Advances in Theoretical and Mathematical Physics
- Adv. Theor. Math. Phys.
- Volume 7, Number 3 (2003), 499-524.
On the BRST Cohomology of Superstrings with/without Pure Spinors
We replace our earlier condition that physical states of the superstring have non-negative grading by the requirement that they are analytic in a new real commuting constant t which we associate with the central charge of the underlying Kac-Moody superalgebra. The analogy with the twisted N=2 SYM theory suggests that our covariant superstring is a twisted version of another formulation with an equivariant cohomology. We prove that our vertex operators correspond in one-to-one fashion to the vertex operators in Berkovits' approach based on pure spinors. Also the zero-momentum cohomology is equal in both cases. Finally, we apply the methods of equivariant cohomology to the superstring, and obtain the same BRST charge as obtained earlier by relaxing the pure spinor constraints.
Adv. Theor. Math. Phys., Volume 7, Number 3 (2003), 499-524.
First available in Project Euclid: 4 April 2005
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Grassi, P.A.; Policastro, G.; van Nieuwenhuizen, P. On the BRST Cohomology of Superstrings with/without Pure Spinors. Adv. Theor. Math. Phys. 7 (2003), no. 3, 499--524. https://projecteuclid.org/euclid.atmp/1112627376