Communications in Mathematical Physics, vol.356, no.3, pp.1117-1154, 2017 (SCI-Expanded)
We show that the trace decategorification, or zeroth Hochschild homology, of the twisted Heisenberg category defined by Cautis and Sussan is isomorphic to a quotient of W-, a subalgebra of W1 + ∞ defined by Kac, Wang, and Yan. Our result is a twisted analogue of that by Cautis, Lauda, Licata, and Sussan relating W1 + ∞ and the trace decategorification of the Heisenberg category.