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Nilpotency of the b ghost in the non-minimal pure spinor formalism

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Abstract

The b ghost in the non-minimal pure spinor formalism is not a fundamental field. It is based on a complicated chain of operators and proving its nilpotency is nontrivial. Chandia proved this property in arXiv:1008.1778, but with an assumption on the nonminimal variables that is not valid in general. In this work, the b ghost is demonstrated to be nilpotent without this assumption.

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References

  1. N. Berkovits, Super Poincaré covariant quantization of the superstring, JHEP 04 (2000) 018 [hep-th/0001035] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  2. N. Berkovits, Multiloop amplitudes and vanishing theorems using the pure spinor formalism for the superstring, JHEP 09 (2004) 047 [hep-th/0406055] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. N. Berkovits, Pure spinor formalism as an N = 2 topological string, JHEP 10 (2005) 089 [hep-th/0509120] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  4. O. Chandía, The b ghost of the pure spinor formalism is nilpotent, Phys. Lett. B 695 (2011) 312 [arXiv:1008.1778] [INSPIRE].

    ADS  Google Scholar 

  5. N. Berkovits and N. Nekrasov, Multiloop superstring amplitudes from non-minimal pure spinor formalism, JHEP 12 (2006) 029 [hep-th/0609012] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. I. Oda and M. Tonin, Y-formalism and b ghost in the non-minimal pure spinor formalism of superstrings, Nucl. Phys. B 779 (2007) 63 [arXiv:0704.1219] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. P. Di Francesco, P. Mathieu and D. Senechal, Conformal field theory, Springer, New York U.S.A. (1997).

    Book  MATH  Google Scholar 

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Correspondence to Renann Lipinski Jusinskas.

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ArXiv ePrint: 1303.3966

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Jusinskas, R.L. Nilpotency of the b ghost in the non-minimal pure spinor formalism. J. High Energ. Phys. 2013, 48 (2013). https://doi.org/10.1007/JHEP05(2013)048

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  • DOI: https://doi.org/10.1007/JHEP05(2013)048

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