Gleb Arutyunov
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Gleb Arutyunov has a total of 8 co-authors. Here are the top co-authors by number of shared publications:
- Sergey Frolov
Hamilton Mathematics Institute and School of Mathematics Trinity College
17 shared publications - Marius de Leeuw
Trinity College Dublin
10 shared publications - Stijn Jurrien van Tongeren
Humboldt-Universität zu Berlin
10 shared publications - Ryo Suzuki
Shing-Tung Yau Center of Southeast University, Nanjing, China
5 shared publications - Alessandro Torrielli
Institute for Theoretical Physics and Spinoza Institute Utrecht University 3508 TD Utrecht The Netherlands
4 shared publications - Alessandro Sfondrini
University of Birmingham
2 shared publications
Latest Publications
- Open Access
S-matrix for strings on $η$-deformed AdS5 x S5
We determine the bosonic part of the superstring sigma model Lagrangian on $\eta$-deformed AdS5 x S5, and use it to compute the perturbative world-sheet scattering matrix of bosonic particles of the model. We then compare it with the large string tension limit of the q-deformed S-matrix and find exact agreement.
Open AccessS-matrix for strings on $η$-deformed AdS5 x S5
We determine the bosonic part of the superstring sigma model Lagrangian on $\eta$-deformed AdS5 x S5, and use it to compute the perturbative world-sheet scattering matrix of bosonic particles of the model. We then compare it with the large string tension limit of the q-deformed S-matrix and find exact agreement.
- Open AccessThe $\mathrm{AdS}_5 \times \mathrm{S}^5$ mirror model as a stringDoing a double Wick rotation in the worldsheet theory of the light cone $\mathrm{AdS}_5 \times \mathrm{S}^5$ superstring results in an inequivalent, so-called mirror theory that plays a central role in the field of integrability in AdS/CFT. We show that this mirror theory can be interpreted as the light cone theory of a free string on a different background. This background is related to $\mathrm{dS}_5 \times \mathrm{H}^5$ by a double T duality, and has hidden supersymmetry. The geometry can also be extracted from an integrable deformation of the $\mathrm{AdS}_5 \times \mathrm{S}^5$ sigma model, and we prove the observed mirror duality of these deformed models at the bosonic level as a byproduct. While we focus on $\mathrm{AdS}_5 \times \mathrm{S}^5$, our results apply more generally.Open AccessThe $\mathrm{AdS}_5 \times \mathrm{S}^5$ mirror model as a stringDoing a double Wick rotation in the worldsheet theory of the light cone $\mathrm{AdS}_5 \times \mathrm{S}^5$ superstring results in an inequivalent, so-called mirror theory that plays a central role in the field of integrability in AdS/CFT. We show that this mirror theory can be interpreted as the light cone theory of a free string on a different background. This background is related to $\mathrm{dS}_5 \times \mathrm{H}^5$ by a double T duality, and has hidden supersymmetry. The geometry can also be extracted from an integrable deformation of the $\mathrm{AdS}_5 \times \mathrm{S}^5$ sigma model, and we prove the observed mirror duality of these deformed models at the bosonic level as a byproduct. While we focus on $\mathrm{AdS}_5 \times \mathrm{S}^5$, our results apply more generally.
