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Title: Classification of Argyres-Douglas theories from M5 branes

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Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 6; Related Information: CHORUS Timestamp: 2016-09-12 18:11:33; Journal ID: ISSN 2470-0010
American Physical Society
Country of Publication:
United States

Citation Formats

Wang, Yifan, and Xie, Dan. Classification of Argyres-Douglas theories from M5 branes. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.065012.
Wang, Yifan, & Xie, Dan. Classification of Argyres-Douglas theories from M5 branes. United States. doi:10.1103/PhysRevD.94.065012.
Wang, Yifan, and Xie, Dan. 2016. "Classification of Argyres-Douglas theories from M5 branes". United States. doi:10.1103/PhysRevD.94.065012.
title = {Classification of Argyres-Douglas theories from M5 branes},
author = {Wang, Yifan and Xie, Dan},
abstractNote = {},
doi = {10.1103/PhysRevD.94.065012},
journal = {Physical Review D},
number = 6,
volume = 94,
place = {United States},
year = 2016,
month = 9

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.94.065012

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  • We present superconformal indices of 4d N = 2 class S theories with certain irregular punctures called type I k,N. This class of theories include generalized Argyres-Douglas theories of type (A k-1, A N-1) and more. We conjecture the superconformal indices in certain simplifi ed limits based on the TQFT structure of the class S theories by writing an expression for the wave function corresponding to the puncture I k,N. We write the Schur limit of the wave function when k and N are coprime. When k = 2, we also conjecture a closed-form expression for the Hall-Littlewood index andmore » the Macdonald index for odd N. From the index, we argue that certain short-multiplet which can appear in the OPE of the stress-energy tensor is absent in the (A 1,A 2n) theory. In addition, we discuss the mixed Schur indices for the N = 1 class S theories with irregular punctures.« less
  • Here we conjecture closed-form expressions for the Macdonald limits of the superconformal indices of the (A 1,A 2n₋3) and (A 1,D 2n) Argyres-Douglas (AD) theories in terms of certain simple deformations of Macdonald polynomials. As checks of our conjectures, we demonstrate compatibility with two S-dualities, we show symmetry enhancement for special values of n, and we argue that our expressions encode a non-trivial set of renormalization group flows. Moreover, we demonstrate that, for certain values of n, our conjectures imply simple operator relations involving composites built out of the SU(2) R currents and flavor symmetry moment maps, and we findmore » a consistent picture in which these relations give rise to certain null states in the corresponding chiral algebras. In addition, we show that the Hall-Littlewood limits of our indices are equivalent to the corresponding Higgs branch Hilbert series. We explain this fact by considering the S 1 reductions of our theories and showing that the equivalence follows from an inequality on monopole quantum numbers whose coefficients are fixed by data of the four-dimensional parent theories. Finally, we comment on the implications of our work for more general $N = 2$ superconformal field theories.« less
  • We determine the low-energy description of N=2 supersymmetric {Pi}{sub i} SU(k{sub i}) gauge theories with bifundamental and fundamental matter based on M-theory five-brane configurations. The dependence on moduli and scales of the coefficients in the nonhyperelliptic Seiberg-Witten curves for these theories are determined by considering various field theory and brane limits. A peculiarity in the interpretation of these curves for the vanishing {beta}-function case is noted. {copyright} {ital 1998} {ital The American Physical Society}
  • We present brane constructions in type-IIA string theory for N=1 supersymmetric SO and Sp gauge theories with tensor representations using an orientifold six-plane. One limit of these setups corresponds to N=2 theories previously constructed by Landsteiner and Lopez, while a different limit yields N=1 SO or Sp theories with a massless tensor and no superpotential. For the Sp-type orientifold projection, a comparison with the field-theory moduli space leads us to postulate two new rules governing the stability of configurations of D-branes intersecting the orientifold. Lifting one of our configurations to M theory by finding the corresponding curves, we rederive themore » N=1 dualities for SO and Sp groups using semi-infinite D4 branes. {copyright} {ital 1998} {ital The American Physical Society}« less
  • No abstract prepared.