Semiclassical equivalence of Green-Schwarz and pure-spinor/hybrid formulations of superstrings in AdS5 × S5 and AdS2 × S2 × T6
Abstract
We demonstrate the equivalence between the worldsheet one-loop partition functions computed near classical string solutions in the Green-Schwarz and in the pure-spinor formulations of superstrings in AdS5 × S5. While their bosonic sectors are the same in the conformal gauge, their fermionic sectors superficially appear to be very different (first versus second-derivative kinetic terms, presence versus absence of fermionic gauge symmetry). Still, we show that the quadratic fluctuation spectrum of 16 fermionic modes of the pure-spinor formulation is the same as in the Green-Schwarz superstring and the contribution of the extra ‘massless’ fermionic modes cancels against that of the pure-spinor ghosts. We also provide evidence for a similar semiclassical equivalence between the Green-Schwarz and the hybrid formulations of superstrings in AdS2 × S2 × T6 by studying several particular examples of string solutions.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- February 2013
- DOI:
- 10.1088/1751-8113/46/6/065401
- arXiv:
- arXiv:1211.1554
- Bibcode:
- 2013JPhA...46f5401C
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 28 pages