Preprints

1. “Quantum Geometry, Integrability, and Opers”
   P. Koroteev
   arXiv: [2312.17500][math.RT]
   Proceedings of Elliptic Integrable Systems and Representation Theory, to appear

Journal articles

1. “The Zoo of Opers and Dualities”
   P. Koroteev and A. Zeitlin
   arXiv: [2208.08031][math.AG]
   Int. Math. Res. Not. in press
2. “3d Mirror Symmetry for Instanton Moduli Spaces”
   P. Koroteev and A. Zeitlin.
   arXiv: [2105.00588[math.AG]
   Commun. Math. Phys. 403, 1005–1068 (2023).
3. “Branes and DAHA Representations”
   S. Gukov, P. Koroteev, D. Pei, S. Nawata, and I. Saberi.
   arXiv: [2206.03565][hep.th]
   SpringerBriefs, ISBN 978-3-031-28154-9 (2023).
4. “q-Opers, QQ-Systems and Bethe Ansatz II: Generalized Minors”
   P. Koroteev and A. Zeitlin.
   arXiv: [2108.04184][math.AG]
   J. Reine Angew. Math. (Crelle J.) (2023) 271.
5. “Double Inozemtsev Limits of the Quantum DELL System”
   arXiv: [2110.02157][hep.TH]
   Phys. Lett. B 826 (2022) 136919.
6. “Toroidal q-Opers”
   arXiv: 2007.11786[math.AG]
   J. of the Inst. of Math. of Jussieu, 1-62.
7. “Quantum K-theory of Quiver Varieties and Many-Body Systems”
   P. Koroteev, P. P. Pushkar, A. Smirnov and A. M. Zeitlin.
   arXiv:1705.10419 [math.AG]
   Selecta Math. 27 (2021) 87.
8. “q-Opers, QQ-System and Bethe Ansatz”
   E. Frenkel, P. Koroteev, D. Sage, and A. Zeitlin.
   arXiv: 2002.07344[math.AG]
   J. of Europ. Math. Soc., in press.
9. “A-type Quiver Varieties and ADHM Moduli Spaces”
   P. Koroteev.
   arXiv:1805.00986 [math.AG]
   Commun. Math. Phys. 381 (2021) 175.
10. “On Dimensional Transmutation in 1+1D Quantum Hydrodynamics”
    A. Gorsky, P. Koroteev, O. Koroteeva, and A. Vainshtein
    arXiv: 1910.02606[hep.TH]
J.Math.Phys. 61 (2020) 082302 .
11. “(SL(N),q)-opers, the q-Langlands correspondence, and quantum/classical duality”
    P. Koroteev, D. S. Sage and A. M. Zeitlin.
    arXiv: 1811.09937 [math.RT]
    Commun. Math. Phys. 381 (2021) 175.
12. “On Quiver W-algebras and Defects\from Gauge Origami”
    P. Koroteev
    arXiv: [1908.04394][hep.TH]
    DOI:10.1016/j.physletb.2019.135101
    J.Phys.Lett. B800 (2020) 10.
13. “The Quantum DELL System”
    P. Koroteev, S. Shakirov
    arXiv: [1906.10354][hep.TH]
    Lett. Math. Phys. 110 969-999 (2020).
14. “qKZ/tRS Duality via Quantum K-Theoretic Counts”
    P. Koroteev and A. M. Zeitlin.
    arXiv:1802.04463 [math.AG]
    Math.Res.Lett. 28 (2021) 435.
15. “On Elliptic Algebras and Large-n Supersymmetric Gauge Theories”
    P. Koroteev and A. Sciarappa.
    arXiv:1601.08238 [hep-th]
    DOI:10.1063/1.4966641
    J. Math. Phys. 57, no. 11, 112302 (2016)
16. “Quantum Hydrodynamics from Large-n Supersymmetric Gauge Theories”
    P. Koroteev and A. Sciarappa.
    arXiv:1510.00972 [hep-th]
    DOI:10.1007/s11005-017-0996-1
    Lett. Math. Phys. 108, no. 1, 45 (2018)
17. “Defects and Quantum Seiberg-Witten Geometry”
    M. Bullimore, H. C. Kim and P. Koroteev.
    arXiv:1412.6081 [hep-th]
    DOI:10.1007/JHEP05(2015)095
    JHEP 1505, 095 (2015)
18. “Resurgence and Holomorphy: From Weak to Strong Coupling”
    A. Cherman, P. Koroteev and M. Unsal.
    arXiv:1410.0388 [hep-th]
    DOI:10.1063/1.4921155
    J. Math. Phys. 56, no. 5, 053505 (2015)
19. “On Three Dimensional Quiver Gauge Theories and Integrability”
    D. Gaiotto and P. Koroteev.
    arXiv:1304.0779 [hep-th]
    DOI:10.1007/JHEP05(2013)126
    JHEP 1305, 126 (2013)
20. “Good IR Duals of Bad Quiver Theories”
    A. Dey and P. Koroteev.
    arXiv:1712.06068 [hep-th]
    DOI:10.1007/JHEP05(2018)114
    JHEP 1805, 114 (2018)
21. “On Three-Dimensional Quiver Gauge Theories of Type B”
    A. Dey, A. Hanany, P. Koroteev and N. Mekareeya.
    arXiv:1612.00810 [hep-th]
    DOI:10.1007/JHEP09(2017)067
    JHEP 1709, 067 (2017)
22. “Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold”
