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arXiv · 1504.00855

Antisymmetric tensor field and spontaneous magnetization in holographic duality

Rong-Gen Cai·Run-Qiu Yang
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Abstract

A real anti-symmetric tensor field was introduced to realize a holographic magnetic ordered phase in our previous works. However, a more careful analysis shows there is a vector ghost in the model. In this paper we present a modified Lagrangian density for the anti-symmetric tensor, which is ghost free and causality is well-defined, and keeps all the significant results in the original model qualitatively. We show this modified Lagrangian density could come from the dimensional compactification of $p$-form field in String/M-theory. For static curved space-time, we also prove that this modified model is ghost free and dose not violate causality. This new model offers a solid foundation for the application of antisymmetric tensor field in holographic duality, especially for the spontaneous magnetization.

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Rong-Gen Cai, Run-Qiu Yang. 2015-04-03. Antisymmetric tensor field and spontaneous magnetization in holographic duality. https://doi.org/10.1103/physrevd.92.046001

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