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We study curved space versions of matrix string theory taking as a definition of the theory a gauged matrix sigma model. By analyzing the divergent terms in the loop expansion for the effective action we reduce the problem to a simple…

High Energy Physics - Theory · Physics 2009-10-31 Ph. Brax , T. Wynter

We discuss the basic features of the double scaling limit of the one dimensional matrix model and its interpretation as a two dimensional string theory. Using the collective field theory formulation of the model we show how the fluctuations…

High Energy Physics - Theory · Physics 2007-05-23 Sumit R. Das

We consider string theory on the Lorentzian Melvin geometry, which is obtained by analytically continuing the two-parameter Euclidean Melvin background. Because this model provides a solvable conformal field theory that describes…

High Energy Physics - Theory · Physics 2008-11-26 Ta-Sheng Tai

We construct a sigma model in two dimensions with Galilean symmetry in flat target space similar to the sigma model of the critical string theory with Lorentz symmetry in 10 flat spacetime dimensions. This is motivated by the works of Gomis…

High Energy Physics - Theory · Physics 2008-11-26 Bom Soo Kim

We study discrete period matrices associated with graphs cellularly embedded on closed surfaces, resembling classical period matrices of Riemann surfaces. Defined via integrals of discrete harmonic 1-forms, these period matrices are known…

Complex Variables · Mathematics 2026-02-04 Wai Yeung Lam , On-Hei Solomon Lo , Chi Ho Yuen

This paper presents a general form of the covariance matrix structure for a vector random field that is axially symmetric and mean square continuous on the sphere and provides a series representation for a longitudinally reversible one. The…

Probability · Mathematics 2016-06-14 Chunsheng Ma

We revisit the perturbative S-matrix of c=1 string theory from the worldsheet perspective. We clarify the origin of the leg pole factors, the non-analyticity of the string amplitudes, and the validity as well as limitations of earlier…

High Energy Physics - Theory · Physics 2019-04-08 Bruno Balthazar , Victor A. Rodriguez , Xi Yin

We compute string field theory Hamiltonian matrix elements and compare them with matrix elements of the dilatation operator in gauge theory. We get precise agreement between the string field theory and gauge theory computations once the…

High Energy Physics - Theory · Physics 2010-04-05 Jaume Gomis , Sanefumi Moriyama , Jongwon Park

In this paper we examine the classical evolution of a cosmological model derived from the low-energy tree-level limit of a generic string theory. The action contains the metric, dilaton, central charge and an antisymmetric tensor field. We…

High Energy Physics - Theory · Physics 2009-10-28 Richard Easther , Kei-ichi Maeda , David Wands

We review a class of matrix models whose degrees of freedom are matrices with anticommuting elements. We discuss the properties of the adjoint fermion one-, two- and gauge invariant D-dimensional matrix models at large-N and compare them…

High Energy Physics - Theory · Physics 2009-10-30 Gordon W. Semenoff , Richard J. Szabo

Certain time dependent configurations in the c=1 matrix model correspond to string theory backgrounds which have spacelike boundaries and appear geodesically incomplete. We investigate quantum mechanical properties of a class of such…

High Energy Physics - Theory · Physics 2008-11-07 Joanna L. Karczmarek

We introduce a critical string theory in two dimensions and demonstrate that this theory, viewed as two-dimensional quantum gravity on the worldsheet, is equivalent to a double-scaled matrix integral. The worldsheet theory consists of…

High Energy Physics - Theory · Physics 2024-02-28 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

The first massive level of closed bosonic string theory is studied. Free-field equations are derived by imposing Weyl invariance on the world sheet. A two-parameter solution to the equation of motion and constraints is found in two…

High Energy Physics - Theory · Physics 2009-10-31 Andy Wilkins

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 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…

High Energy Physics - Theory · Physics 2025-08-13 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

In this short note we would like to show the relation between the cubic string field theory for N D-instantons and the string field theory in the presence of the background B field.

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

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

Even at tree level, the first quantized string theory suffers from apparent short distance singularities associated with collision of vertex operators that prevent us from straightforward numerical computation of various quantities.…

High Energy Physics - Theory · Physics 2020-01-08 Ashoke Sen

The Ward identities of the $W_{\infty}$ symmetry in 2D string theory in the tachyon background are studied in the continuum approach. Comparing the solutions with the matrix model results, it is verified that 2D string amplitudes are…

High Energy Physics - Theory · Physics 2007-05-23 Ken-ji Hamada

We discuss the origin of the leg factors appearing in 2D string theory. Computing in the world sheet framework we use the semiclassical method to study string amplitudes at high energy. We show that in the case of a simplest 2-point…

High Energy Physics - Theory · Physics 2010-11-01 Antal Jevicki , Miao Li , Tamiaki Yoneya
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