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Mironov, A.; Mishnyakov, V.; Morozov, A.; Zakirova, Z. AGT correspondence, (\(q\)-)Painlevè equations and matrix models. (English) Zbl 1516.81117 Nucl. Phys., B 985, Article ID 116022, 27 p. (2022). MSC: 81R12 81T32 34M55 70S15 81U20 PDFBibTeX XMLCite \textit{A. Mironov} et al., Nucl. Phys., B 985, Article ID 116022, 27 p. (2022; Zbl 1516.81117) Full Text: DOI arXiv
Bonelli, Giulio; Del Monte, Fabrizio; Gavrylenko, Pavlo; Tanzini, Alessandro Circular quiver gauge theories, isomonodromic deformations and \(W_N\) fermions on the torus. (English) Zbl 1509.81561 Lett. Math. Phys. 111, No. 3, Paper No. 83, 38 p. (2021). MSC: 81T13 81Q80 14D15 34M56 70S15 81R12 14M25 81V74 PDFBibTeX XMLCite \textit{G. Bonelli} et al., Lett. Math. Phys. 111, No. 3, Paper No. 83, 38 p. (2021; Zbl 1509.81561) Full Text: DOI arXiv
Teschner, Jörg A guide to two-dimensional conformal field theory. (English) Zbl 1446.81037 Dorey, Patrick (ed.) et al., Integrability: from statistical systems to gauge theory. Lecture notes of the Les Houches summer school. Volume 106, Les Houches, France, June 6 – July 1, 2016. Oxford: Oxford University Press. 60-120 (2019). MSC: 81T40 81U20 81R12 17B68 34M56 PDFBibTeX XMLCite \textit{J. Teschner}, in: Integrability: from statistical systems to gauge theory. Lecture notes of the Les Houches summer school. Volume 106, Les Houches, France, June 6 -- July 1, 2016. Oxford: Oxford University Press. 60--120 (2019; Zbl 1446.81037) Full Text: DOI arXiv Link
Chacón, Erick; García-Compeán, Hugo Self-dual gravity via Hitchin’s equations. (English) Zbl 1419.83048 J. Math. Phys. 60, No. 5, 052502, 19 p. (2019). MSC: 83D05 83C15 81R12 70S15 53Z05 83C45 83C80 35Q55 34M55 PDFBibTeX XMLCite \textit{E. Chacón} and \textit{H. García-Compeán}, J. Math. Phys. 60, No. 5, 052502, 19 p. (2019; Zbl 1419.83048) Full Text: DOI arXiv
Ito, Katsushi; Mariño, Marcos; Shu, Hongfei TBA equations and resurgent quantum mechanics. (English) Zbl 1409.81043 J. High Energy Phys. 2019, No. 1, Paper No. 228, 45 p. (2019). MSC: 81Q05 81T45 81R12 81T16 81Q20 34L15 34E20 35P20 PDFBibTeX XMLCite \textit{K. Ito} et al., J. High Energy Phys. 2019, No. 1, Paper No. 228, 45 p. (2019; Zbl 1409.81043) Full Text: DOI arXiv
Belliard, Raphaël; Eynard, Bertrand From the quantum geometry of Fuchsian systems to conformal blocks of W-algebras. arXiv:1907.10543 Preprint, arXiv:1907.10543 [math-ph] (2019). MSC: 17B60 17B80 17B81 30F30 37K10 32L05 34M55 81R10 81T40 BibTeX Cite \textit{R. Belliard} and \textit{B. Eynard}, ``From the quantum geometry of Fuchsian systems to conformal blocks of W-algebras'', Preprint, arXiv:1907.10543 [math-ph] (2019) Full Text: arXiv OA License
Dumitrescu, Olivia; Mulase, Motohico Lectures on the topological recursion for Higgs bundles and quantum curves. (English) Zbl 1401.14001 Wentworth, Richard (ed.) et al., The geometry, topology and physics of moduli spaces of Higgs bundles. Based on minicourses from the program on “The geometry, topology and physics of moduli spaces of Higgs bundles”, IMS, Singapore, July 7 – August 29, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-3229-08-2/hbk; 978-981-3229-10-5/ebook). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 36, 103-198 (2018). MSC: 14-01 81-01 81T45 14H70 14H81 14H15 14N35 15B52 14F10 14J26 33C05 33C10 33C15 34M60 53D37 PDFBibTeX XMLCite \textit{O. Dumitrescu} and \textit{M. Mulase}, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 36, 103--198 (2018; Zbl 1401.14001) Full Text: DOI arXiv
