The non-minimal heterotic pure spinor string in a curved background

Open Access


We study the non-minimal pure spinor string in a curved background. We find that the minimal BRST invariance implies the existence of a non-trivial stress-energy tensor for the minimal and non-minimal variables in the heterotic curved background. We find constraint equations for the b ghost. We construct the b ghost as a solution of these constraints.


Superstrings and Heterotic Strings Conformal Field Models in String Theory Topological Strings 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


  1. [1]
    N. Berkovits, Super Poincaré covariant quantization of the superstring, JHEP 04 (2000) 018 [hep-th/0001035] [INSPIRE].ADSCrossRefMathSciNetGoogle Scholar
  2. [2]
    N. Berkovits, Cohomology in the pure spinor formalism for the superstring, JHEP 09 (2000) 046 [hep-th/0006003] [INSPIRE].ADSCrossRefMathSciNetGoogle Scholar
  3. [3]
    N. Berkovits and O. Chandía, Massive superstring vertex operator in D = 10 superspace, JHEP 08 (2002) 040 [hep-th/0204121] [INSPIRE].ADSCrossRefGoogle Scholar
  4. [4]
    O.A. Bedoya and N. Berkovits, GGI Lectures on the Pure Spinor Formalism of the Superstring, arXiv:0910.2254 [INSPIRE].
  5. [5]
    N. Berkovits, Pure spinor formalism as an N = 2 topological string, JHEP 10 (2005) 089 [hep-th/0509120] [INSPIRE].ADSCrossRefMathSciNetGoogle Scholar
  6. [6]
    O. Chandía, The b Ghost of the Pure Spinor Formalism is Nilpotent, Phys. Lett. B 695 (2011) 312 [arXiv:1008.1778] [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    R. Lipinski Jusinskas, Nilpotency of the b ghost in the non-minimal pure spinor formalism, JHEP 05 (2013) 048 [arXiv:1303.3966] [INSPIRE].CrossRefMathSciNetGoogle Scholar
  8. [8]
    R.L. Jusinskas, Notes on the pure spinor b ghost, JHEP 07 (2013) 142 [arXiv:1306.1963] [INSPIRE].ADSCrossRefGoogle Scholar
  9. [9]
    I. Bakhmatov and N. Berkovits, Pure Spinor b-ghost in a Super-Maxwell Background, JHEP 11 (2013) 214 [arXiv:1310.3379] [INSPIRE].ADSCrossRefGoogle Scholar
  10. [10]
    N. Berkovits and P.S. Howe, Ten-dimensional supergravity constraints from the pure spinor formalism for the superstring, Nucl. Phys. B 635 (2002) 75 [hep-th/0112160] [INSPIRE].ADSCrossRefMathSciNetGoogle Scholar
  11. [11]
    O. Chandía and B.C. Vallilo, Conformal invariance of the pure spinor superstring in a curved background, JHEP 04 (2004) 041 [hep-th/0401226] [INSPIRE].ADSCrossRefGoogle Scholar
  12. [12]
    O. Chandía and M. Tonin, BRST anomaly and superspace constraints of the pure spinor heterotic string in a curved background, JHEP 09 (2007) 016 [arXiv:0707.0654] [INSPIRE].ADSCrossRefGoogle Scholar
  13. [13]
    O. Chandía, A Note on the classical BRST symmetry of the pure spinor string in a curved background, JHEP 07 (2006) 019 [hep-th/0604115] [INSPIRE].ADSCrossRefGoogle Scholar

Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Facultad de Artes Liberales and Facultad de Ingeniería y CienciasUniversidad Adolfo IbáñezPeñalolénChile

Personalised recommendations