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Solutions of modular bootstrap constraints from quantum codes | | Anatoly Dymarsky
; Alfred Shapere
; | | Date: |
2 Sep 2020 | | Abstract: | Modular invariance imposes rigid constrains on the partition functions of
two-dimensional conformal field theories. Many fundamental results follow
strictly from modular invariance, giving rise to the numerical modular
bootstrap program. Here we report a way to assign to a particular family of
quantum error correcting codes a family of "code CFTs" -- a subset in the space
of Narain CFTs. This relation reduces modular invariance of the 2d CFT
partition function to simple algebraic relations at the level of a multivariate
polynomial characterizing the corresponding code. Using this relation we
construct many explicit examples of physically distinct isospectral theories,
as well as many examples of non-holomorphic functions, which satisfy all basic
properties of the 2d CFT partition function, yet are not associated with any
known theory. | | Source: | arXiv, 2009.01236 | | Services: | Forum | Review | PDF | Favorites | |
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