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BPS states in omega background and integrability

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Abstract

We reconsider string and domain wall central charges in \( \mathcal{N} \) = 2 supersymmetric gauge theories in four dimensions in presence of the Omega background in the Nekrasov-Shatashvili (NS) limit. Existence of these charges entails presence of the corresponding topological defects in the theory — vortices and domain walls. In spirit of the 4d/2d duality we discuss the worldsheet low energy effective theory living on the BPS vortex in \( \mathcal{N} \) =2 Supersymmetric Quantum Chromodynamics (SQCD). We discuss some aspects of the brane realization of the dualities between various quantum integrable models. A chain of such dualities enables us to check the AGT correspondence in the NS limit.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Institutskii Per. 9a, Dolgoprudny, 141701, Russia

    Kseniya Bulycheva

  2. Institute for Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya, 25, Moscow, 117218, Russia

    Kseniya Bulycheva & Alexander Gorsky

  3. University of Minnesota, School of Physics and Astronomy, 116 Church Street S.E, Minneapolis, MN, 55455, U.S.A

    Alexander Gorsky & Peter Koroteev

  4. Kavli Institute for Theoretical Physics, Santa Barbara, CA, 93106-4030, U.S.A

    Peter Koroteev

  5. Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan

    Heng-yu Chen

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  1. Kseniya Bulycheva
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  2. Heng-yu Chen
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Correspondence to Heng-yu Chen.

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Bulycheva, K., Chen, Hy., Gorsky, A. et al. BPS states in omega background and integrability. J. High Energ. Phys. 2012, 116 (2012). https://doi.org/10.1007/JHEP10(2012)116

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