Semiclassical equivalence of Green-Schwarz and pure-spinor/hybrid formulations of superstrings in AdS(5) x S-5 and AdS(2) x S-2 x T-6
2013 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, Vol. 46, no 6, 065401- p.Article in journal (Refereed) Published
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 AdS(5) x S-5. 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 AdS(2) x S-2 x T-6 by studying several particular examples of string solutions.
Place, publisher, year, edition, pages
2013. Vol. 46, no 6, 065401- p.
IdentifiersURN: urn:nbn:se:su:diva-88278DOI: 10.1088/1751-8113/46/6/065401ISI: 000314221000013OAI: oai:DiVA.org:su-88278DiVA: diva2:610786