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D2-brane Chern-Simons theories: F-maximization = a-maximization | | Martin Fluder
; James Sparks
; | | Date: |
21 Jul 2015 | | Abstract: | 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. | | Source: | arXiv, 1507.5817 | | Services: | Forum | Review | PDF | Favorites | |
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