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Pure Spinors for General Backgrounds
Pietro Fre', Pietro Antonio Grassi
We show the equivalence of the different types of pure spinor constraints geometrically derived from the Free Differential Algebras of N=2 d=10 supergravities. Firstly, we compute…
Y-Formalism and Curved Beta-Gamma Systems
Pietro Antonio Grassi, Ichiro Oda, Mario Tonin
We adopt the Y-formalism to study beta-gamma systems on hypersurfaces. We compute the operator product expansions of gauge-invariant currents and we discuss some applications of th…
Free Differential Algebras, Rheonomy, and Pure Spinors
Pietro Fré, Pietro Antonio Grassi
We report on progresses on the derivation of pure spinor constraints, BRST algebra and BRST invariant sigma models a la pure spinors from the algebraic structure of the FDA underly…
Integration of Superforms and Super-Thom Class
Pietro A. Grassi, Matteo Marescotti
We address the basic problem of constructing the Thom class for a supermanifold. Given a cohomological class of a supermanifold and the restriction of the supermanifold to its boso…
Constrained Supermanifolds for AdS M-Theory Backgrounds
Pietro Fré, Pietro Antonio Grassi
A long standing problem is the supergauge completion of AdS_4 x (G/H)_7 or AdS_5 x (G/H)_5 backgrounds which preserve less then maximal supersymmetry. In parallel with the supersol…
Partition Functions, Localization, and the Chiral de Rham complex
Pietro Antonio Grassi, Giuseppe Policastro, Emanuel Scheidegger
We propose a localization formula for the chiral de Rham complex generalizing the well-known localization procedure in topological theories. Our formula takes into account the cont…