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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
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Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
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News
News
Announcement
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > BIMSA Lecture Spectrum Degeneracies in models with O(N) symmetry from Quantum Evanescence
Spectrum Degeneracies in models with O(N) symmetry from Quantum Evanescence
Organizer
Wei Cui
Speaker
Weiguang Cao
Time
Monday, February 26, 2024 3:00 PM - 4:00 PM
Venue
A3-1-301
Online
Zoom 230 432 7880 (BIMSA)
Abstract
In this talk, I will identify degeneracies in the energy spectra of quantum theories that occur at integer values of the continuous parameter N of an analytically continued global O(N) symmetry. I will first present a few examples in the critical O(N) CFT at the Wilson-Fisher fixed point (d=4-epsilon) at the first order of epsilon-expansion. Then I will argue the degeneracies happen for general theories with O(N) symmetry by analytically continuing the character of irreducible representation (irrep) of O(N) and then matching the partition function at integer values of N. We give a specialization rule of the character of continued irreps of O(N) for every integer N. The degeneracies are enforced by the requirement that evanescent states, carrying different irreps of the analytic continuation of O(N), fall out of the spectrum in the partition function via pair annihilation. Therefore the degeneracies also hold non-perturbatively.
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