3 papers
hep-th2004
AdS_3/CFT_2 on torus in the sum over geometries
L. Chekhov
We investigate the AdS/CFT correspondence for the Euclidean AdS space compactified on a solid torus with the CFT field on the regularizing boundary surface in the bulk.…
nlin.SI2002
Integrable deformations of systems on graphs with loops
L. Chekhov
We find necessary and sufficient conditions for an operator of the fourth order on a graph with loops to admit the (L,A,B)-triple Krichever-Novikov deformation of one energy level.
hep-th1998
AdS/CFT correspondence on torus
L. Chekhov
The AdS/CFT correspondence is established for the case of AdS space compactified on a filled rectangular torus with the CFT field on the boundary.