The Annular Report on Non-Critical String Theory

By E. Martinec. 2003

158 citations recorded by the source corpus.

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 matrix model. Two well-known matrix model results are reproduced precisely using the worldsheet formulation: (1) the correlation function of two macroscopic loops, and (2) the leading non-perturbative effects. The latter identifies the eigenvalue instanton amplitudes of the matrix approach with disk instantons of the worldsheet approach, thus demonstrating that the matrix model is the effective dynamics of a D-brane realization of $d\le 1$ non-critical string theory. In the context of string theory above the critical dimension, i.e. $d\ge 25$, Liouville field theory realizes two-dimensional de Sitter gravity on the worldsheet. In this case, appropriate D-brane boundary conditions on the annulus realize the S-matrix for two-dimensional de Sitter gravity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2e7513ec65460053b8efd77670e391d5eea94235

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Citations in the corpus

Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c = 1 Matrix Models (2009, background): “y, parameterized by the pair of integers (m,n), and are localized at φ = ∞. At the quantum level FZZT and ZZboundaryconditions, or, respectively, the hBs| and hB(m,n)| boundary states, are related as [65, 66, 67] hB(m,n)| = hBs(m,n)| −hBs(m,−n)|, with s(m,n) = i m b +bn . (3.65) Both types of brane”
The tachyon at the end of the universe (2005, methodology): “We employ and extend the methods of [18-24] to perform systematic string theoretic calculations of amplitudes exhibiting this effect in our temporally but not spatially localized case.”
Rolling tachyons from Liouville theory (2003, unknown): “incorporated due to the duality with matrix models [14, 15 , 16, 17].”
A matrix model dual of type 0B string theory in two dimensions (2003, background): “nditions along the Liouville direction, and Dirichlet conditions for the Euclidean time direction X0. From the point of view of the Lorenztian theory, these objects are Dinstantons. In a recent paper [34], it is proposed that such branes in the bosonic string are described by macroscopic loop operat”
Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings (2007, background): “In the dual string theory, these effects were later identified as D–instanton effects [ 10 , 11] due to the so–called ZZ branes [12], and it was shown in [10, 13] that a direct D–brane calculation reproduces the instanton action obtained from the double–scaled matrix model.”
Liouville Field Theory — A decade after the revolution (2004, background): “First, as has been noticed by Martinec [159], the (m,n) boundary states are formally related to the FZZT boundary states as |m,n〉 = |FZZT; s(m,n)〉 − |FZZT; s(m,−n)〉, (5.”
Exact vs. semiclassical target space of the minimal string (2004, background): “In [ 18-21 ,26], the matrix M of the one-matrix model was interpreted as describing the”