The Kontsevich connection on the moduli space of FZZT Liouville branes

@article{Giusto2004TheKC,
  title={The Kontsevich connection on the moduli space of FZZT Liouville branes},
  author={Stefano Giusto and Camillo Imbimbo},
  journal={Nuclear Physics},
  year={2004},
  volume={704},
  pages={181-207}
}

Figures from this paper

Open/closed string duality for topological gravity with matter

The exact FZZT brane partition function for topological gravity with matter is computed using the dual two-matrix model. We show how the effective theory of open strings on a stack of FZZT branes is

Riemann Hypothesis, Matrix/Gravity Correspondence and FZZT Brane Partition Functions

We investigate the physical interpretation of the Riemann zeta function as a FZZT brane partition function associated with a matrix/gravity correspondence. The Hilbert-Polya operator in this

On the quantum geometry of multi-critical CDT

A bstractWe discuss extensions of a recently introduced model of multi-critical CDT to higher multi-critical points. As in the case of pure CDT the continuum limit can be taken on the level of the

Open/closed duality for FZZT branes in c = 1

We describe how the matrix integral of Imbimbo and Mukhi arises from a limit of the FZZT partition function in the double-scaled c = 1 matrix model. We show a similar result for 0A and comment on

Minimal superstrings and loop gas models

We reformulate the matrix models of minimal superstrings as loop gas models on random surfaces. In the continuum limit, this leads to the identification of minimal superstrings with certain bosonic

Riemann Hypothesis and Master Matrix for FZZT Brane Partition Functions

We continue to investigate the physical interpretation of the Riemann zeta function as a FZZT brane partition function associated with a matrix/gravity correspondence begun in arxiv:0708.0645. We

APPLICATION OF NON-CRITICAL STRING THEORY TO NON-PERTURBATIVE PHYSICS AND OPEN-CLOSED STRING DUALITY

The critical string theory has supersymmetry, and is a quantum theory of supergravity coupled to supersymmetric matter. Moreover, the interaction between the particle-like string excitations closely

Minimal AdS(3)

We show that Type IIB string theory on AdS3 × S ×M4 with p units of NS flux contains an integrable subsector, isomorphic to the minimal (p, 1) bosonic string. To this end, we construct a topological

References

SHOWING 1-10 OF 24 REFERENCES

Exact vs. semiclassical target space of the minimal string

We study both the classical and the quantum target space of (p,q) minimal string theory, using the FZZT brane as a probe. By thinking of the target space as the moduli space of FZZT branes,

A paradigm of open/closed duality Liouville D-branes and the Kontsevich model

We argue that topological matrix models (matrix models of the Kontsevich type) are examples of exact open/closed duality. The duality works at finite N and for generic 't Hooft couplings. We consider

A matrix integral solution to two-dimensionalWp-gravity

AbstractThepth Gel'fand-Dickey equation and the string equation [L, P]=1 have a common solution τ expressible in terms of an integral overn×n Hermitean matrices (for largen), the integrand being a

Liouville D-branes in Two-Dimensional Strings and Open String Field Theory

We study open strings in the noncritical $c=1$ bosonic string theory compactified on a circle at self-dual radius. These strings live on D-branes that are extended along the Liouville direction ({\it

Topological Strings and Integrable Hierarchies

We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using -algebra symmetries which encode the symmetries of holomorphic

Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

We develop techniques to compute higher loop string amplitudes for twistedN=2 theories withĉ=3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in

Large marginal deformations in string field theory

We use the level truncation scheme to obtain accurate descriptions of open bosonic string field configurations corresponding to large marginal deformations such as background Wilson lines. To do so,

Energy momentum tensor and marginal deformations in open string field theory

Marginal boundary deformations in a two dimensional conformal field theory correspond to a family of classical solutions of the equations of motion of open string field theory. In this paper we

Topological matrix models, Liouville matrix model and c = 1 string theory

This is a review of some beautiful matrix models related to the moduli space of Riemann surfaces as well as to noncritical c=1 string theory at self-dual radius. These include the Penner model and