April 20, 2026 | 11:00am - 12:00pm
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04/20/2026 11:00
04/20/2026 12:00
IAS CMP/QFT Group Meeting
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Topic: Global Symmetries, Codes, and CFTs
Speakers: Anatoly Dymarsky, Institute for Advanced Study
Affiliation: University of Kentucky
More: https://www.ias.edu/sns/events/ias-cmpqft-group-meeting-29
ABSTRACT: This talk explores the connection between global symmetries
and the theory of classical and quantum error-correcting codes. When
the symmetry is Abelian, we show that classical isotropic
(self-orthogonal) codes emerge naturally as non-anomalous subgroups of
the global symmetry. Gauging this symmetry, equivalently, the Abelian
anyon condensation in the associated SymTFT, is then described in the
language of quantum stabilizer codes. The code-based picture
highlights the role of modular invariance in the SymTFT framework,
providing an efficient way to count all Lagrangian subgroups and, in
2d, establishing a direct connection with the modular bootstrap
program.
In the second part of the talk, I present ongoing work extending the
connection to codes beyond the Abelian setting. I will formulate a
conjecture that the Lagrangian algebra objects can be defined as
modular invariants at asymptotically high genus, and use it to count
the Lagrangian algebra objects in tensor powers of the Ising modular
tensor category.
Bloomberg Lecture Hall (IAS)
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