137 research outputs found
Supersymmetric Runge-Lenz-Pauli vector for Dirac vortex in topological insulators and graphene
The Dirac mass-vortex at the surface of a topological insulator or in
graphene is considered. Within the linear approximation for the vortex
amplitude's radial dependence, the spectrum is a series of degenerate bound
states, which can be classified by a set of accidental SU(2) and supersymmetry
generators (I. F. Herbut and C.-K. Lu, Phys. Rev. B 83 125412 (2011)). Here we
discuss further the properties and manifestations of the supersymmetry of the
vortex Hamiltonian, and point out some interesting analogies to the
Runge-Lenz-Pauli vector in the non-relativistic hydrogen atom. Symmetry
breaking effects due to a finite chemical potential, and the Zeeman field are
also analyzed. We find that a residual accidental degeneracy remains only in
the special case of equal magnitudes of both terms, whereas otherwise it
becomes removed entirely.Comment: revised version with added reference and a new paragraph on
interpretation of two-velocity Weyl fermions realized in 2D optical lattice;
to appear in J Phys
A general formula of the effective potential in 5D SU(N) gauge theory on orbifold
We show a general formula of the one loop effective potential of the 5D SU(N)
gauge theory compactified on an orbifold, . The formula shows the case
when there are fundamental, (anti-)symmetric tensor and adjoint
representational bulk fields. Our calculation method is also applicable when
there are bulk fields belonging to higher dimensional representations. The
supersymmetric version of the effective potential with Scherk-Schwarz breaking
can be obtained straightforwardly. We also show some examples of effective
potentials in SU(3), SU(5) and SU(6) models with various boundary conditions,
which are reproduced by our general formula.Comment: 22 pages;minor corrections;references added;typos correcte
One-Loop Maximal Helicity Violating Amplitudes in N=4 Super Yang-Mills Theories
One-loop maximal helicity violating (MHV) amplitudes in N=4 super Yang-Mills
(SYM) theories are analyzed, using the prescription of Cachazo, Svrcek, and
Witten (CSW). The relations between leading N_c amplitudes A_{n;1} and
sub-leading amplitudes A_{n;c} obtained by the CSW prescription are found to be
identical to those obtained from conventional field theory calculations.
Combining with existing results, this establishes the validity of the CSW
prescription to one-loop in the calculation of MHV amplitudes in N=4 SYM
theories of finite N_c.Comment: Minor changes and typos fixed. Published version in JHE
Holographic RG Flows and Universal Structures on the Coulomb Branch of N=2 Supersymmetric Large n Gauge Theory
We report on our results of D3-brane probing a large class of generalised
type IIB supergravity solutions presented very recently in the literature. The
structure of the solutions is controlled by a single non-linear differential
equation. These solutions correspond to renormalisation group flows from pure
N=4 supersymmetric gauge theory to an N=2 gauge theory with a massive adjoint
scalar. The gauge group is SU(n) with n large. After presenting the general
result, we focus on one of the new solutions, solving for the specific
coordinates needed to display the explicit metric on the moduli space. We
obtain an appropriately holomorphic result for the coupling. We look for the
singular locus, and interestingly, the final result again manifests itself in
terms of a square root branch cut on the complex plane, as previously found for
a set of solutions for which the details are very different. This, together
with the existence of the single simple non-linear differential equation, is
further evidence in support of an earlier suggestion that there is a very
simple model --perhaps a matrix model with relation to the Calogero-Moser
integrable system-- underlying this gauge theory physics.Comment: 14 pages, LaTeX, 1 figur
Multi-Center non-BPS Black Holes - the Solution
We construct multi-center, non-supersymmetric four-dimensional solutions
describing a rotating anti-D6-D2 black hole and an arbitrary number of D4-D2-D0
black holes in a line. These solutions correspond to an arbitrary number of
extremal non-BPS black rings in a Taub-NUT space with a rotating three-charge
black hole in the middle. The positions of the centers are determined by
solving a set of "bubble" or "integrability" equations that contain cubic
polynomials of the inter-center distance, and that allow scaling solutions even
when the total four-dimensional angular momentum of the scaling centers is
non-zero.Comment: 16 pages, LaTe
A Vanadium(V) Alkylidene Complex Exhibiting Remarkable Catalytic Activity for Ring-Opening Metathesis Polymerization (ROMP)
Amide bond formation with a new fluorous carbodiimide: Separation by reverse fluorous solid-phase extraction
A new fluorous carbodiimide is introduced along with a convenient procedure for amide coupling reactions. Reactions of acids and amines under standard conditions for carbodiimide couplings, followed by simple reverse fluorous solid-phase extraction (FSPE) over standard silica gel, provide the target amide products in good yields and purities. The use of HFE-7100 as a fluorous solvent is crucial for the success of the reverse FSPE. © 2007 American Chemical Society
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