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Boomerang RG flows in M-theory with intermediate scaling.

Donos, Aristomenis and Gauntlett, Jerome P. and Rosen, Christopher and Sosa-Rodriguez, Omar (2017) 'Boomerang RG flows in M-theory with intermediate scaling.', Journal of high energy physics., 2017 (7). p. 128.


We construct novel RG flows of D=11 supergravity that asymptotically approach AdS4 × S7 in the UV with deformations that break spatial translations in the dual field theory. In the IR the solutions return to exactly the same AdS4 × S7 vacuum, with a renormalisation of relative length scales, and hence we refer to the flows as ‘boomerang RG flows’. For sufficiently large deformations, on the way to the IR the solutions also approach two distinct intermediate scaling regimes, each with hyperscaling violation. The first regime is Lorentz invariant with dynamical exponent z = 1 while the second has z = 5/2. Neither ofthe two intermediatescaling regimesare associatedwith exact hyperscaling violation solutions of D = 11 supergravity. The RG flow solutions are constructed using the four dimensional N = 2 STU gauged supergravity theory with vanishing gauge fields, but non-vanishing scalar and pseudoscalar fields. In the ABJM dual field theory the flows are driven by spatially modulated deformation parameters for scalar and fermion bilinear operators.

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Publisher statement:© The Author(s) 2017 Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:08 July 2017
Date deposited:16 August 2017
Date of first online publication:26 July 2017
Date first made open access:16 August 2017

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