Covariant quantization of the superparticle using pure spinors

By N. Berkovits. 2001

178 citations recorded by the source corpus.

The ten-dimensional superparticle is covariantly quantized by constructing a BRST operator from the fermionic Green-Schwarz constraints and a bosonic pure spinor variable. This same method was recently used for covariantly quantizing the superstring, and it is hoped that the simpler case of the superparticle will be useful for those who want to study this quantization method. It is interesting that quantization of the superparticle action closely resembles quantization of the worldline action for Chern-Simons theory.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/57c20a7c2bb16e5858ebd54f977402792b3261cb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. P. Howe
2. E. Witten
3. N. Berkovits
4. Marcos Mariño

In Nuclear and High Energy Physics

1. N. Berkovits
2. E. Witten
3. P. Howe
4. F. Cachazo
5. J. Maldacena
6. David Skinner
7. Ashoke Sen
8. B. Zwiebach

In Statistical and Nonlinear Physics

1. N. Berkovits
2. P. Howe
3. E. Witten
4. F. Cachazo
5. J. Maldacena
6. Sergei Gukov
7. Song He
8. N. Nekrasov

Citations in the corpus

• Infinite tension limit of the pure spinor superstring (2013, methodology): “The construction mirrors the Mason-Skinner approach and starts with the pure spinor versions of the d = 10 N = 1 and N = 2 superparticle action [6].”
• Perturbative Gauge Theory as a String Theory in Twistor Space (2003, background): “Their motivation was in part to understand the covariant quantization of the Green-Schwarz superparticle and superstring via pure spinors [78], which in some ways is a cousin of twistor constructions.”
• ICTP Lectures on Covariant Quantization of the Superstring (2002, background): “It was proven in [36] that the above states are the only states in the cohomology of Q and therefore, although Ψ of (2.36) contains superfields of arbitrarily high ghost number, only superfields with ghost-number between zero and three contain states in the cohomology of Q .”
• Pure spinor formalism as an N=2 topological string (2005, background): “There have also been papers which expand on the analogy with Chern-Simons in [2][22] to find various topological properties of the pure spinor formalism [23] [24] [25] [26].”
• Ten-dimensional supergravity constraints from the pure spinor formalism for the superstring (2001, methodology): “Since quantization is straightforward using the pure spinor version of the superstring, it is expected that these methods can also be used to compute higher-order α′ corrections to the ten-dimensional superspace constraints.”