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Status |
Confirmed |
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Seminar Series |
SEM-INFOR |
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Subjects |
cond-mat.mes-hall |
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Date |
Tuesday 5 July 2022 |
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Time |
15:00 |
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Institute |
LPTMC |
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Seminar Room |
Jussieu towers 12/13 room 523 (5th floor) |
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Speaker's Last Name |
Nussinov |
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Speaker's First Name |
Zohar |
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Speaker's Email Address |
zohar [at] wustl [dot] edu |
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Speaker's Institution |
Washington University in St Louis |
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Title |
D-dimensional gauge like symmetries, dualities, and topological orders |
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Abstract |
We introduce and discuss aspects of "d-dimensional gauge-like symmetries" (also often referred to as "higher" or
"subsystem symmetries''). We show how such symmetries may lead to dimensional reductions. In particular, we discuss the
effects of thermal fluctuations using a generalization of Elitzur's theorem. We describe how these symmetries can lead to
topological orders and illustrate that, depending on the system geometry, there are both quantum and classical systems that
have degeneracies that depend on the system topology or are exponentially large in the system boundary area. We will then
briefly discuss the "bond algebraic" approach to dualities and explain why dualities are often conformal. Using this approach,
we illustrate that the nearest neighbor "XXZ honeycomb compass" (a two component (XY) analog of the Kitaev model on the
honeycomb lattice) and square lattice Majorana Hubbard model both exhibit exact 3D Ising type transitions. With these
dualities, we compute the free energies of the X-cube model and other topologically ordered systems.
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