149 research outputs found
Some exact solutions of the semilocal Popov equations
We study the semilocal version of Popov's vortex equations on . Though
they are not integrable, we construct two families of exact solutions which are
expressed in terms of rational functions on . One family is a trivial
embedding of Liouville-type solutions of the Popov equations obtained by
Manton, where the vortex number is an even integer. The other family of
solutions are constructed through a field redefinition which relate the
semilocal Popov equation to the original Popov equation but with the ratio of
radii , which is not integrable. These solutions have vortex number
where is a positive integer, and hence solutions belong to
this family. In particular, we show that the solution with reflection
symmetry is the well-known lump configuration with unit size where the
scalars lie on with radius . It generates the uniform
magnetic field of a Dirac monopole with unit magnetic charge on .Comment: 13 pages, minor corrections, version published in Phys.Lett.
Low Energy Dynamics of Monopoles in Supersymmetric Yang-Mills Theories with Hypermultiplets
We derive the low energy dynamics of monopoles and dyons in N=2
supersymmetric Yang-Mills theories with hypermultiplets in arbitrary
representations by utilizing a collective coordinate expansion. We consider the
most general case that Higgs fields both in the vector multiplet and in the
hypermultiplets have nonzero vacuum expectation values. The resulting theory is
a supersymmetric quantum mechanics which has been obtained by a nontrivial
dimensional reduction of two-dimensional (4,0) supersymmetric sigma models with
potentials.Comment: 17pages, LaTeX, minor changes, references added, version published in
JHE
Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM Geometries
We calculate the holographic entanglement entropy (HEE) of the
orbifold of Lin-Lunin-Maldacena (LLM) geometries which are dual to the vacua of
the mass-deformed ABJM theory with Chern-Simons level . By solving the
partial differential equations analytically, we obtain the HEEs for all LLM
solutions with arbitrary M2 charge and up to -order where
is the mass parameter. The renormalized entanglement entropies are all
monotonically decreasing near the UV fixed point in accordance with the
-theorem. Except the multiplication factor and to all orders in ,
they are independent of the overall scaling of Young diagrams which
characterize LLM geometries. Therefore we can classify the HEEs of LLM
geometries with orbifold in terms of the shape of Young diagrams
modulo overall size. HEE of each family is a pure number independent of the 't
Hooft coupling constant except the overall multiplication factor. We extend our
analysis to obtain HEE analytically to -order for the symmetric
droplet case.Comment: 15 pages, 1 figur
Transparentizing Black Holes to Eternal Traversable Wormholes
We present the gravity description of evaporating black holes that end up
with eternal traversable wormholes where every would-be behind horizon degree
is available in asymptotic regions. The transition is explicitly realized by a
time-dependent bulk solution in the two-dimensional Einstein-dilaton gravity.
In this solution, the initial AdS black hole is evolved into an eternal
traversable wormhole free of any singularity, which may be dubbed as
transparentization of black holes to eternal traversable wormholes. The bulk
construction completely matches with the boundary description governed by the
Schwarzian boundary theory. We also obtain solutions describing eternal
traversable wormholes as well as excitations by an additional matter and
graviton oscillations on eternal traversable wormholes, which show that the
eternal traversable wormhole states are gapped and non-chaotic. Embedding the
2d solution into a 4d traversable wormhole connecting two magnetically charged
holes, we discuss 4d scattering of a wave incident upon one end of the
traversable wormhole.Comment: 1+34 pages, 5 figures, 4 tables; v2: various typos fixed, Ref. added;
v3: a few typos fixed, published versio
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