Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
Jul, 201229 pages
Published in:
- JHEP 10 (2012) 109
e-Print:
- 1207.5531 [hep-th]
Report number:
- MIFPA-12-26
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Abstract: (arXiv)
In this paper we continue the investigation of aspects of integrability of the type IIA AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4) superstrings. By constructing a one parameter family of flat connections we prove that the Green-Schwarz string is classically integrable, at least to quadratic order in fermions, without fixing the kappa-symmetry. We then compare the quantum dispersion relation, fixed by integrability up to an unknown interpolating function h(lambda), to explicit one-loop calculations on the string worldsheet. For AdS(3) x S(3) x S(3) x S(1) the spectrum contains heavy, as well as light and massless modes, and we find that the one-loop contribution differs depending on how we treat these modes showing that similar regularization ambiguities as appeared in AdS(4)/CFT(3) occur also here.Note:
- 29 pages; v2: updated references and acknowledgment
- string: Green-Schwarz
- integrability
- superstring
- AdS(3) x S(3) x T(4)
- dispersion relation
- regularization
- kappa symmetry
- Lax
- vector: Killing
- spinor: Killing
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