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Non-rational Narain CFTs from codes over F 4
by
Anatoly Dymarsky
, Adar Sharon
in
Conformal Field Theory
/ Field Theories in Lower Dimensions
2021
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Non-rational Narain CFTs from codes over F 4
by
Anatoly Dymarsky
, Adar Sharon
in
Conformal Field Theory
/ Field Theories in Lower Dimensions
2021
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Journal Article
Non-rational Narain CFTs from codes over F 4
2021
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Overview
Abstract We construct a map between a class of codes over F 4 and a family of non-rational Narain CFTs. This construction is complementary to a recently introduced relation between quantum stabilizer codes and a class of rational Narain theories. From the modular bootstrap point of view we formulate a polynomial ansatz for the partition function which reduces modular invariance to a handful of algebraic easy-to-solve constraints. For certain small values of central charge our construction yields optimal theories, i.e. those with the largest value of the spectral gap.
Publisher
SpringerOpen
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