BPS spectrum of Argyres-Douglas theory via spectral network

Creators: Maruyoshi, Kazunobu; Park, Chan Y.; Yan, Wenbin

Abstract

We study the BPS spectrum of four-dimensional N = 2 superconformal field theory of Argyres-Douglas type, obtained via twisted compactification of six-dimensional A _(N−1) (2, 0) theory on a sphere with an irregular puncture, by using spectral networks. We give strong evidence of the equivalence of N = 2 superconformal field theories from sixdimensional theories of different ranks by systematically comparing the chamber structure and wall-crossing phenomena.

Additional Information

© 2013 SISSA. Published for SISSA by Springer. Received: October 7, 2013. Accepted: November 21, 2013. Published: December 20, 2013. It is a pleasure to thank Yuji Tachikawa for discussions during the early stage of this work, and to Kimyeong Lee, Yu Nakayama, Andy Neitzke, John H. Schwarz, Dan Xie, and Piljin Yi for discussions during the final stage of this work. We thank the organizers of the 2013 Summer Simons Workshop at the SCGP for hospitality while this work was in progress. K.M. and C.Y.P. would also like to thank the organizers of the second "N=2 JAAZ" workshop at McGill University, C.Y.P. would like to thank the organizers of GAP 2013 at the CRM, KIAS, and Kavli IPMU, and K.M. and W.Y. would like to thank the organizers of Kavli IPMU workshop on Gauge and String Theory, where part of this work has been done, for hospitality and support. The work of K.M. is supported by a JSPS postdoctoral fellowship for research abroad. The work of W.Y. is supported in part by the Sherman Fairchild scholarship and by DOE grant DE-FG02-92-ER40701.

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