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ucin1240853782.pdf (420.4 KB)
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New Results in 4D N=2 Superconformal Field Theories
Author Info
Wittig, John Rudolph, Jr.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1240853782
Abstract Details
Year and Degree
2009, PhD, University of Cincinnati, Arts and Sciences : Physics.
Abstract
We study the classification of 2-dimensional scale-invariant rigid special Kahler (RSK) geometries, which potentially describe the Coulomb branches of
N=2
supersymmetric field theories in four dimensions. We show that this classification is equivalent to the solution of a set of polynomial equations by using an integrability condition for the central charge, scale invariance, constraints coming from demanding single-valuedness of physical quantities on the Coulomb branch, and properties of massless BPS states at singularities. We find solutions corresponding to lagrangian scale invariant theories – including the scale invariant
G
2
theory not found before in the literature – as well as many new isolated solutions (having no marginal deformations). All our scale-invariant RSK geometries are consistent with an interpretation as effective theories of
N = 2
superconformal field theories, and, where we can check, turn out to exist as quantum field theories. Then, we show that a proposed duality between infinitely coupled gauge theories and superconformal field theories (SCFTs) with weakly gauged flavor groups predicts the existence of new rank 1 SCFTs. These superconformal fixed point theories have the same Coulomb branch singularities as the rank 1
E
6
,
E
7
, and
E
8
SCFTs, but have smaller flavor symmetry algebras and different central charges. Gauging various subalgebras of the flavor algebras of the rank 1 SCFTs provides many examples of infinite-coupling dualities, satisfying an intricate set of consistency checks. They also provide examples of
N = 2
conformal theories with marginal couplings but no weak-coupling limits.
Committee
Philip Argyres, PhD (Committee Chair)
Brian Meadows, PhD (Committee Member)
Michael Ma, PhD (Committee Member)
Rohana Wijewardhana, PhD (Committee Member)
Pages
101 p.
Subject Headings
Physics
Keywords
particle physics
;
supersymmetry
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Citations
Wittig, Jr., J. R. (2009).
New Results in 4D N=2 Superconformal Field Theories
[Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1240853782
APA Style (7th edition)
Wittig, Jr., John.
New Results in 4D N=2 Superconformal Field Theories.
2009. University of Cincinnati, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1240853782.
MLA Style (8th edition)
Wittig, Jr., John. "New Results in 4D N=2 Superconformal Field Theories." Doctoral dissertation, University of Cincinnati, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1240853782
Chicago Manual of Style (17th edition)
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Document number:
ucin1240853782
Download Count:
512
Copyright Info
© 2009, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.