On string theory on $AdS_3 \times S^3 \times T^4$ with mixed 3-form flux: tree-level S-matrix - INSPIRE

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On string theory on $AdS_3 \times S^3 \times T^4$ with mixed 3-form flux: tree-level S-matrix

B. Hoare
(
- Humboldt U., Berlin
)
,
A.A. Tseytlin
(
- Imperial Coll., London
)

Mar 5, 2013

50 pages

Published in:

Nucl.Phys.B 873 (2013) 682-727

Published: Aug 21, 2013

e-Print:

1303.1037 [hep-th]

DOI:

10.1016/j.nuclphysb.2013.05.005

Report number:

IMPERIAL-TP-AT-2013-01,
HU-EP-13-10

View in:

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Abstract: (Elsevier)

We consider superstring theory on AdS_3xS^3xT^4 supported by a combination of RR and NSNS 3-form fluxes (with parameter of the NSNS 3-form q). This theory interpolates between the pure RR flux model (q=0) whose spectrum is expected to be described by a (thermodynamic) Bethe ansatz and the pure NSNS flux model (q=1) which is described by the supersymmetric extension of the SL(2,R)xSU(2) WZW model. As a first step towards the solution of this integrable theory for generic value of q we compute the corresponding tree-level S-matrix for massive BMN-type excitations. We find that this S-matrix has a surprisingly simple dependence on q: the diagonal amplitudes have exactly the same structure as in the q=0 case but with the BMN dispersion relation e^2=p^2+1 replaced by the one with shifted momentum and mass, e^2=(p+/-q)^2+1-q^2. The off-diagonal amplitudes are then determined from the classical Yang-Baxter equation. We also construct the Pohlmeyer-reduced model corresponding to this superstring theory and find that it depends on q only through the rescaled mass parameter, @m->1-q^2@m, implying that its relativistic S-matrix is q-independent.

Note:

46 pages; v2: 50 pages, new part of Appendix A added and minor misprints corrected; v3: discussion of proposed dispersion relation in eq. 4.11 and symmetry algebra in appendix B for q not 0 modified; v4: minor corrections and comments added; v5: misprints corrected (in particular, in eqs. 3.18, 3.20 and 3.24) and reference added

Wess-Zumino-Witten model: SU(2)
S-matrix
flux
tree approximation
anti-de Sitter
superstring
Yang-Baxter equation
dispersion relation
excited state
integrability

References(67)

Figures(0)

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