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arXiv · 1311.3834

Thermal DBI action for the D3-brane at weak and strong coupling

Gianluca Grignani·Troels Harmark·Andrea Marini·Marta Orselli
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Abstract

We study the effective action for finite-temperature D3-branes with an electromagnetic field at weak and strong coupling. We call this action the thermal DBI action. Comparing at low temperature the leading $T^4$ correction for the thermal DBI action at weak and strong coupling we find that the $3/4$ factor well-known from the AdS/CFT correspondence extends to the case of arbitrary electric and magnetic fields on the D3-brane. We investigate the reason for this by taking the decoupling limit in both the open and the closed string descriptions thus showing that the AdS/CFT correspondence extends to the case of arbitrary constant electric and magnetic fields on the D3-brane.

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Gianluca Grignani, Troels Harmark, Andrea Marini, Marta Orselli. 2013-11-15. Thermal DBI action for the D3-brane at weak and strong coupling. https://doi.org/10.1007/jhep03(2014)114

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