Abstract
We summarize some recent results obtained in collaboration with J. McCarthy on the spectrum of physical states in W 3 gravity coupled to c = 2 matter. We show that the space of physical states, defined as a semi-infinite (or BRST) cohomology of the W 3 algebra, carries the structure of a BV-algebra. This BV-algebra has a quotient which is isomorphic to the BV-algebra of polyvector fields on the base affine space of SL(3, C). Details will appear elsewhere.
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Bouwknegt, P., Pilch, K. (1995). The BV-algebra structure of W 3 cohomology. In: Aktaş, G., Saçlioğlu, C., Serdaroğlu, M. (eds) Strings and Symmetries. Lecture Notes in Physics, vol 447. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59163-X_282
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DOI: https://doi.org/10.1007/3-540-59163-X_282
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