ICTP Lectures on Covariant Quantization of the Superstring

By N. Berkovits. 2002

244 citations recorded by the source corpus.

These ICTP Trieste lecture notes review the pure spinor approach to quantizing the superstring with manifest D=10 super-Poincare invariance. The first section discusses covariant quantization of the superparticle and gives a new proof of equivalence with the Brink-Schwarz superparticle. The second section discusses the superstring in a flat background and shows how to construct vertex operators and compute tree amplitudes in a manifestly super-Poincare covariant manner. And the third section discusses quantization of the superstring in curved backgrounds which can include Ramond-Ramond flux.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/95620235ce515aa45895b90c2d073047123b8b0b

How researchers see this paper

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

In Geometry and Topology

1. S. Stieberger
2. O. Schlotterer
3. N. Berkovits
4. Carlos R. Mafra
5. B. Pioline
6. J. Boer
7. Ashoke Sen
8. B. Zwiebach

In Mathematical Physics

1. B. Pioline
2. S. Stieberger
3. Carlos R. Mafra
4. O. Schlotterer
5. J. Boer

In Nuclear and High Energy Physics

1. S. Stieberger
2. O. Schlotterer
3. Carlos R. Mafra
4. N. Berkovits
5. B. Pioline
6. J. Boer
7. P. A. Grassi
8. Patrick Van Nieuwenhuizen

Citations in the corpus

• Non-commutative superspace from string theory (2003, background): “variantizes Berkovits’ pure spinor approach (see e.g. the review [ 16 ]).”
• 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].”
• Lectures on black holes, topological strings and quantum attractors (2006, background): “[81]) are nonmanifestly supersymmetric, requiring to evaluate many different scattering amplitudes at a given order in momenta.”
• Complete N-point superstring disk amplitude I. Pure spinor computation (2011, background): “For example, it can be shown that QV = 0 is equivalent to putting the SYM superfields on-shell and it also implies that the BRST variation of the integrated vertex U is given by QU = ∂V [20], and many simplifications occur due to this compact description.”
• Explicit BCJ numerators from pure spinors (2011, unknown): “For reviews of the pure spinor formalism, see [35, 36].”