Non-Perturbative Explorations of Chiral Rings in 4d N=2 SCFTs
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Editors
Wimmer, R
Publisher
Journal
Physical Review D
ISSN
1550-7998
Metadata
Show full item recordAbstract
We study the conditions under which 4d N = 2 superconformal field theories (SCFTs) have
multiplets housing operators that are chiral with respect to an N = 1 subalgebra. Our
main focus is on the set of often-ignored and relatively poorly understood B¯ representations.
These multiplets typically evade direct detection by the most popular non-perturbative 4d
N = 2 tools and correspondences. In spite of this fact, we demonstrate the ubiquity of B¯
multiplets and show they are associated with interesting phenomena. For example, we give
a purely algebraic proof that they are present in all local unitary N > 2 SCFTs. We also
show that B¯ multiplets exist in N = 2 theories with rank greater than one and a conformal
manifold or a freely generated Coulomb branch. Using recent topological quantum field
theory results, we argue that certain B¯ multiplets exist in broad classes of theories with
the Z2-valued ’t Hooft-Witten anomaly for Sp(N) global symmetry. Motivated by these
statements, we then study the question of when B¯ multiplets exist in rank-one SCFTs with
exactly N = 2 SUSY and vanishing ’t Hooft-Witten anomaly. We conclude with various
open questions.
Authors
BUICAN, M; Banerjee, ACollections
- Theoretical Physics [186]