Bonelli, Giulio; Lisovyy, Oleg; Maruyoshi, Kazunobu; Sciarappa, Antonio; Tanzini, Alessandro On Painlevé/gauge theory correspondence. (English) Zbl 1380.34130 Lett. Math. Phys. 107, No. 12, 2359-2413 (2017). MSC: 34M55 34M56 81T60 14H70 PDFBibTeX XMLCite \textit{G. Bonelli} et al., Lett. Math. Phys. 107, No. 12, 2359--2413 (2017; Zbl 1380.34130) Full Text: DOI arXiv
Piątek, Marcin; Pietrykowski, Artur R. Classical limit of irregular blocks and Mathieu functions. (English) Zbl 1388.81364 J. High Energy Phys. 2016, No. 1, Paper No. 115, 44 p. (2016). MSC: 81T13 81T40 34L15 34L40 PDFBibTeX XMLCite \textit{M. Piątek} and \textit{A. R. Pietrykowski}, J. High Energy Phys. 2016, No. 1, Paper No. 115, 44 p. (2016; Zbl 1388.81364) Full Text: DOI arXiv
Panigrahi, Kamal L.; Samal, Manoranjan Chaos in classical string dynamics in \(\Hat{\gamma}\) deformed \(\mathrm{AdS}_5 \times T^{1,1}\). (English) Zbl 1368.81131 Phys. Lett., B 761, 475-481 (2016). MSC: 81T30 34D08 70K55 34D45 70H08 37J40 83E30 PDFBibTeX XMLCite \textit{K. L. Panigrahi} and \textit{M. Samal}, Phys. Lett., B 761, 475--481 (2016; Zbl 1368.81131) Full Text: DOI arXiv
Iorgov, N.; Lisovyy, O.; Shchechkin, A.; Tykhyy, Y. Painlevé functions and conformal blocks. (English) Zbl 1316.34096 Constr. Approx. 39, No. 1, 255-272 (2014). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 81R12 81T40 34M40 PDFBibTeX XMLCite \textit{N. Iorgov} et al., Constr. Approx. 39, No. 1, 255--272 (2014; Zbl 1316.34096) Full Text: DOI
Gamayun, O.; Iorgov, N.; Lisovyy, O. Conformal field theory of Painlevé VI. (English) Zbl 1397.81307 J. High Energy Phys. 2012, No. 10, Paper No. 38, 25 p. (2012); erratum ibid. 2012, No. 10, Paper No. 183, 2 p. (2012). MSC: 81T40 34M55 PDFBibTeX XMLCite \textit{O. Gamayun} et al., J. High Energy Phys. 2012, No. 10, Paper No. 38, 25 p. (2012; Zbl 1397.81307) Full Text: DOI arXiv
Nagoya, Hajime Realizations of affine Weyl group symmetries on the quantum Painlevé equations by fractional calculus. (English) Zbl 1260.81118 Lett. Math. Phys. 102, No. 3, 297-321 (2012). MSC: 81R12 81T40 17B81 32G34 34M55 PDFBibTeX XMLCite \textit{H. Nagoya}, Lett. Math. Phys. 102, No. 3, 297--321 (2012; Zbl 1260.81118) Full Text: DOI
Basor, Estelle; Chen, Yang; Mekareeya, Noppadol The Hilbert series of \(\mathcal{N}=1\) \(SO(N_c)\) and \(Sp(N_c)\) SQCD, Painlevé VI and integrable systems. (English) Zbl 1246.81419 Nucl. Phys., B 860, No. 3, 421-463 (2012). MSC: 81V05 81T60 47B35 15B52 81R12 34M55 14D21 PDFBibTeX XMLCite \textit{E. Basor} et al., Nucl. Phys., B 860, No. 3, 421--463 (2012; Zbl 1246.81419) Full Text: DOI arXiv
Chan, Chuan-Tsung; Irie, Hirotaka; Yeh, Chi-Hsien Stokes phenomena and quantum integrability in non-critical string/M theory. (English) Zbl 1229.81227 Nucl. Phys., B 855, No. 1, 46-81 (2012). MSC: 81T30 81R12 14D05 34M35 PDFBibTeX XMLCite \textit{C.-T. Chan} et al., Nucl. Phys., B 855, No. 1, 46--81 (2012; Zbl 1229.81227) Full Text: DOI arXiv
Skrypnyk, T. Isomonodromic deformations, generalized Knizhnik-Zamolodchikov equations and non-skew-symmetric classical \(r\)-matrices. (English) Zbl 1312.37045 J. Math. Phys. 51, No. 8, 083516, 24 p. (2010). MSC: 37K10 37F30 34M56 37C60 81T40 81R10 PDFBibTeX XMLCite \textit{T. Skrypnyk}, J. Math. Phys. 51, No. 8, 083516, 24 p. (2010; Zbl 1312.37045) Full Text: DOI
