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T-system on T-hook: Grassmannian solution and twisted Quantum Spectral Curve
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2016, no 12, article id 44Article in journal (Refereed) Published
Abstract [en]

We propose an efficient grassmannian formalism for solution of bi-linear finite-difference Hirota equation (T-system) on T-shaped lattices related to the space of highest weight representations of gl(K1, K2|M) superalgebra. The formalism is inspired by the quantum fusion procedure known from the integrable spin chains and is based on exterior forms of Baxter-like Q-functions. We find a few new interesting relations among the exterior forms of Q-functions and reproduce, using our new formalism, the Wronskian determinant solutions of Hirota equations known in the literature. Then we generalize this construction to the twisted Q-functions and demonstrate the subtleties of untwisting procedure on the examples of rational quantum spin chains with twisted boundary conditions. Using these observations, we generalize the recently discovered, in our paper with N. Gromov, AdS/CFT Quantum Spectral Curve for exact planar spectrum of AdS/CFT duality to the case of arbitrary Cartan twisting of AdS5×S5 string sigma model. Finally, we successfully probe this formalism by reproducing the energy of gamma-twisted BMN vacuum at single-wrapping orders of weak coupling expansion.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 2016, no 12, article id 44
Keywords [en]
AdS-CFT Correspondence, Bethe Ansatz, Integrable Field Theories, Supersymmetric gauge theory
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-201884DOI: 10.1007/JHEP12(2016)044ISI: 000399289600007Scopus ID: 2-s2.0-85006324648OAI: oai:DiVA.org:kth-201884DiVA, id: diva2:1079316
Note

QC 20170308

Available from: 2017-03-08 Created: 2017-03-08 Last updated: 2017-06-02Bibliographically approved

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