- 1 January 2015
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 182 (1) , 23-51
The exact spectrum and mirror duality of the (AdS5 × S 5) η superstring
- 1 January 2015
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 182 (1) , 23-51
The exact spectrum and mirror duality of the (AdS5 × S 5) η superstring
- 31 December 2014
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 113 (26) , 261605
Mirror Model as a String Sigma ModelDoing a double Wick rotation in the world sheet theory of the light cone superstring results in an inequivalent, so-called mirror theory that plays a central role in the field of integrability in the AdS-CFT correspondence. We show that this mirror theory can be interpreted as the light cone theory of a free string on a different background. This background is related to by a double -duality, and has hidden supersymmetry. The geometry can also be extracted from an integrable deformation of the sigma model, and we prove the observed mirror duality of these deformed models at the bosonic level as a byproduct. While we focus on , our results apply more generally.- 31 December 2014
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 113 (26) , 261605
Mirror Model as a String Sigma ModelDoing a double Wick rotation in the world sheet theory of the light cone superstring results in an inequivalent, so-called mirror theory that plays a central role in the field of integrability in the AdS-CFT correspondence. We show that this mirror theory can be interpreted as the light cone theory of a free string on a different background. This background is related to by a double -duality, and has hidden supersymmetry. The geometry can also be extracted from an integrable deformation of the sigma model, and we prove the observed mirror duality of these deformed models at the bosonic level as a byproduct. While we focus on , our results apply more generally.- 8 October 2014
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2014 (10) , 50
Deformed Neumann model from spinning strings on (AdS5 × S5) η
- 8 October 2014
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2014 (10) , 50
Deformed Neumann model from spinning strings on (AdS5 × S5) η
- Open Access
On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
We discuss the spectrum of a string propagating on eta-deformed AdS_5 x S^5 by treating its world-sheet 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 x S^5 world-sheet S-matrix with real deformation parameter. By considering mirror (double Wick-rotated) versions of these world-sheet 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 level of the string this appears to say 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 check of these statements at the level of the sigma model by considering reduced actions and their corresponding (mirror) giant magnon solutions.
Open AccessOn the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
We discuss the spectrum of a string propagating on eta-deformed AdS_5 x S^5 by treating its world-sheet 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 x S^5 world-sheet S-matrix with real deformation parameter. By considering mirror (double Wick-rotated) versions of these world-sheet 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 level of the string this appears to say 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 check of these statements at the level of the sigma model by considering reduced actions and their corresponding (mirror) giant magnon solutions.
- Open Access
- 1 April 2014
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2014 (4) , 1-24
S-matrix for strings on η-deformed AdS5 × S5
- 1 April 2014
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2014 (4) , 1-24
Open AccessS-matrix for strings on η-deformed AdS5 × S5
- Open Access
The Quantum Deformed Mirror TBA II
We discuss the description of generic excited states in the quantum deformed AdS_5 x S^5 mirror thermodynamic Bethe ansatz and derive the associated Y-system. This Y-system shows an interesting new feature; it depends explicitly on the excited state under consideration. Similarly, it also depends on twisted boundary conditions. We construct the asymptotic solution of these TBA and Y-system equations by deriving the twisted transfer matrix for the quantum deformed Hubbard model and finding the deformed mirror bound state dressing phase. This asymptotic construction is insensitive to the precise nature of the deformation, and thereby provides a nontrivial check of the interesting new features which arise precisely at roots of unity.
Open AccessThe Quantum Deformed Mirror TBA II
We discuss the description of generic excited states in the quantum deformed AdS_5 x S^5 mirror thermodynamic Bethe ansatz and derive the associated Y-system. This Y-system shows an interesting new feature; it depends explicitly on the excited state under consideration. Similarly, it also depends on twisted boundary conditions. We construct the asymptotic solution of these TBA and Y-system equations by deriving the twisted transfer matrix for the quantum deformed Hubbard model and finding the deformed mirror bound state dressing phase. This asymptotic construction is insensitive to the precise nature of the deformation, and thereby provides a nontrivial check of the interesting new features which arise precisely at roots of unity.
- Open Access
- 4 February 2013
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2013 (2) , 1-51
The quantum deformed mirror TBA II
- 4 February 2013
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2013 (2) , 1-51
Open AccessThe quantum deformed mirror TBA II
- Open Access
The Quantum Deformed Mirror TBA I
We derive the ground state thermodynamic Bethe ansatz equations for the quantum deformation of the AdS_5 x S^5 mirror model, taking the deformation parameter to be a root of unity. By virtue of the deformation, the resulting equations show an interesting structure between a finite number of Y-functions.
Open AccessThe Quantum Deformed Mirror TBA I
We derive the ground state thermodynamic Bethe ansatz equations for the quantum deformation of the AdS_5 x S^5 mirror model, taking the deformation parameter to be a root of unity. By virtue of the deformation, the resulting equations show an interesting structure between a finite number of Y-functions.