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This article is cited in 66 scientific papers (total in 66 papers)
The exact spectrum and mirror duality of the $(\text{AdS}_5{\times}S^5)_\eta$ superstring
G. E. Arutyunovabcd, M. de Leeuwe, S. J. van Tongerenfg a Steklov Mathematical Institute, Moscow, Russia
b Institute for Theoretical Physics, Utrecht University, Utrecht,
The Netherlands
c Spinoza Institute, Utrecht University, Utrecht, The Netherlands
d Institute for Theoretical Physics, Hamburg University, Hamburg, Germany
e ETH Zürich, Institut für
Theoretische Physik, Zurich, Switzerland
f Institut für Mathematik, Humboldt-Universität zu Berlin,
Berlin, Germany
g Institut für Physik, Humboldt-Universität zu Berlin, Berlin, Germany
Abstract:
We discuss the spectrum of a string propagating on $\eta$-deformed AdS$_5\times S^5$ by treating its worldsheet theory as an integrable quantum field theory. The exact $S$-matrix of this field theory is given by a $q$-deformation of the AdS$_5{\times}S^5$ worldsheet $S$-matrix with a real deformation parameter. By considering mirror (double Wick-rotated) versions of these worldsheet theories, we give the thermodynamic Bethe ansatz description of their exact finite-size spectra. Interestingly, this class of models maps onto itself under the mirror transformation. At the string level, this seems to indicate that the light-cone worldsheet theories of strings on particular pairs of backgrounds are related by a double Wick rotation, a feature we call “mirror duality”. We provide a partial verification of these statements at the level of a sigma model by considering reduced actions and their corresponding (mirror) giant magnon solutions.
Keywords:
AdS/CFT correspondence, sigma model, exact $S$-matrix, thermodynamic Bethe ansatz.
Received: 14.05.2014
Citation:
G. E. Arutyunov, M. de Leeuw, S. J. van Tongeren, “The exact spectrum and mirror duality of the $(\text{AdS}_5{\times}S^5)_\eta$ superstring”, TMF, 182:1 (2015), 28–64; Theoret. and Math. Phys., 182:1 (2015), 23–51
Linking options:
https://www.mathnet.ru/eng/tmf8709https://doi.org/10.4213/tmf8709 https://www.mathnet.ru/eng/tmf/v182/i1/p28
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