictures changing operators for the…

高能物理 - 理论 · 物理学 2007-05-23 I. Ya. Aref'eva , A. P. Zubarev

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…

高能物理 - 理论 · 物理学 2007-05-23 Elias Gravanis , Nick E. Mavromatos

We consider the two dimensional Jackiw-Teitelboim model of gravity. We first couple the model to the Liouville action and $c$ scalar fields and show, treating the combined system as a non linear sigma model, that the resulting theory can be…

高能物理 - 理论 · 物理学 2009-10-22 F. D. Mazzitelli , N. Mohammedi

We introduce a new two-dimensional string theory defined by coupling two copies of Liouville CFT with complex central charge $c=13\pm i \lambda$ on the worldsheet. This string theory defines a novel, consistent and controllable model of…

高能物理 - 理论 · 物理学 2025-08-13 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

We suggest a means of obtaining certain Green's functions in 3+1-dimensional ${\cal N} = 4$ supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical…

高能物理 - 理论 · 物理学 2008-11-26 S. S. Gubser , I. R. Klebanov , A. M. Polyakov

We study two-dimensional Liouville gravity and minimal string theory on spaces with fixed length boundaries. We find explicit formulas describing the gravitational dressing of bulk and boundary correlators in the disk. Their structure has a…

高能物理 - 理论 · 物理学 2023-03-15 Thomas G. Mertens , Gustavo J. Turiaci

We present a family of classical spacetimes in 2+1 dimensions. Such a spacetime is produced by a Nambu-Goto self-gravitating string. Due to the special properties of three-dimensional gravity, the metric is completely described as a…

高能物理 - 理论 · 物理学 2009-10-22 Shahar Ben-Menahem

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…

高能物理 - 理论 · 物理学 2009-10-30 Kazuo Ghoroku

It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be consistently coupled to two-dimensional `frame' gravity. The theory is quantized, following David, and Distler and Kawai, using the derivation of their {\it ansatz}…

高能物理 - 理论 · 物理学 2009-10-22 R. C. Myers , V. Periwal

It is well known that string theory can be formulated as two dimensional gravity coupled to matter. In the 2d gravity formulation the central charge of the matter together with a hidden dimension from the conformal factor or Liouville mode…

高能物理 - 理论 · 物理学 2007-05-23 Michael McGuigan

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…

高能物理 - 理论 · 物理学 2024-07-04 Eoin Dowd , Gaston Giribet

We examine a possibility to introduce a non-trivial classical background metric into the 2-d Liouville gravity theory. The classical background appears as a part of the Weyl factor of the physical metric of 2-d surfaces with some conformal…

高能物理 - 理论 · 物理学 2007-05-23 N. Ano , T. Suzuki

The well known N=2 string theory describes self-dual gravity, as was shown by Ooguri and Vafa sometime ago. In search of a variant of this theory which would describe self-dual supergravity in 2+2 dimensions, we have constructed two new N=2…

高能物理 - 理论 · 物理学 2007-05-23 E. Sezgin

We consider a conformal system of a string and a particle defined in D=10+2 space-time dimensions. The extra time-like dimension is a gauge artifact and can be eliminated by choosing a gauge in which the SO(10,1) Lorentz symmetry is…

高能物理 - 理论 · 物理学 2007-05-23 Costas Kounnas

We give a rigorous definition of sine dilaton gravity in terms of the worldsheet theory of the complex Liouville string arXiv:2409.17246. The latter has a known exact solution that we leverage to explore the gravitational path integral of…

高能物理 - 理论 · 物理学 2025-10-29 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann

We derive curvature counterterms in two-dimensional gravity coupled to conformal matter up to infinite order. By construction the higher-order action is equivalent to a finite first-order theory with auxiliary scalar. Due to this…

高能物理 - 理论 · 物理学 2009-10-22 Thomas T. Burwick

Using the renormalization-group formalism, a sigma model of a special type- in which the metric and the dilaton depend explicitly on one of the string coordinates only-is investigated near two dimensions. It is seen that dilatonic gravity…

高能物理 - 理论 · 物理学 2009-09-17 E. Elizalde , S. D. Odintsov
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