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Intersecting surface defects and two-dimensional CFT
Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada..
Princeton Univ, Princeton Ctr Theoret Sci, Princeton, NJ 08544 USA..
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Rutgers State Univ, New High Energy Theory Ctr, Piscataway, NJ 08854 USA..
2017 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 96, no 4, 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).

Place, publisher, year, edition, pages
2017. Vol. 96, no 4, 045003
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-333068DOI: 10.1103/PhysRevD.96.045003ISI: 000406756000004OAI: oai:DiVA.org:uu-333068DiVA: diva2:1155755
Funder
Swedish Research Council, 2014-5517
Available from: 2017-11-09 Created: 2017-11-09 Last updated: 2017-11-09Bibliographically approved

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Pan, Yiwen

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