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Pan, Yiwen
Publications (7 of 7) Show all publications
Nieri, F., Pan, Y. & Zabzine, M. (2019). q-Virasoro Modular Triple. Communications in Mathematical Physics, 366(1), 397-422
Open this publication in new window or tab >>q-Virasoro Modular Triple
2019 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 366, no 1, p. 397-422Article in journal (Refereed) Published
Abstract [en]

Inspired by 5d supersymmetric Yang-Mills theories placed on the compact space S5, we propose an intriguing algebraic construction for the q-Virasoro algebra. We show that, when multiple q-Virasoro chiral sectors have to be fused together, a natural SL(3,Z) structure arises. This construction, which we call the modular triple, is consistent with the observed triple factorization properties of supersymmetric partition functions derived from localization arguments. We also give a 2d CFT-like construction of the modular triple, and conjecture for the first time a (non-local) Lagrangian formulation for a q-Virasoro model, resembling ordinary Liouville theory.

National Category
Subatomic Physics Mathematical Analysis
Identifiers
urn:nbn:se:uu:diva-379942 (URN)10.1007/s00220-019-03371-1 (DOI)000460545700010 ()
Funder
Swedish Research Council, 2014-5517Knut and Alice Wallenberg Foundation
Available from: 2019-03-26 Created: 2019-03-26 Last updated: 2019-03-26Bibliographically approved
Nieri, F., Pan, Y. & Zabzine, M. (2018). 3d expansions of 5d instanton partition functions. Journal of High Energy Physics (JHEP) (4), Article ID 092.
Open this publication in new window or tab >>3d expansions of 5d instanton partition functions
2018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 4, article id 092Article in journal (Refereed) Published
Abstract [en]

We propose a set of novel expansions of Nekrasov's instanton partition functions. Focusing on 5d supersymmetric pure Yang-Mills theory with unitary gauge group on C-q,t(2) 1 x S-1, we show that the instanton partition function admits expansions in terms of partition functions of unitary gauge theories living on the 3d subspaces C-q x S-1, Ct-1 x S-1 and their intersection along S-1. These new expansions are natural from the BPS/CFT viewpoint, as they can be matched with W-q,W-t correlators involving an arbitrary number of screening charges of two kinds. Our constructions generalize and interpolate existing results in the literature.

Keywords
Matrix Models, Solitons Monopoles and Instantons, Supersymmetric Gauge Theory
National Category
Subatomic Physics
Identifiers
urn:nbn:se:uu:diva-354119 (URN)10.1007/JHEP04(2018)092 (DOI)000430567800012 ()
Funder
Swedish Research Council, W2014-5517Knut and Alice Wallenberg Foundation
Available from: 2018-06-19 Created: 2018-06-19 Last updated: 2018-06-26Bibliographically approved
Nieri, F., Pan, Y. & Zabzine, M. (2018). 3D mirror symmetry from S-duality. Physical Review D. Particles and fields, D98(12)
Open this publication in new window or tab >>3D mirror symmetry from S-duality
2018 (English)In: Physical Review D. Particles and fields, ISSN 0556-2821, E-ISSN 1089-4918, Vol. D98, no 12Article in journal (Refereed) Published
Abstract [en]

We consider type IIB SL(2, Z) symmetry to relate the partition functions of different 5d supersymmetric Abelian linear quiver Yang-Mills theories in the Omega-background and squashed S-5 background. By Higgsing S-dual theories, we extract new and old 3d mirror pairs. Generically, the Higgsing procedure yields 3d defects on intersecting spaces, and we derive new hyperbolic integral identities expressing the equivalence of the squashed S-3 partition functions with additional degrees of freedom on the S-1 intersection.

National Category
Subatomic Physics
Identifiers
urn:nbn:se:uu:diva-371299 (URN)10.1103/PhysRevD.98.126002 (DOI)000452327900005 ()
Funder
Swedish Research CouncilKnut and Alice Wallenberg FoundationThe Swedish Foundation for International Cooperation in Research and Higher Education (STINT)
Available from: 2018-12-20 Created: 2018-12-20 Last updated: 2019-01-22Bibliographically approved
Nieri, F., Pan, Y. & Zabzine, M. (2018). Bootstrapping the S-5 partition function. In: EPJ Web of Conferences: XXth International Seminar on High Energy Physics (QUARKS-2018). Paper presented at 20th International Seminar on High Energy Physics (QUARKS-2018), Valday, Russia, May 27-June 2, 2018. EDP Sciences, 191, Article ID 06005.
Open this publication in new window or tab >>Bootstrapping the S-5 partition function
2018 (English)In: EPJ Web of Conferences: XXth International Seminar on High Energy Physics (QUARKS-2018), EDP Sciences, 2018, Vol. 191, article id 06005Conference paper, Published paper (Refereed)
Abstract [en]

We consider U(N) SQCD on S-5 and propose a Higgs branch-like expression for its partition function. We support the result by arguing that the knowledge of certain BPS codimension 2 and 4 defects arising from Higgsing is enough to reconstruct the bulk partition function, and that the defect partition functions satisfy a set of non-perturbative Schwinger-Dyson equations. We show that the result is consistent with, and naturally come from, the BPS/CRT perspective. In this language, the defect partition functions are identified with free boson correlators of the q-Virasoro modular triple, and the constraint equations with Ward identities satisfied by the corresponding Dotsenko-Fateev q-conformal blocks, providing a natural basis to expand the S-5 partition function.

