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Violating the string winding number maximally in Anti-de Sitter space

Gaston Giribet
(
- Buenos Aires U. and
- Buenos Aires, CONICET
)

Jun, 2011

10 pages

Published in:

Phys.Rev.D 84 (2011) 024045,
Phys.Rev.D 96 (2017) 2, 024024 (addendum)

Published: Jul 17, 2017

e-Print:

1106.4191 [hep-th]

DOI:

10.1103/PhysRevD.84.024045,
10.1103/PhysRevD.96.024024 (addendum)

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Abstract: (APS)

We revisit the computation of maximally winding violating string amplitudes in three-dimensional anti–de Sitter space discussed in Ref. G. Giribet, Violating the string winding number maximally in anti-de Sitter space, Phys. Rev. D 84, 024045 (2011)PRVDAQ1550-799810.1103/PhysRevD.84.024045. Here, we give an alternative derivation of these observables. This derivation, the simplest to the best of our knowledge, follows from identities between spectrally flowed representations of sl^(2)k Kac-Moody algebra and, in contrast to G. Giribet, Violating the string winding number maximally in anti-de Sitter space, Phys. Rev. D 84, 024045 (2011)PRVDAQ1550-799810.1103/PhysRevD.84.024045, it does not resort to conjugate representations with auxiliary fields, but it rather involves the standard Wakimoto free field representation.

Note:

15 pages. V2 references added and minor typo corrected. V3, V4 addendum on an alternative derivation of the main formula for short strings

04.60.Cf
11.25.-w
11.25.Hf
space: anti-de Sitter
field theory: conformal
string: scattering amplitude
operator: vertex
operator: screening
field theory: Liouville
correlation function

References(9)

Figures(0)

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