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SUMMARY:Daniel Kapec (IAS Princeton)
DTSTART:20211019T193000Z
DTEND:20211019T204500Z
DTSTAMP:20260423T024551Z
UID:HET/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HET/17/">Sha
 dows and Soft Exchange in Celestial CFT</a>\nby Daniel Kapec (IAS Princeto
 n) as part of Purdue HET\n\n\nAbstract\nI will discuss exponentiated soft 
 exchange in (d+2)-dimensional gauge and gravitational theories using the c
 elestial CFT formalism. These models exhibit spontaneously broken asymptot
 ic symmetries generated by gauge transformations with non-compact support\
 , and the effective dynamics of the associated Goldstone “edge” mode i
 s expected to be d-dimensional. The introduction of an infrared regulator 
 also explicitly breaks these symmetries so the edge mode in the regulated 
 theory is really a d-dimensional pseudo-Goldstone boson. Symmetry consider
 ations determine the leading terms in the effective action\, whose coeffic
 ients are controlled by the infrared cutoff. Computations in this model re
 produce the abelian infrared divergences in d=2\, and capture the re-summe
 d (infrared finite) soft exchange in higher dimensions. The model also rep
 roduces the leading soft theorems in gauge and gravitational theories in a
 ll dimensions. Interestingly\, we find that it is the shadow transform of 
 the Goldstone mode that has local d-dimensional dynamics: the effective ac
 tion expressed in terms of the Goldstone mode is non-local for d>2. The an
 alysis demonstrates that symmetry principles suffice to calculate soft exc
 hange in gauge theory and gravity.\n
LOCATION:https://researchseminars.org/talk/HET/17/
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