Twisted and exceptional Tinkertoys for Gaiotto duality - INSPIRE

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Twisted and exceptional Tinkertoys for Gaiotto duality

Anderson Daniel Trimm
(
- Texas U.
)

May, 2015

388 pages

Supervisor:

Jacques Distler

Thesis: PhD

Texas U.

(2015)

Published: May, 2015

URN/HDL:

2152/31583

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Abstract: (Texas U.)

A large class of 4d N = 2 superconformal field theories arise as compactifications of a 6d (2, 0) theory of type j = A, D, E on a punctured Riemann surface, C. These theories can be classified by listing the allowed fixtures and cylinders which can occur in a pants decomposition of C, and giving the rules for gluing them together. Different pants decompositions of the same surface give different weakly-coupled presentations of the same underlying SCFT, related by S-duality. An even larger class of theories can be constructed in this way by including "twisted" punctures, which carry a non-trivial action of the outer-automorphism group of j. In this dissertation, we discuss the classification procedure for twisted theories of type D [subscript N] , as well as for twisted and untwisted theories of type E₆. Using these results, we write the Seiberg-Witten solutions for all Spin(n) gauge theories with matter in spinor representations which can be realized by compactifying the (2, 0) theory. We also study a family of SCFTs arising from the twisted A [subscript 2N] series, whose twisted punctures are still not fully-understood.

SCFT
S-duality
field theory: conformal
spinor: representation
n: spin
twist
compactification
S-duality
gauge field theory
Riemann surface

References(79)

Figures(0)

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