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Statut |
Confirmé |
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Série |
LPENS-PH |
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Domaines |
hep-th |
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Date |
Mercredi 17 Septembre 2025 |
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Heure |
14:00 |
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Institut |
LPENS |
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Salle |
L378 |
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Nom de l'orateur |
Mukhopadhyay |
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Prenom de l'orateur |
Ayan |
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Addresse email de l'orateur |
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Institution de l'orateur |
PUCV |
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Titre |
Novel topological phases with non-invertible symmetries, boundary quantum field theories and magic |
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Résumé |
I will discuss novel phases with topological ground state degeneracy in two
dimensional lattices which can be realized by local Hamiltonians with non-
invertible symmetries. These phases defy the entanglement bootstrap axioms which
gapped phases in two-dimensions are expected to satisfy exactly after
application of a finite depth quantum circuit. A class of such phases can be
described in terms of generalized free field theories on the lattice which have
no well defined continuum limit. The excitations of such phases follow
associative, non-commutative and non-Abelian fusion rules given by a non-unital
category capturing the feature that confined quasi-local (fractonic) excitations
profoundly affect the nature of deconfined anyonic excitations. Some of these
phases have non-local magic reflected by the following feature that to create a
pair of deconfined electric/magnetic excitations it requires a large sum of
operators that are products of local quantum operations such that the number of
these operators appearing in the sum grows exponentially with the distance
between the two excitations.
The entanglement spectrum of a bi-partition of these phases can be described by
novel local boundary QFTs although the generalized free field theory describing
the bulk has no well defined continuum limit. Such boundary QFTs have novel
anyonic excitations which cannot be mutually braided with each other. We propose
that the classification of topological phases in two-dimensional lattices should
involve the understanding of the entanglement spectrum and associated boundary
quantum field theories. |
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Numéro de preprint arXiv |
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