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Related papers: The c=1 String Theory S-Matrix Revisited

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The (bosonic) Virasoro minimal string, which relates worldsheet string theory to a deformation of the JT gravity matrix model, provides an interesting example of a tractable matrix/string duality. We explore its $\mathcal{N} =1$…

High Energy Physics - Theory · Physics 2025-05-15 Mukund Rangamani , Jianming Zheng

Based on general mathematical assumptions we give an independent, elementary derivation of a theorem by Francis Brown and Cl\'ement Dupont which states that tree-level amplitudes of closed and open strings are related through the…

High Energy Physics - Theory · Physics 2019-01-30 Oliver Schlotterer , Oliver Schnetz

In recent years, the BCFW construction provided a very powerful tool for computing scattering amplitudes as well as it shed light on the perturbation theory structure. In this talk, we discuss the long-standing issue of the boundary term…

High Energy Physics - Theory · Physics 2016-01-20 Paolo Benincasa

We study the time-dependent tachyon backgrounds of the string collective field theory using the formalism of the $S$-matrix generating functional. In the process we clarify the connection between two ways of calculating the $S$-matrix, the…

High Energy Physics - Theory · Physics 2013-11-13 Julian Lee

We study the correspondence between the linear matrix model and the interacting nonlinear string theory. Starting from the simple matrix harmonic oscillator states, we derive in a direct way scattering amplitudes of 2-dimensional strings,…

High Energy Physics - Theory · Physics 2007-05-23 A. Jevicki , J. P. Rodrigues , A. J. van Tonder

The integrability-based solution of string theories related to AdS(n)/CFT(n-1) dualities relies on the worldsheet S matrix. Using generalized unitarity we construct the terms with logarithmic dependence on external momenta at one- and…

High Energy Physics - Theory · Physics 2014-05-28 Oluf Tang Engelund , Ryan W. McKeown , Radu Roiban

We study percolation on the worldsheets of string theory for $c=0,1/2,1$ and $2$. For $c<1$ we find that critical exponents measured from simulations agree quite well with the theoretical values. For $c=1$ we show how log corrections…

High Energy Physics - Theory · Physics 2009-10-22 Geoffrey Harris

The continuation of the Liouville conformal field theory to c<=1 is considered. The viability of an interpretation involving a timelike boson which is the conformal factor for two-dimensional asymptotically de Sitter geometries is examined.…

High Energy Physics - Theory · Physics 2008-11-26 Will McElgin

A certain topological field theory is shown to be equivalent to the compactified c=1 string. This theory is described in both Kazama-Suzuki coset and Landau-Ginzburg formulations. The genus-g partition function and genus-0 multi-tachyon…

High Energy Physics - Theory · Physics 2007-05-23 Sunil Mukhi

In this paper we show that in perturbative string theory the genus-one contribution to formal 2-point amplitudes can be related to the genus-zero contribution to 4-point amplitudes. This is achieved by studying special linear combinations…

Number Theory · Mathematics 2020-04-30 Don Zagier , Federico Zerbini

Beginning with a review of the arguments leading to the so-called c=1 barrier in the continuum formulation of noncritical string theory, the pathology is then exhibited in a discretized version of the theory, formulated through dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

Centre of mass momentum for strings is an important ingredient in the calculation of the spectrum of string theories. It is calculated by the N\"other prescription for two types of conformally invariant effective string theories of the…

High Energy Physics - Theory · Physics 2010-05-27 N. D. Hari Dass

In a recent paper, Balthazar, Rodriguez and Yin found remarkable agreement between the one instanton contribution to the scattering amplitudes of two dimensional string theory and those in the matrix model to the first subleading order. The…

High Energy Physics - Theory · Physics 2021-03-17 Ashoke Sen

We give an example of how conformal field theory methods in worldvolumes of dimension d > 2 could be used to calculate string-like amplitudes. The worldvolume propagator's logarithmic behavior is based on the use of worldvolume superspace…

High Energy Physics - Theory · Physics 2020-12-25 Warren Siegel

We analyze the fixed-angle high-energy ($\alpha' \to \infty$) structure of $n$-point tree-level string amplitudes from complementary perspectives: locally via saddle-point expansions, algebraically via difference equations and their…

High Energy Physics - Theory · Physics 2026-04-10 Xavier Kervyn , Stephan Stieberger

We analyze four and five-point tree-level open string S-matrix amplitudes in the Regge limit, exhibiting some basic features which indicate longitudinal nonlocality, as suggested by light cone gauge calculations of string spreading. Using…

High Energy Physics - Theory · Physics 2015-05-01 Matthew Dodelson , Eva Silverstein

Motivated by new techniques in the computation of scattering amplitudes of massless particles in four dimensions, like BCFW recursion relations, the question of how much structure of the S-matrix can be determined from purely S-matrix…

High Energy Physics - Theory · Physics 2010-08-10 Song He , Hongbao Zhang

S-matrices can be written Lorentz covariantly in terms of free field strengths for vector states, allowing arbitrary gauge choices. In string theory the vertex operators can be chosen so this gauge invariance is automatic. As examples we…

High Energy Physics - Theory · Physics 2009-11-10 Haidong Feng , Warren Siegel

We investigate unoriented strings and superstrings in two dimensions and their dual matrix quantum mechanics. Most of the models we study have a tachyon tadpole coming from the RP^2 worldsheet which needs to be cancelled by a…

High Energy Physics - Theory · Physics 2009-11-10 Jaume Gomis , Anton Kapustin

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…

High Energy Physics - Theory · Physics 2007-05-23 Emil J. Martinec