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SUMMARY:On the KZ--BPZ Correspondence for Painleve II
DTSTART:20261029T071000Z
DTEND:20261029T081000Z
DTSTAMP:20261027T164500Z
UID:indico-event-31253@indico.ihep.ac.cn
DESCRIPTION:Speakers: Babak Haghighat (Tsinghua University)\n\nWe construc
 t an irregular KZ--BPZ correspondence for quantum Painlev\\'e II from a ra
 nk-three Wakimoto--Whittaker module. The irregular KZ equation and the qua
 ntum isomonodromy equation form a joint affine system whose Drinfeld--Soko
 lov reduction yields scalar BPZ equations. We obtain matrix-integral solut
 ions of this system for one fundamental insertion. An exact quantum Langla
 nds duality exchanges the fundamental insertion with the zero of the dual 
 Whittaker differential and allows affine solutions to be reconstructed fro
 m the BPZ equations. This duality interchanges the classical and Nekrasov-
 -Shatashvili limits\, which yield the Painlev\\'e-II Lax connection and an
  irregular Gaudin oper\, respectively.Bio:Babak Haghighat is an Associate 
 Professor at the Yau Mathematical Science Center\, Tsinghua University\, w
 here he has been a faculty member of the String Theory Group since 2016. H
 e studied at the University of Bonn\, completing his Ph.D. there in 2010 u
 nder the supervision of Albrecht Klemm\, before holding postdoctoral posit
 ions at ITF Utrecht and at Harvard University (in both the Physics and Mat
 hematics Departments). His research spans diverse aspects of superconforma
 l field theories in various dimensions and their connections to string and
  topological string theory\, sitting at the interface of physics and mathe
 matics and touching on moduli spaces\, algebraic and enumerative geometry\
 , and modular and automorphic forms\, while on the physics side addressing
  perturbative and non-perturbative aspects of supersymmetric quantum field
  theories and their observables. More recently\, his work has focused on t
 opological quantum field theories in low dimensions\, their connections to
  2d CFT and topological phases of matter\, and—mathematically—to repre
 sentation theory\, fusion categories\, and knot invariants. \n\nhttps://i
 ndico.ihep.ac.cn/event/31253/
LOCATION:B105 (CHEP)
URL:https://indico.ihep.ac.cn/event/31253/
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