Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2016)048
Keywords
Gauge-gravity correspondence; AdS-CFT Correspondence; Chern-Simons Theories; Supergravity Models
Categories
Funding
- ERC STG grant [306260]
- Royal Society
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We study a system of N D2-branes probing a generic Calabi-Yau three-fold singularity in the presence of a non-zero quantized Romans mass n. We argue that the low-energy effective N = 2 Chern-Simons quiver gauge theory flows to a superconformal fixed point in the IR, and construct the dual AdS(4) solution in massive IIA supergravity. We compute the free energy F of the gauge theory on S-3 using localization. In the large N limit we find F = c(nN)(1/3) a(2/3), where c is a universal constant and a is the a-function of the parent four-dimensional N = 1 theory on N D3-branes probing the same Calabi-Yau singularity. It follows that maximizing F over the space of admissible R-symmetries is equivalent to maximizing a for this class of theories. Moreover, we show that the gauge theory result precisely matches the holographic free energy of the supergravity solution, and provide a similar matching of the VEV of a BPS Wilson loop operator.
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