D2-D8 system with massive strings and the Lifshitz spacetimes

Abstract

The Romans type IIA supergravity allows fundamental strings to have explicit mass term at the tree level. We show that there exists a (F1,D2,D8) brane configuration which gives rise to $Li{f}_4^{(2)}\times R^1\times S^5$ vacua supported by the massive strings. The presence of D8-branes naturally excites massive fundamental strings. A compactification on circle relates these Lifshitz massive type-IIA background with the axion-flux $Li{f}_4^{(2)}\times S^1\times S^5$ vacua in ordinary type-IIB theory. The massive T-duality in eight dimensions further relates them to yet another ${\widetilde{Lif}}_4^{(2)}\times S^1\times S^5$ vacua constituted by (F1,D0,D6) system in ordinary type IIA theory. The latter vacua after compactification to four dimensions generate two `distinct' electric charges and a constant magnetic field, all living over 2-dimensional plane. This somewhat reminds us of a similar set up in quantum Hall systems.

19 pages; minor changes

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Cited by in corpus (5)

• Entanglement entropy at higher orders for the states of a = 3 θ = 1 Lifshitz theory
• More on entanglement properties of $Li{f}_4^{(2)}\times S^1\times S^5$ spacetime with string excitations
• Holographic entanglement entropy for $Li{f}_4^{(2)}\times S^1\times S^5$ spacetime with string excitations
• RG flows and cascades of $Li{f}_4^{(2)}\times S^1\times S^5$ vacua
• The effect of loop quantum gravitational rainbow functions on the formation of naked singularities