Geometry of 6D RG flows View Full Text


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Article Info

DATE

2015-09

AUTHORS

Jonathan J. Heckman, David R. Morrison, Tom Rudelius, Cumrun Vafa

ABSTRACT

We study renormalization group flows between six-dimensional superconformal field theories (SCFTs) using their geometric realizations as singular limits of F-theory compactified on elliptically fibered Calabi-Yau threefolds. There are two general types of flows: one corresponds to giving expectation values to scalars in the tensor multiplets (tensor branch flow) realized as resolving the base of the geometry. The other corresponds to giving expectation values to hypermultiplets (Higgs branch flow) realized as complex structure deformations of the geometry. To corroborate this physical picture we calculate the change in the anomaly polynomial for these theories, finding strong evidence for a flow from a UV fixed point to an IR fixed point. Moreover, we find evidence against non-trivial dualities for 6D SCFTs. In addition we find non-trivial RG flows for theories realizing small E8 instantons on ALE spaces. More... »

PAGES

52

References to SciGraph publications

  • 2014-10. 6d, N=1,0 Coulomb branch anomaly matching in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-12. Holography for (1,0) theories in six dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-01-23. GUTs and exceptional branes in F-theory — I in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-06. 6D SCFTs and gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-05. On the classification of 6D SCFTs and generalized ADE orbifolds in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-02. 6d Conformal matter in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-08. Anomaly polynomial of E-string theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-05. T-branes and geometry in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-09-07. Non-abelian tensor-multiplet anomalies in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-03-21. Branes at orbifolds versus Hanany Witten in six dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 1991-03. On minimal models of elliptic threefolds in MATHEMATISCHE ANNALEN
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep09(2015)052

    DOI

    http://dx.doi.org/10.1007/jhep09(2015)052

    DIMENSIONS

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