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Two dimensional RG flows and Yang-Mills instantons

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Abstract

We study RG flow solutions in (1,0) six dimensional supergravity coupled to an anti-symmetric tensor and Yang-Mills multiplets corresponding to a semisimple group G. We turn on G instanton gauge fields, with instanton number N, in the conformally flat part of the 6D metric. The solution interpolates between two (4,0) supersymmetric AdS 3 × S 3 backgrounds with two different values of AdS 3 and S 3 radii and describes an RG flow in the dual 2D SCFT. For the single instanton case and G = SU(2), there exist a consistent reduction ansatz to three dimensions, and the solution in this case can be interpreted as an uplifted 3D solution. Correspondingly, we present the solution in the framework of N = 4 (SU(2) ⋉ R 3)2 three dimensional gauged supergravity. The flows studied here are of v.e.v. type, driven by a vacuum expectation value of a (not exactly) marginal operator of dimension two in the UV. We give an interpretation of the supergravity solution in terms of the D1/D5 system in type I string theory on K3, whose effective field theory is expected to flow to a (4,0) SCFT in the infrared.

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Authors and Affiliations

  1. INFN, Sezione di Trieste, Trieste, Italy

    Edi Gava & Parinya Karndumri

  2. International School for Advanced Studies (SISSA), via Bonomea 265, 34136, Trieste, Italy

    Parinya Karndumri

  3. The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34100, Trieste, Italy

    K. S. Narain

Authors
  1. Edi Gava
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  2. Parinya Karndumri
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  3. K. S. Narain
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Correspondence to Parinya Karndumri.

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ArXiv ePrint: 1012.4953

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Gava, E., Karndumri, P. & Narain, K.S. Two dimensional RG flows and Yang-Mills instantons. J. High Energ. Phys. 2011, 106 (2011). https://doi.org/10.1007/JHEP03(2011)106

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  • DOI: https://doi.org/10.1007/JHEP03(2011)106

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