Tinkertoys for the E7 theory View Full Text


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Article Info

DATE

2018-05

AUTHORS

Oscar Chacaltana, Jacques Distler, Anderson Trimm, Yinan Zhu

ABSTRACT

We classify the class S theories of type E7. These are four-dimensional N=2 superconformal field theories arising from the compactification of the E7 (2, 0) theory on a punctured Riemann surface, C. The classification is given by listing all 3-punctured spheres (“fixtures”), and connecting cylinders, which can arise in a pants-decomposition of C. We find exactly 11,000 fixtures with three regular punctures, and an additional 48 with one “irregular puncture” (in the sense used in our previous works). To organize this large number of theories, we have created a web application at https://golem.ph.utexas.edu/class-S/E7/. Among these theories, we find 10 new ones with a simple exceptional global symmetry group, as well as a new rank-2 SCFT and several new rank-3 SCFTs. As an application, we study the strong-coupling limit of the E7 gauge theory with 3 hypermultiplets in the 56. Using our results, we also verify recent conjectures that the T2 compactification of certain 6d (1, 0) theories can alternatively be realized in class S as fixtures in the E7 or E8 theories. More... »

PAGES

31

References to SciGraph publications

  • 2007-10. An Index for 4 Dimensional Super Conformal Theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2015-08. Seiberg-Witten for Spin(n) with spinors in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2012-05. Exceptional indices in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-10. 6d, N=1,0 Coulomb branch anomaly matching in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-03. 4d N =2 theories with disconnected gauge groups in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-07. 6d N=10 theories on T2 and class S theories. Part I in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2012-08. N = 2 dualities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-04. Tinkertoys for the twisted D-series in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-11. Geometric engineering, mirror symmetry and 6d10→4dN=2 in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-04. Gauge Theories and Macdonald Polynomials in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2015-09. Tinkertoys for the E6 theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-02. Tinkertoys for the DN series in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-05. The superconformal index of class theories of type D in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-05. Gaiotto duality for the twisted A2N −1 series in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-11. Classification of 6d N=10 gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-12. 6d N=1,0 theories on S1/T2 and class S theories: part II in JOURNAL OF HIGH ENERGY PHYSICS
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