RG flows and cascades of $Lif_4^{(2)}\times S^1\times S^5$ vacua

Harvendra Singh

doi:10.1007/JHEP09(2018)120

paper

RG flows and cascades of $L i f_{4}^{(2)} \times S^{1} \times S^{5}$ vacua

arXiv:1805.05163 · doi:10.1007/JHEP09(2018)120

Abstract

The (F1,D2,D8) brane configuration produces $L i f_{4}^{(2)} \times S^{1} \times S^{5}$ 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 $L i f_{4}^{(3)} \times S^{1} \times S^{5}$ 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, $L i f_{4}^{(3)} \to L i f_{4}^{(2)} \to L i f_{4}^{(1)}$ . The critical $L i f_{4}^{(2)}$ theory separates `deconfining' $L i f_{4}^{(3)}$ IR theory from the confining Yang-Mills phase in UV.

19 pp, 2 figures

RG flows and cascades of $L i f_{4}^{(2)} \times S^{1} \times S^{5}$ vacua

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RG flows and cascades of Lif4(2)​×S1×S5 vacua

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RG flows and cascades of $L i f_{4}^{(2)} \times S^{1} \times S^{5}$ vacua