$S_N$ Orbifolds and String Interactions

Abstract

We study interacting features of $S_N$ Orbifold CFTs. Concentrating on characters (associated with $S_N$ Orbifold primaries) we first formulate a novel procedure for evaluating them through $GL(\infty {)}_{+}$ tracing. The result is a polynomial formula which we show gives results equivalent to those found by Bantay. From this we deduce a hierarchy of commuting Hamiltonians featuring locality in the induced space, and nonlinear string-type interactions.

34 pages, 3 figures; v2: minor changes, references added

Cited by in corpus (7)

• Evolution of Entanglement Entropy in Orbifold CFTs
• Out-of-Time-Ordered Correlators in $(T^2{)}^n/{\mathbb{Z}}_n$
• The symmetric orbifold of N=2 minimal models
• Symmetry Algebras of Stringy Cosets
• Fortuity and Supergravity
• A New Supersymmetry Index for the D1-D5 CFT
• The Resolved Elliptic Genus and the D1-D5 CFT