https://doi.org/10.1140/epjc/s10052-019-6999-6
Regular Article - Theoretical Physics
Towards the quantization of the non-relativistic D2-brane in the pure spinor formalism
1
Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, Puebla, Mexico
2
Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, CP 58040, Morelia, Michoacán, Mexico
3
Theoretical Physics Department, Aristotle University of Thessaloniki, 54124, Thessaloníki, Greece
* e-mail: aherrera@ifuap.buap.mx
Received:
18
March
2019
Accepted:
26
May
2019
Published online:
18
June
2019
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 Berkovits in (JHEP 04:018, arXiv:hep-th/0001035, 2000, JHEP 09:046, arXiv:hep-th/0006003, 2000, JHEP 09:016, arXiv:hep-th/0105050, 2001, ICTP Lect. Notes Ser. 13:57, arXiv:hep-th/0209059, 2003). 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.
© The Author(s), 2019
