63 research outputs found
On the Berezinian of a moduli space of curves in P^{n|n+1}
A supermanifold P^{3|4} is a target space for twistor string theory. In this
note we identify a line bundle of holomorphic volume elements BerM_gP^{3|4}
defined on the moduli space of curves of genus g in P^{3|4} with a pullback of
a line bundle defined on M_g(pt). We also give some generalizations of this
fact.Comment: 9 pages, few typos were correcte
Yang-Mills theory and a superquadric
We construct a supermanifold ST which turns to be an open subset of a
superquadric Q(5|6) subset P^{3|3}times P^{3|3}. The Dolbeault algebra
Omega^{0*}(ST) is quasiisomorphic to N=3, D=4 YM algebra in Batalin-Vilkovisky
formulation. We construct a dbar-closed functional tr:Omega^{0*}(ST)=>C. We
conjecture that Chern-Simons theory associated with a triple
Omega^{0*}(ST)\otimes Mat_n,dbar,tr tr_{Mat_n}) is equivalent to N=3, D=4 YM
theory with gauge group U_n in euclidean signature.Comment: Final version. Will be published in "Algebra, Arithmetic and Geometry
- Manin Festschrift
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