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DTSTART;TZID=America/New_York:20260309T150000
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DTSTAMP:20260510T115730
CREATED:20260224T160904Z
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SUMMARY:Quantum Field Theory and Physical Mathematics
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Davide Gaiotto (Perimeter Institute)
URL:https://cmsa.fas.harvard.edu/event/qft_3926-2/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260316T150000
DTEND;TZID=America/New_York:20260316T160000
DTSTAMP:20260510T115730
CREATED:20260224T160950Z
LAST-MODIFIED:20260311T180714Z
UID:10003911-1773673200-1773676800@cmsa.fas.harvard.edu
SUMMARY:Finite N indices from branes and negative branes
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Kasia Budzik (Harvard University) \nTitle: Finite N indices from branes and negative branes \nAbstract: Finite-N effects in large-N gauge theories\, such as trace relations\, are expected to be holographically dual to non-perturbative phenomena in string theory\, such as Giant Graviton branes. A convenient setting to study these effects are supersymmetric indices of U(N) gauge theories. The finite-N indices can be reproduced by a series of corrections to the infinite-N result\, known as the Giant Graviton expansion.\nIn this talk I will present a generalization of the Molien-Weyl formula computing generating functions of invariants of supergroups U(N|M)\, which arise as gauge groups of brane/negative brane systems in string theory. The formula leads to a new expansion relating finite-N and infinite-N indices of U(N) gauge theories. I will comment on its relation to Murthy’s Giant Graviton expansion and suggest a physical interpretation in terms of branes and negative branes. This talk is based on arXiv:2509.20451 and work in progress with Davide Gaiotto.
URL:https://cmsa.fas.harvard.edu/event/qft_31626/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.16.26.docx-scaled.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260330T150000
DTEND;TZID=America/New_York:20260330T160000
DTSTAMP:20260510T115730
CREATED:20260126T190411Z
LAST-MODIFIED:20260325T163011Z
UID:10003879-1774882800-1774886400@cmsa.fas.harvard.edu
SUMMARY:K-theoretic stable envelopes\, quantum loop groups and wall-crossings
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Tianqin Zhu\, Columbia University \nTitle: K-theoretic stable envelopes\, quantum loop groups and wall-crossings \nAbstract: The stable envelope is an important tool in both geometric representation theory and the enumerative geometry. One of the most important application is that it generates the geometric quantum loop group via the FRT formalism. In this talk\, we will show that the geometric quantum loop group is isomorphic to the Drinfeld double given by the preprojective K-theoretic Hall algebra and the nilpotent K-theoretic Hall algebra. Moreover we will show a more refined result that the wall-crossing for the K-theoretic stable envelope is controlled by the universal R-matrix for the slope subalgebra of the Drinfeld double\, which leads to the isomorphism between the wall subalgebra in geometric quantum loop groups and the slope subalgebras in the Drinfeld double. If time permits\, I will talk about the recent progress of such isomorphism in the case of the critcial stable envelopes in both critical K-theory and critical cohomology. This is based on the work 2511.02161 \n 
URL:https://cmsa.fas.harvard.edu/event/qft_33026/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.30.26.docx.png
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