5,931 research outputs found
One-loop quantization of rigid spinning strings in with mixed flux
We compute the one-loop correction to the classical dispersion relation of
rigid closed spinning strings with two equal angular momenta in the background supported with a mixture of R-R and NS-NS
three-form fluxes. This analysis is extended to the case of two arbitrary
angular momenta in the pure NS-NS limit. We perform this computation by means
of two different methods. The first method relies on the Euler-Lagrange
equations for the quadratic fluctuations around the classical solution, while
the second one exploits the underlying integrability of the problem through the
finite-gap equations. We find that the one-loop correction vanishes in the pure
NS-NS limit.Comment: 35 pages. v2: Minor changes and references updated. v3: Published
versio
Pulsating strings with mixed three-form flux
Circular strings pulsating in with mixed R-R
and NS-NS three-form fluxes can be described by an integrable deformation of
the one-dimensional Neumann-Rosochatius mechanical model. In this article we
find a general class of pulsating solutions to this integrable system that can
be expressed in terms of elliptic functions. In the limit of strings moving in
with pure NS-NS three-form flux, where the action reduces to the
WZW model, we find agreement with the analysis of the
classical solutions of the system performed using spectral flow by Maldacena
and Ooguri. We use our elliptic solutions in to extend the dispersion
relation beyond the limit of pure NS-NS flux.Comment: 10 pages. Late
Minimal surfaces with mixed three-form flux
We study minimal area world sheets ending on two concentric circumferences on
the boundary of Euclidean with mixed R-R and NS-NS three-form fluxes.
We solve the problem by reducing the system to a one-dimensional integrable
model. We find that the NS-NS flux term either brings the surface near to the
boundary or separates the circumferences. In the limit of pure NS-NS flux the
solution adheres to the boundary in the former case and the outer radius
diverges in the latter. We further construct the underlying elliptic spectral
curve, which allows us to analyze the deformation of other related minimal
surfaces. We show that in the regime of pure NS-NS flux the elliptic curve
degenerates.Comment: 15 pages. Latex. v2: Title changed together with minor updates to
emphasize that minimal area surfaces in the presence of mixed fluxes are
found. v3: Published versio
The Wess-Zumino-Witten spin chain sigma model
Classical strings propagating in supported
with Neveu-Schwarz-Neveu-Schwarz flux are described by a Wess-Zumino-Witten
model. In this note, we study the emergence of their semiclassical
spectrally flowed sectors as the Landau-Lifshitz limit of the underlying
quantum spin chain. We consider the propagator in the coherent state picture,
and find that the time interval is discretized proportionally to the lattice
spacing. In the Landau-Lifshitz limit, where both time and space become
continuous, we derive a path integral representation of the propagator for each
spectrally flowed sector. We prove that the arbitrariness of the global phase
of coherent states is mapped to the gauge freedom of the -field in the
classical action. We show that higher order corrections in the Landau-Lifshitz
limit are suppressed by inverse powers of the 't Hooft coupling.Comment: 10 pages, Latex. v2: Published version. v3: Acknowledgement adde
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