3,315 research outputs found
Torus Amplitudes in Minimal Liouville Gravity and Matrix Models
We evaluate one-point correlation numbers on the torus in the Liouville
theory coupled to the conformal matter M(2,2p+1). We find agreement with the
recent results obtained in the matrix model approach.Comment: 10 page
Frobenius manifolds, Integrable Hierarchies and Minimal Liouville Gravity
We use the connection between the Frobrenius manifold and the Douglas string
equation to further investigate Minimal Liouville gravity. We search a solution
of the Douglas string equation and simultaneously a proper transformation from
the KdV to the Liouville frame which ensure the fulfilment of the conformal and
fusion selection rules. We find that the desired solution of the string
equation has explicit and simple form in the flat coordinates on the Frobenious
manifold in the general case of (p,q) Minimal Liouville gravity.Comment: 17 pages; v2: typos removed, some comments added, minor correction
Higher Equations of Motion in N=2 Superconformal Liouville Field Theory
We present an infinite set of higher equations of motion in N=2
supersymmetric Liouville field theory. They are in one to one correspondence
with the degenerate representations and are enumerated in addition to the U(1)
charge \omega by the positive integers m or (m,n) respectively. We check that
in the classical limit these equations hold as relations among the classical
fields.Comment: 11 page
On the N=1 super Liouville four-point functions
We construct the four-point correlation functions containing the top
component of the supermultiplet in the Neveu-Schwarz sector of the N=1 SUSY
Liouville field theory. The construction is based on the recursive
representation for the NS conformal blocks. We test our results in the case
where one of the fields is degenerate with a singular vector on the level 3/2.
In this case, the correlation function satisfies a third-order ordinary
differential equation, which we derive. We numerically verify the crossing
symmetry relations for the constructed correlation functions in the
nondegenerate case.Comment: 23 page
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