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arXiv · 1511.07878

$S_N$ Orbifolds and String Interactions

Antal Jevicki·Junggi Yoon
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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.

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Antal Jevicki, Junggi Yoon. 2015-12-09. $S_N$ Orbifolds and String Interactions. https://doi.org/10.1088/1751-8113%2F49%2F20%2F205401

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