Towards the quantization of the non-relativistic D2-brane in the Pure Spinor Formalism

Abstract

An attempt is made to apply the pure spinor formalism to the non-relativistic IIA D2-brane. The fermionic constraints corresponding to the rescaled fermionic coordinates are given. Two commuting spinor fields are introduced, each one corresponding to a fermionic constraint. A BRST charge is constructed via the ansatz proposed by N. Berkovits. The nilpotency of the BRST charge leads to a set of constraints for the two spinor fields including pure spinor constraints. A novel non-trivial solution is given for one of the spinor fields which can be written as a sum of two pure spinors.

23 pages in latex, no figures; discussion added, some typos corrected, more references added

References in corpus (5)

• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• A Note on the Classical BRST Symmetry of the Pure Spinor String in a Curved Background
• Cohomology foundations of one-loop amplitudes in pure spinor superspace
• Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background