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SUMMARY:Witten\, Cardy\, and the Holonomy Saddle - Piljin Yi (KIAS)
DTSTART:20190307T120000Z
DTEND:20190307T130000Z
UID:TALK117088@talks.cam.ac.uk
CONTACT:Dr. Carl Turner
DESCRIPTION:This talk will explore topological invariants of susy\ngauge t
 heories\, with some emphasis on index-like\nquantities and the notion of h
 olonomy saddles.\n\nWe start with 1d refined Witten index computations whe
 re the twisted partition functions typically show\nrational\, rather than 
 integral\, behavior. We will explain how this oddity is a blessing in disg
 uise and propose a universal tool for extracting the truely enumerative Wi
 tten indices. In part\, this finally put to the rest a two-decade-old boun
 d state problems which had\noriginated from the M-theory hypothesis.\n\nAl
 ong the way\, we resolve an old and critical conflict between Kac+Smilga a
 nd Staudacher/Pestun\, circa\n1999~2002\, whereby the notion of holonomy s
 addles\nemerges and plays a crucial role. More importantly\,\nthe holonomy
  saddle prove to be universal features\nof supersymmetric gauge theories w
 hen the spacetime\ninclude a small circle. We explore them further for\nd=
 4\, N=1 theories\, with much ramifications on recent\nclaims on Cardy expo
 nents of their partition functions.
LOCATION:Potter Room (first floor\, Pav. B)
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