Mironov, A.; Morozov, A. Nekrasov functions and exact Bohr-Sommerfeld integrals. (English) Zbl 1272.81180 J. High Energy Phys. 2010, No. 4, Paper No. 040, 15 p. (2010). MSC: 81T45 81T13 81R60 37K10 35Q55 34M35 PDFBibTeX XMLCite \textit{A. Mironov} and \textit{A. Morozov}, J. High Energy Phys. 2010, No. 4, Paper No. 040, 15 p. (2010; Zbl 1272.81180) Full Text: arXiv
Dorey, Patrick; Dunning, Clare; Masoero, Davide; Suzuki, Junji; Tateo, Roberto ABCD and ODEs. (English) Zbl 1179.82049 Sidoravičius, Vladas (ed.), New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5–11, 2006. Dordrecht: Springer (ISBN 978-90-481-2809-9/hbk; 978-90-481-2810-5/ebook). 685-695 (2009). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B23 81T40 34-06 PDFBibTeX XMLCite \textit{P. Dorey} et al., in: New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5--11, 2006. Dordrecht: Springer. 685--695 (2009; Zbl 1179.82049) Full Text: DOI arXiv Link
Dorey, Patrick; Dunning, Clare; Tateo, Roberto The ODE/IM correspondence. (English) Zbl 1002.82011 Ahn, Changrim (ed.) et al., Integrable quantum field theories and their applications. Proceedings of the APCTP winter school, Cheju Island, Republic of Korea, February 28-March 4, 2000. Singapore: World Scientific. 74-107 (2001). MSC: 82B23 34M60 81V70 PDFBibTeX XMLCite \textit{P. Dorey} et al., in: Integrable quantum field theories and their applications. Proceedings of the APCTP winter school, Cheju Island, Republic of Korea, February 28--March 4, 2000. Singapore: World Scientific. 74--107 (2001; Zbl 1002.82011) Full Text: arXiv
Dorey, Patrick; Dunning, Clare; Tateo, Roberto Ordinary differential equations and integrable quantum field theories. (English) Zbl 1008.81069 Horváth, Zalán (ed.) et al., Non-perturbative QFT methods and their applications. Proceedings of the 24th Johns Hopkins workshop on current problems in particle theory 24, Budapest, Hungary, August 19-21, 2000. Singapore: World Scientific. 173-198 (2001). Reviewer: Hideo Yamagata (Osaka) MSC: 81T25 81T10 81R12 34M40 PDFBibTeX XMLCite \textit{P. Dorey} et al., in: Non-perturbative QFT methods and their applications. Proceedings of the 24th Johns Hopkins workshop on current problems in particle theory 24, Budapest, Hungary, August 19--21, 2000. Singapore: World Scientific. 173--198 (2001; Zbl 1008.81069)
Dorey, Patrick; Dunning, Clare; Tateo, Roberto Differential equations for general \(\text{SU}(n)\) Bethe ansatz systems. (English) Zbl 0961.81043 J. Phys. A, Math. Gen. 33, No. 47, 8427-8441 (2000). MSC: 81T10 34C15 81R12 PDFBibTeX XMLCite \textit{P. Dorey} et al., J. Phys. A, Math. Gen. 33, No. 47, 8427--8441 (2000; Zbl 0961.81043) Full Text: DOI arXiv
Dorey, Patrick; Tateo, Roberto Differential equations and integrable models: the \(\text{SU}(3)\) case. (English) Zbl 0947.81034 Nucl. Phys., B 571, No. 3, 583-606 (2000). MSC: 81T10 34A99 81R12 81T40 PDFBibTeX XMLCite \textit{P. Dorey} and \textit{R. Tateo}, Nucl. Phys., B 571, No. 3, 583--606 (2000; Zbl 0947.81034) Full Text: DOI arXiv
Lychagin, V. Quantum mechanics on manifolds. (English) Zbl 0930.35149 Acta Appl. Math. 56, No. 2-3, 231-251 (1999). MSC: 35Q40 81S10 81T13 81R12 34L40 PDFBibTeX XMLCite \textit{V. Lychagin}, Acta Appl. Math. 56, No. 2--3, 231--251 (1999; Zbl 0930.35149) Full Text: DOI
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