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A perturbative study of holographic mABJM theory
Recently the calculation of holographic free energy for mass-deformed ABJM
model (mABJM) with supersymmetry and global
symmetry was tackled by Bobev et al. in arXiv:1812.01026. We solve the
associated BPS equations, requiring IR regularity, using a perturbative method
proposed by one of us recently in axXiv:1902.00418. In particular, we provide
an analytic proof of a crucial conjecture made in arXiv:1812.01026 based on
numerical solutions: that the R-charge values of three chiral multiplets in
mABJM should be independent of the IR values of a hypermultiplet scalar, which
is holographically dual to the superpotential mass term.Comment: 15 pages, 1 figur
Perturbative solutions of holography on
We apply the recently proposed perturbative technique to solve the
supergravity BPS equations of theories put on . In
particular, we have calculated the coefficients of the leading quartic terms
exactly, in the expression of the universal part for the holographic free
energy as a function of the mass parameters. We also report on the coefficients
of higher order terms upto 10th order, which are computed numerically.Comment: v2: 15 pages, 2 figures, added references and discussion on gaugino
condensate etc, v3: typos corrected and comments adde
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