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Exact generalized partition function of 2D CFTs at large central charge. (arXiv:1812.05108v1 [hep-th])
来源于:arXiv
We discuss generalized partition function of 2d CFTs decorated by higher qKdV
charges on thermal cylinder. We propose that in the large central charge limit
qKdV charges factorize such that generalized partition function can be
rewritten in terms of auxiliary non-interacting bosons. The explicit expression
for the generalized free energy is readily available in terms of the boson
spectrum, which can be deduced from the conventional thermal expectation values
of qKdV charges. In other words, the picture of the auxiliary non-interacting
bosons allows extending thermal one-point functions to the full
non-perturbative generalized partition function. We verify this conjecture for
the first seven qKdV charges using recently obtained pertrubative results and
find corresponding contributions to the auxiliary boson masses. We further
extend these results by conjecturing the full spectrum of bosons and find an
exact expression for the generalized partition function as a function of
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