New Results in 4D N=2 Superconformal Field Theories
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University of Cincinnati / OhioLINK
2009
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ndltd-OhioLink-oai-etd.ohiolink.edu-ucin12408537822021-08-03T06:13:08Z New Results in 4D N=2 Superconformal Field Theories Wittig, John Rudolph, Jr. Physics particle physics supersymmetry We study the classification of 2-dimensional scale-invariant rigid special Kahler (RSK) geometries, which potentially describe the Coulomb branches of <i>N=2</i> 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 <i>G</i><i><sub>2</sub></i> 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 <i>N = 2</i> 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 <i>E</i><i><sub>6</sub></i>, <i>E</i><i><sub>7</sub></i>, and <i>E</i><i><sub>8</sub></i> 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 <i>N = 2</i> conformal theories with marginal couplings but no weak-coupling limits. 2009-07-16 English text University of Cincinnati / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ucin1240853782 http://rave.ohiolink.edu/etdc/view?acc_num=ucin1240853782 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
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NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Physics particle physics supersymmetry |
| spellingShingle |
Physics particle physics supersymmetry Wittig, John Rudolph, Jr. New Results in 4D N=2 Superconformal Field Theories |
| author |
Wittig, John Rudolph, Jr. |
| author_facet |
Wittig, John Rudolph, Jr. |
| author_sort |
Wittig, John Rudolph, Jr. |
| title |
New Results in 4D N=2 Superconformal Field Theories |
| title_short |
New Results in 4D N=2 Superconformal Field Theories |
| title_full |
New Results in 4D N=2 Superconformal Field Theories |
| title_fullStr |
New Results in 4D N=2 Superconformal Field Theories |
| title_full_unstemmed |
New Results in 4D N=2 Superconformal Field Theories |
| title_sort |
new results in 4d n=2 superconformal field theories |
| publisher |
University of Cincinnati / OhioLINK |
| publishDate |
2009 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1240853782 |
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AT wittigjohnrudolphjr newresultsin4dn2superconformalfieldtheories |
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