Euclidean M-theory background dual to three-dimensional scale invariant field theory without conformal invariance

Abstract

We show that eleven dimensional supergravity in Euclidean signature admits an exact classical solution with isometry corresponding to a three dimensional scale invariant field theory without conformal invariance. We also construct the holographic renormalization group flow that connects the known UV conformal fixed point and the new scale invariant but not conformal fixed point. In view of holography, the existence of such classical solutions suggests that the topologically twisted M2-brane gauge theory possesses a scale invariant but not conformal phase.

9 pages, v2: reference added

References in corpus (5)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Scale vs Conformal invariance from Entanglement Entropy
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Cited by in corpus (3)

• Scale without Conformal Invariance in Dipolar Ferromagnets
• Interacting scale but non-conformal field theories
• Scale without Conformal Invariance in bottom-up Holography