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arXiv · 1508.01536

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

A. Herrera-Aguilar·J. E. Paschalis
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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.

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A. Herrera-Aguilar, J. E. Paschalis. 2015-08-06. Towards the quantization of the non-relativistic D2-brane in the Pure Spinor Formalism. https://arxiv.org/abs/1508.01536

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