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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## 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 |
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Publication: | JOURNAL OF HIGH ENERGY PHYSICS |

Publisher: | SPRINGER |

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 |

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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