131 research outputs found
Comments on solutions from M2-branes on complex curves and the backreacted K\"ahler geometry
We consider solutions of M-theory which are obtained by twisted
compactifications of M2-branes on a complex curve. They are of a generalized
class, in the sense that the non-abelian part of the connection for the
holomorphic bundle over the supersymmetric cycle is nontrivial. They are
solutions of gauged supergravity in , with magnetic flux over the
curve, and then uplifted to . We discuss the behavior of conformal fixed
points as a function of the non-abelian connection. We also describe how they
fit into the general description of wrapped M2-brane solutions and
their higher-order generalizations, by showing that they satisfy the master
equation for the eight-dimensional K\"ahler base space.Comment: v2: title changed, refs added. 13 pages, 2 figures; v3: refs and
discussion adde
Comments on the symmetry of AdS solutions in String/M-theory and Killing spinor equations
It was recently pointed out in \cite{Kim:2015hya} that AdS solutions in
IIB theory enjoy an extended symmetry structure and the consistent truncation
to internal space leads to a nonlinear sigma model with target
. We continue to study the purely bosonic
effective action, and elucidate how the addition of scalar potential term still
allows Killing spinor equations in the absence of gauge fields. In particular,
the potential turns out to be a single diagonal component of the coset
representative. Furthermore, we perform a general analysis of the integrability
conditions of Killing spinor equations and establish that the effective action
can be in fact generalized to arbitrary sizes and signatures, e.g. with target
and the scalar potential expressible by a single
diagonal component of the coset representative. We also comment on a similar
construction and its generalizations of effective purely bosonic
non-linear sigma model action related to AdS in M-theory.Comment: v2: 17 pages, version published in PL
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
Supersymmetric AdS_6 Solutions of Type IIB Supergravity
We study the general requirement for supersymmetric AdS solutions in type
IIB supergravity. We employ the Killing spinor technique and study the
differential and algebraic relations among various Killing spinor bilinears to
find the canonical form of the solutions. Our result agrees precisely with the
work of Apruzzi et. al. \cite{Apruzzi:2014qva} which used the pure spinor
technique. We also obtained the four-dimensional theory through the dimensional
reduction of type IIB supergravity on AdS. This effective action is
essentially a nonlinear sigma model with five scalar fields parametrizing
, modified by a scalar potential
and coupled to Einstein gravity in Euclidean signature. We argue that the
scalar potential can be explained by a subgroup CSO(1,1,1)
in a way analogous to gauged supergravity.Comment: v2: 24 pages, misprints corrected, published in EPJ
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