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Math/Physics Seminar: An Introduction to Decomposition

Event Type
Seminar/Symposium
Sponsor
n/a
Virtual
wifi event
Date
Feb 3, 2022   1:00 pm  
Speaker
Eric Sharpe, Virginia Tech
Contact
Sheldon Katz
E-Mail
katzs@illinois.edu
Views
42

Abstract: In this talk I will review work on `decomposition,' a property of 2d quantum field theories with 1-form symmetries and, more generally, d-dim'l theories with (d-1)-form symmetries.  Decomposition is the observation that such quantum field theories are equivalent to ('decompose into’) disjoint unions of other QFTs, known in this context as "universes.”

Examples include two-dimensional gauge theories and orbifolds with matter invariant under a subgroup of the gauge group. Decomposition explains and relates several physical properties of these theories -- for example, restrictions on allowed instantons arise as a "multiverse interference effect" between contributions from constituent universes. First worked out in 2006 as part of efforts to understand string propagation on stacks, decomposition has been the driver of a number of developments since. In the first half of this talk, I will review decomposition; in the second half, I will focus on the recent application to anomaly resolution of Wang-Wen-Witten in two-dimensional orbifolds.

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