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DTSTART;TZID=America/New_York:20260504T150000
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DTSTAMP:20260701T010905
CREATED:20260126T190454Z
LAST-MODIFIED:20260430T170629Z
UID:10003880-1777906800-1777910400@cmsa.fas.harvard.edu
SUMMARY:Twisted D-branes and TQFTs valued in Calabi-Yau categories
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Surya Raghavendran\, Yale University \nTitle: Twisted D-branes and TQFTs valued in Calabi-Yau categories \nAbstract: Recently\, Bozec–Calaque–Scherotzke have articulated a noncommutative version of the AKSZ construction\, which associates to a smooth Calabi–Yau category a fully extended TQFT valued in a category of iterated Calabi–Yau cospans. In this talk\, I will study a class of examples of such theories which arise in the context of conjectures of Costello and Li\, which describe Type II strings in certain Ramond–Ramond backgrounds as topological strings. These TQFTs capture structural features of the BPS physics of D-branes that are universal in Chan–Paton factors. Conjecturally commutative limits of the values of such theories on closed manifolds can sometimes be geometrically quantized to yield algebraic structures with Hall-type products. Examples of this paradigm include CoHAs associated to complex 3-folds\, CoHAs attached to local systems on 3-manifolds\, and the categorified Hall algebras of Porta–Sala.
URL:https://cmsa.fas.harvard.edu/event/qft_5426/
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-5.4.26.docx.edit_-scaled.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260511T150000
DTEND;TZID=America/New_York:20260511T160000
DTSTAMP:20260701T010905
CREATED:20260409T140454Z
LAST-MODIFIED:20260506T201809Z
UID:10003931-1778511600-1778515200@cmsa.fas.harvard.edu
SUMMARY:When do anomalous finite symmetries in (3+1)d enforce gaplessness?
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Matthew Yu (University of Oxford) \nTitle: When do anomalous finite symmetries in (3+1)d enforce gaplessness? \nAbstract: I will explain a comprehensive framework for characterizing the infrared (IR) phases of a fermionic QFTs in (3+1)d\, based on their quantum anomalies associated with a finite symmetry. We uncover a fundamental dichotomy among these anomalies: the first class of anomalies can always be realized by symmetric gapped states\, while the second class can never be realized by gapped states without breaking the given symmetry\, establishing the phenomenon of symmetry-enforced gaplessness in these settings. Using the construction of symmetry extension afforded to us by new developments in fusion 2-categories\, we construct the candidate gapped states that theories with the first class of anomalies can flow to in the IR. As an application\, I will provide examples of concrete predictions for the candidate IR phases of (3+1)d gauge theories based on our results. \n 
URL:https://cmsa.fas.harvard.edu/event/qft_51126/
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:20260518T150000
DTEND;TZID=America/New_York:20260518T160000
DTSTAMP:20260701T010905
CREATED:20260413T151244Z
LAST-MODIFIED:20260514T185707Z
UID:10003933-1779116400-1779120000@cmsa.fas.harvard.edu
SUMMARY:Abelian duality via derived geometry
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Owen Gwilliam\, UMass Amherst \nTitle: Abelian duality via derived geometry \nAbstract: We discuss how to synthesize differential cohomology and the BV formalism to describe generalized Maxwell theories (or abelian p-form gauge theories)\, and how this framework allows a succinct formulation of abelian duality. Given time\, we will discuss how these methods apply to the 6d self-dual 2-form gauge theory that appears as part of the 6d N=(1\,0) and (2\,0) superconformal theories known as abelian tensor multiplets. This is joint work in progress with Chris Elliott\, Ingmar Saberi\, and Brian Williams. \n 
URL:https://cmsa.fas.harvard.edu/event/qft_51826/
LOCATION:CMSA Room G02\, 20 Garden Street\, Cambridge\, MA\, 02138
CATEGORIES:Quantum Field Theory and Physical Mathematics
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