Place, publisher, year, edition, pages
EDP Sciences, 2018
Series
EPJ Web of Conferences, E-ISSN 2100-014X
National Category
Subatomic Physics
Identifiers
urn:nbn:se:uu:diva-371307 (URN)10.1051/epjconf/201819106005 (DOI)000482971700071 ()
Conference
20th International Seminar on High Energy Physics (QUARKS-2018), Valday, Russia, May 27-June 2, 2018
Funder
Swedish Research Council, 2014-5517Knut and Alice Wallenberg FoundationThe Swedish Foundation for International Cooperation in Research and Higher Education (STINT)
Available from: 2018-12-20 Created: 2018-12-20 Last updated: 2019-10-25Bibliographically approved
Pan, Y. & Peelaers, W. (2018). Chiral algebras, localization and surface defects. Journal of High Energy Physics (JHEP) (2), Article ID 138.
Open this publication in new window or tab >>Chiral algebras, localization and surface defects
2018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 138Article in journal (Refereed) Published
Abstract [en]

Four-dimensional N = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra. Using localization techniques, we show for the free hypermultiplet that this structure can be accessed directly from the path integral on the four-sphere. We extend the localization computation to include supersymmetric surface defects described by a generic 4d/2d coupled system. The presence of a defect corresponds to considering a module of the chiral algebra: our results provide a calculational window into its structure constants.

Keywords
Conformal Field Theory, Supersymmetric Gauge Theory, Extended Supersymmetry, Supersymmetry and Duality
National Category
Physical Sciences
Identifiers
urn:nbn:se:uu:diva-350541 (URN)10.1007/JHEP02(2018)138 (DOI)000426357800003 ()
Available from: 2018-05-21 Created: 2018-05-21 Last updated: 2018-05-21Bibliographically approved
Pan, Y. & Peelaers, W. (2017). Intersecting surface defects and instanton partition functions. Journal of High Energy Physics (JHEP) (7), Article ID 073.
Open this publication in new window or tab >>Intersecting surface defects and instanton partition functions
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 7, article id 073Article in journal (Refereed) Published
Abstract [en]

We analyze intersecting surface defects inserted in interacting four-dimensional N = 2 supersymmetric quantum field theories. We employ the realization of a class of such systems as the infrared fixed points of renormalization group flows from larger theories, triggered by perturbed Seiberg-Witten monopole-like configurations, to compute their partition functions. These results are cast into the form of a partition function of 4d/2d/0d coupled systems. Our computations provide concrete expressions for the instanton partition function in the presence of intersecting defects and we study the corresponding ADHM model.

Keywords
Extended Supersymmetry, Nonperturbative Effects, Solitons Monopoles and Instantons, Supersymmetric Gauge Theory
National Category
Physical Sciences
Identifiers
urn:nbn:se:uu:diva-332426 (URN)10.1007/JHEP07(2017)073 (DOI)000405920200008 ()
Funder
Knut and Alice Wallenberg FoundationSwedish Research Council, 2014-5517
Available from: 2017-11-02 Created: 2017-11-02 Last updated: 2017-11-02Bibliographically approved
Gomis, J., Le Floch, B., Pan, Y. & Peelaers, W. (2017). Intersecting surface defects and two-dimensional CFT. Physical Review D: covering particles, fields, gravitation, and cosmology, 96(4), Article ID 045003.
Open this publication in new window or tab >>Intersecting surface defects and two-dimensional CFT
2017 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 96, no 4, article id 045003Article in journal (Refereed) Published
Abstract [en]

We initiate the study of intersecting surface operators/defects in 4D quantum field theories (QFTs). We characterize these defects by coupled 4D/2D/0D theories constructed by coupling the degrees of freedom localized at a point and on intersecting surfaces in spacetime to each other and to the 4D QFT. We construct supersymmetric intersecting surface defects preserving just two supercharges in N = 2 gauge theories. These defects are amenable to exact analysis by localization of the partition function of the underlying 4D/2D/0D QFT. We identify the 4D/2D/0D QFTs that describe intersecting surface operators in N = 2 gauge theories realized by intersecting M2 branes ending on N M5 branes wrapping a Riemann surface. We conjecture and provide evidence for an explicit equivalence between the squashed four-sphere partition function of these intersecting defects and correlation functions in Liouville/Toda CFT with the insertion of arbitrary degenerate vertex operators, which are labeled by two representations of SU(N).

National Category
Physical Sciences
Identifiers
urn:nbn:se:uu:diva-333068 (URN)10.1103/PhysRevD.96.045003 (DOI)000406756000004 ()
Funder
Swedish Research Council, 2014-5517
Available from: 2017-11-09 Created: 2017-11-09 Last updated: 2017-11-29Bibliographically approved
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