Journal of High Energy Physics

, 2011:99

On Arnold’s 14 ‘exceptional’ \( \mathcal{N} = 2 \) superconformal gauge theories


DOI: 10.1007/JHEP10(2011)099

Cite this article as:
Cecotti, S. & Del Zotto, M. J. High Energ. Phys. (2011) 2011: 99. doi:10.1007/JHEP10(2011)099


We study the four-dimensional superconformal \( \mathcal{N} = 2 \) gauge theories engineered by the Type IIB superstring on Arnold’s 14 exceptional unimodal singularities (a.k.a. Arnold’s strange duality list), thus extending the methods of arXiv:1006.3435 to singularities which are not the direct sum of minimal ones. In particular, we compute their BPS spectra in several ‘strongly coupled’ chambers.

From the TBA side, we construct ten new periodic Y-systems, providing additional evidence for the existence of a periodic Y-system for each isolated quasi-homogeneous singularity with ĉ < 2 (more generally, for each \( \mathcal{N} = 2 \) superconformal theory with a finite BPS chamber whose chiral primaries have dimensions of the form \( {{\mathbb{N}} \left/ {\ell } \right.} \)).


Supersymmetric gauge theory Nonperturbative Effects Bethe Ansatz 

Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  1. 1.SISSA, Scuola Internazionale Superiore di Studi AvanzatiTriesteItaly

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