634 citations · 2.3k across the 53 of their papers we have counts for
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BV-Structure of the Cohomology of Nilpotent Subalgebras and the Geometry of (W-) Strings
Peter Bouwknegt, Jim Mccarthy, Krzysztof Pilch
Given a simple, simply laced, complex Lie algebra $\bfg$ corresponding to the Lie group , let $\bfnp$ be the subalgebra generated by the positive roots. In this paper we constru…
Operator algebra of the 4D W_3 string
Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch
The noncritical $\cW_3$ string is a model of $\cW_3$ gravity coupled to two free scalar fields. In this paper we discuss its BRST quantization in direct analogy with that of t…
The BV-algebra structure of W_3 cohomology
Peter Bouwknegt, Krzysztof Pilch
We summarize some recent results obtained in collaboration with J. McCarthy on the spectrum of physical states in gravity coupled to matter. We show that the space of p…
The W_3 algebra: modules, semi-infinite cohomology and BV-algebras
Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch
The noncritical string is a model of gravity coupled to two free scalar fields. In this paper we discuss its BRST quantization in direct analogy with that of the…
SPINON BASIS FOR (sl2^)_k INTEGRABLE HIGHEST WEIGHT MODULES AND NEW CHARACTER FORMULAS
Peter Bouwknegt, Andreas W. W. Ludwig, Kareljan Schoutens
In this note we review the spinon basis for the integrable highest weight modules of sl2^ at levels k\geq1, and give the corresponding character formula. We show that our spinon ba…