    P. Koroteev, M. Shifman and A. Yung.
    arXiv:1605.08433 [hep-th]
    DOI:10.1103/PhysRevD.94.065002
    Phys. Rev. D 94, no. 6, 065002 (2016)
23. “Studying Critical String Emerging from Non-Abelian Vortex in Four Dimensions”
    P. Koroteev, M. Shifman and A. Yung.
    arXiv:1605.01472 [hep-th]
    DOI:10.1016/j.physletb.2016.05.075
    Phys. Lett. B 759, 154 (2016)
24. “Mirror Symmetry in Three Dimensions via Gauged Linear Quivers”
    A. Dey, A. Hanany, P. Koroteev and N. Mekareeya.
    arXiv:1402.0016 [hep-th]
    DOI:10.1007/JHEP06(2014)059
    JHEP 1406, 059 (2014)
25. “Three Dimensional Mirror Symmetry and Integrability”
    P. Koroteev.
    DOI:10.1090/pspum/088/01468
    Proc. Symp. Pure Math. 88, 317 (2014).
26. “On the Integrability of Four Dimensional N=2 Gauge Theories in the Omega Background”
    H. Y. Chen, P. S. Hsin and P. Koroteev.
    arXiv:1305.5614
    DOI:10.1007/JHEP08(2013)076
    JHEP 1308, 076 (2013)
27. “Statistical mechanics of Coulomb gases as quantum theory on Riemann surfaces”
    T. Gulden, M. Janas, P. Koroteev and A. Kamenev.
    arXiv:1303.6386 [cond-mat.stat-mech]
    DOI:10.1134/S1063776113110095
    J. Exp. Theor. Phys. 117, 517 (2013)
28. “BPS States in Omega Background and Integrability”
    K. Bulycheva, H. Y. Chen, A. Gorsky and P. Koroteev.
    arXiv:1207.0460 [hep-th]
    DOI:10.1007/JHEP10(2012)116
    JHEP 1210, 116 (2012)
29. “On Extended Supersymmetry in Two and Four Dimensions”
    P. A. Koroteev.
    PhD Thesis
30. “Causality and Lifshitz holography”
    P. Koroteev.
    DOI:10.1016/j.nuclphysbps.2011.05.001
    Nucl. Phys. Proc. Suppl. 216, 245 (2011).
31. “Quantum Dynamics of Low-Energy Theory on Semilocal Non-Abelian Strings”
    P. Koroteev, M. Shifman, W. Vinci and A. Yung.
    arXiv:1107.3779 [hep-th]
    DOI:10.1103/PhysRevD.84.065018
    Phys. Rev. D 84, 065018 (2011)
32. “Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model”
    P. Koroteev, A. Monin and W. Vinci.
    arXiv:1009.6207 [hep-th]
    DOI:10.1103/PhysRevD.82.125023
    Phys. Rev. D 82, 125023 (2010)
33. “On the Null Energy Condition and Causality in Lifshitz Holography”
    C. Hoyos and P. Koroteev.
    arXiv:1007.1428 [hep-th]
    DOI:10.1103/PhysRevD.82.109905, 10.1103/PhysRevD.82.084002
    Phys. Rev. D 82, 084002 (2010), Erratum: [Phys. Rev. D 82, 109905 (2010)]
34. “Large-N Solution of the Heterotic N=(0,1) Two-Dimensional O(N) Sigma Model”
    P. Koroteev and A. Monin.
    arXiv:1003.2645 [hep-th]
    DOI:10.1103/PhysRevD.81.105001
    Phys. Rev. D 81, 105001 (2010)
35. “Wilson Loops in Gravity Duals of Lifshitz-like Theories”
    P. Koroteev and A. V. Zayakin.
    arXiv:0909.2551 [hep-th]
    ITEP-TH-40-09, FTPI-MINN-09-33, UMN-TH-2813-09
36. “Comments on Holography with Broken Lorentz Invariance”
    I. Gordeli and P. Koroteev.
    arXiv:0904.0509 [hep-th]
    DOI:10.1103/PhysRevD.80.126001
    Phys. Rev. D 80, 126001 (2009)
37. “Spectra of Field Fluctuations in Braneworld Models with Broken Bulk Lorentz Invariance”
    P. Koroteev and M. Libanov.
    arXiv:0901.4347 [hep-th]
    DOI:10.1103/PhysRevD.79.045023
    Phys. Rev. D 79, 045023 (2009)
38. “Integrable systems and quantum deformations”
    P. Koroteev.
    DOI:10.1063/1.3293858
    AIP Conf. Proc. 1182, 513 (2009).
39. “Quantum Deformations of the One-Dimensional Hubbard Model”
    N. Beisert and P. Koroteev.
    arXiv:0802.0777 [hep-th]
    DOI:10.1088/1751-8113/41/25/255204
    J. Phys. A 41, 255204 (2008)
40. “On Existence of Self-Tuning Solutions in Static Braneworlds without Singularities”
    P. Koroteev and M. Libanov.
    arXiv:0712.1136 [hep-th]
    DOI:10.1088/1126-6708/2008/02/104
    JHEP 0802, 104 (2008)
41. “Morse theory in field theory”
    P. Koroteev and A. V. Zayakin.
    hep-th/0508153
    DOI:10.7546/giq-8-2007-207-220
    207–220, Softex, Sofia, Bulgaria, 2007