Quantization of the particle with a linear massless solution

0502015 - FZÚ 2019 RIV IT eng J - Journal Article
Lipinski Jusinskas, Renann
Quantization of the particle with a linear massless solution.
Journal of High Energy Physics. Roč. 2018, č. 11 (2018), s. 1-19, č. článku 019. ISSN 1126-6708
R&D Projects: GA ČR GBP201/12/G028
Institutional support: RVO:68378271
Keywords : BRST quantization * gauge symmetry * superstrings and heterotic strings
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 5.833, year: 2018

In this work, a solution linear in the momentum for the massless constraint PmPm = 0 is investigated. It is presented in terms of a SO(2n, ℂ) to U(n) decomposition and interpreted in terms of projective pure spinors, which are known to parametrize the SO(2n)U(n) coset. The worldline action is quantized using the BRST formalism and, using the results of Berkovits and Cherkis, the ghost number zero wave function is shown to generate massless solutions for field equations of arbitrary spin. The model can be covariantly expressed by the action recently proposed in D = 10 by Berkovits, in terms of a twistor-like constraint. However, a thorough account of its gauge symmetries does not lead to a spacetime supersymmetric theory. In order to derive from first principles the superparticle in the pure spinor formalism, a new model is proposed with partial worldline supersymmetry.

Permanent Link: http://hdl.handle.net/11104/0293973