
Infinite circumference limit of conformal field theoryInfinite circumference limit of conformal field theoryAA12185372 
"/Ishibashi, Nobuyuki/"Ishibashi, Nobuyuki ,
"/Tada, Tsukasa/"Tada, Tsukasa
48
(
31
)
, p.315402 , 201508 , IOP Publishing Ltd
ISSN:17518113
NCID:AA12185372
Description
We argue that an infinite circumference limit can be obtained in twodimensional conformal field theory by adopting L0 − (L1 + L−1) /2 as a Hamiltonian instead of L0. The theory obtained has a circumference of infinite length and hence exhibits a continuous and heavily degenerated spectrum as well as the continuous Virasoro algebra. The choice of this Hamiltonian was inspired partly by the socalled sinesquare deformation, which is found in the study of a certain class of quantum statistical systems. The enigmatic behavior of sinesquare deformed systems such as the sharing of their vacuum states with the closed boundary systems can be understood by the appearance of an infinite circumference.
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