We continue the study of (q, p) Minimal Liouville Gravity with the help of Douglas string equation. We generalize the results of [1,2], where Lee-Yang series (2, 2s + 1) was studied, to (3, 3s + p 0) Minimal Liouville Gravity, where p 0 = 1, 2. We demonstrate that there exist such coordinates τ m,n on the space of the perturbed Minimal Liouville Gravity theories, in which the partition function of the theory is determined by the Douglas string equation. The coordinates τ m,n are related in a non-linear fashion to the natural coupling constants λ m,n of the perturbations of Minimal Lioville Gravity by the physical operators O m,n . We find this relation from the requirement that the correlation numbers in Minimal Liouville Gravity must satisfy the conformal and fusion selection rules. After fixing this relation we compute three- and four-point correlation numbers when they are not zero. The results are in agreement with the direct calculations in Minimal Liouville Gravity available in the literature [3-5]. © 2014 The Author(s).
|Titolo:||Minimal Liouville gravity correlation numbers from Douglas string equation|
|Autori:||Belavin, A.; Dubrovin, B.; Mukhametzhanov, B.|
|Data di pubblicazione:||2014|
|Numero di Articolo:||A156|
|Digital Object Identifier (DOI):||10.1007/JHEP01(2014)156|
|Fulltext via DOI:||10.1007/JHEP01(2014)156|
|Appare nelle tipologie:||1.1 Journal article|