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Spinning strings and minimal surfaces in AdS(3) with mixed 3-form fluxes

David, Ustin R and Sadhukhan, Abhishake (2014) Spinning strings and minimal surfaces in AdS(3) with mixed 3-form fluxes. In: JOURNAL OF HIGH ENERGY PHYSICS (10).

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Official URL: http://dx.doi.org/ 10.1007/JHEP10(2014)049

Abstract

Motivated by the recent proposal for the S-matrix in AdS(3) x S-3 with mixed three form fluxes, we study classical folded string spinning in AdS(3) with both Ramond and Neveu-Schwarz three form fluxes. We solve the equations of motion of these strings and obtain their dispersion relation to the leading order in the Neveu-Schwarz flux b. We show that dispersion relation for the spinning strings with large spin S acquires a term given by -root lambda/2 pi b(2) log(2) S in addition to the usual root lambda/pi log S term where root lambda is proportional to the square of the radius of AdS(3). Using SO(2, 2) transformations and re-parmetrizations we show that these spinning strings can be related to light like Wilson loops in AdS(3) with Neveu-Schwarz flux b. We observe that the logarithmic divergence in the area of the light like Wilson loop is also deformed by precisely the same coefficient of the b(2) log(2) S term in the dispersion relation of the spinning string. This result indicates that the coefficient of b(2) log(2) S has a property similar to the coefficient of the log S term, known as cusp-anomalous dimension, and can possibly be determined to all orders in the coupling lambda using the recent proposal for the S-matrix.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: AdS-CFT Correspondence; Bosonic Strings; Long strings
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 28 Nov 2014 05:18
Last Modified: 28 Nov 2014 05:18
URI: http://eprints.iisc.ac.in/id/eprint/50336

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