RG flows and cascades of Lif4(2) × S 1 × S 5 vacua

Abstract

Abstract The (F1,D2,D8) brane configuration produces Lif4(2) × S 1 × S 5 Lifshitz vacua supported by ‘massive’ B-field. We present exact deformations of this system under which new massless B-modes of strings also get excited. Due to these massless modes the deformed solutions flow to conformally Lif4(3) × S 1 × S 5 vacua in the IR. The latter types are supersymmetric solutions of ordinary type IIA theory. The massive and massless B μν modes segregate out in the IR. We confirm that the massive B mode and cosmological constant indeed decouple from the theory rendering the IR field dynamics controlled by massless fields only. A similar effect is observed on the UV side of the flow where a relativistic regime reappears. We also present ‘cascading’ Lifshitz vacua in which dynamical exponent has integral jumps along the flow; Lif4(3) → Lif4(2) → Lif4(1). The critical Lif4(2) theory separates ‘deconfining’ Lif4(3) IR theory from the confining Yang-Mills phase in UV.

Keywords

• AdS-CFT Correspondence
• D-branes
• Flux compactifications
• Holography and condensed matter physics (AdS/CMT)