Davide
Gaiotto
2015-07
articles
https://link.springer.com/10.1007%2FJHEP07%282015%29073
en
research_article
73
https://scigraph.springernature.com/explorer/license/
2015-07-01
2019-04-11T13:08
We construct classes of N=1 superconformal theories elements of which are labeled by punctured Riemann surfaces. Degenerations of the surfaces correspond, in some cases, to weak coupling limits. Different classes are labeled by two integers (N, k). The k = 1 case coincides with AN − 1N=2 theories of class S and simple examples of theories with k > 1 are ℤk orbifolds of some of the AN − 1 class S theories. For the space of N=1 theories to be complete in an appropriate sense we find it necessary to conjecture existence of new N=1 strongly coupled SCFTs. These SCFTs when coupled to additional matter can be related by dualities to gauge theories. We discuss in detail the A1 case with k = 2 using the supersymmetric index as our analysis tool. The index of theories in classes with k > 1 can be constructed using eigenfunctions of elliptic quantum mechanical models generalizing the Ruijsenaars-Schneider integrable model. When the elliptic curve of the model degenerates these eigenfunctions become polynomials with coefficients being algebraic expressions in fugacities, generalizing the Macdonald polynomials with rational coefficients appearing when k = 1.
true
N=1 theories of class Sk
Pure Mathematics
Razamat
Shlomo S.
readcube_id
30ae888b5f796cf69bc463f42bf3a8e7252ff44a5c3356c226c0308c59fb2839
10.1007/jhep07(2015)073
doi
2015
Department of Physics, 32000, Technion, Haifa, Israel
NHETC, Rutgers, 08854, Piscataway, NJ, United States
Rutgers University
Journal of High Energy Physics
1029-8479
1126-6708
7
Mathematical Sciences
Springer Nature - SN SciGraph project
dimensions_id
pub.1010218429
Perimeter Institute
Perimeter Institute for Theoretical Physics, 31 Caroline St., N2L 2Y5, Waterloo, Ontario, Canada