91 research outputs found
SIM(2) and supergraphs
We construct Feynman rules and Supergraphs in SIM(2) superspace. To test our
methods we perform a one-loop calculation of the effective action of the SIM(2)
supersymmetric Wess-Zumino model including a term which explicitly breaks
Lorentz invariance. The renormalization of the model is also discussed.Comment: 28 page
Very special relativity as relativity of dark matter: the Elko connection
In the very special relativity (VSR) proposal by Cohen and Glashow, it was
pointed out that invariance under HOM(2) is both necessary and sufficient to
explain the null result of the Michelson-Morely experiment. It is the quantum
field theoretic demand of locality, or the requirement of P, T, CP, or CT
invariance, that makes invariance under the Lorentz group a necessity.
Originally it was conjectured that VSR operates at the Planck scale; we propose
that the natural arena for VSR is at energies similar to the standard model,
but in the dark sector. To this end we provide an ab initio spinor
representation invariant under the SIM(2) avatar of VSR and construct a mass
dimension one fermionic quantum field of spin one half. This field turns out to
be a very close sibling of Elko and it exhibits the same striking property of
intrinsic darkness with respect to the standard model fields. In the new
construct, the tension between Elko and Lorentz symmetries is fully resolved.
We thus entertain the possibility that the symmetries underlying the standard
model matter and gauge fields are those of Lorentz, while the event space
underlying the dark matter and the dark gauge fields supports the algebraic
structure underlying VSR.Comment: 19 pages. Section 5 is new. Published version (modulo a footnote, and
a corrected typo
Neutrino-electron scattering in noncommutative space
Neutral particles can couple with the gauge field in the adjoint
representation at the tree level if the space-time coordinates are
noncommutative (NC). Considering neutrino-photon coupling in the NC QED
framework, we obtain the differential cross section of neutrino-electron
scattering. Similar to the magnetic moment effect, one of the NC terms is
proportional to , where is the electron recoil energy.
Therefore, this scattering provides a chance to achieve a stringent bound on
the NC scale in low energy by improving the sensitivity to the smaller electron
recoil energy.Comment: 12 pages, 2 figure
Nonequilibrium Dynamics in Noncommutative Spacetime
We study the effects of spacetime noncommutativity on the nonequilibrium
dynamics of particles in a thermal bath. We show that the noncommutative
thermal bath does not suffer from any further IR/UV mixing problem in the sense
that all the finite-temperature non-planar quantities are free from infrared
singularities. We also point out that the combined effect of finite temperature
and noncommutative geometry has a distinct effect on the nonequilibrium
dynamics of particles propagating in a thermal bath: depending on the momentum
of the mode of concern, noncommutative geometry may switch on or switch off
their decay and thermalization. This momentum dependent alternation of the
decay and thermalization rates could have significant impacts on the
nonequilibrium phenomena in the early universe at which spacetime
noncommutativity may be present. Our results suggest a re-examination of some
of the important processes in the early universe such as reheating after
inflation, baryogenesis and the freeze-out of superheavy dark matter
candidates.Comment: 24 pages, 2 figure
Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to
a zero-dimensional 3-Lie algebra model and construct various stable solutions
corresponding to quantized Nambu-Poisson manifolds. A recently proposed Higgs
mechanism reduces this model to the IKKT matrix model. We find that in the
strong coupling limit, our solutions correspond to ordinary noncommutative
spaces arising as stable solutions in the IKKT model with D-brane backgrounds.
In particular, this happens for S^3, R^3 and five-dimensional Neveu-Schwarz
Hpp-waves. We expand our model around these backgrounds and find effective
noncommutative field theories with complicated interactions involving
higher-derivative terms. We also describe the relation of our reduced model to
a cubic supermatrix model based on an osp(1|32) supersymmetry algebra.Comment: 22 page
Moving Branes with Background Massless and Tachyon Fields in the Compact Spacetime
In this article we shall obtain the boundary state associated with a moving
-brane in the presence of the Kalb-Ramond field , an internal
U(1) gauge field and a tachyon field, in the compact spacetime.
According to this state, properties of the brane and a closed string, with
mixed boundary conditions emitted from it, will be obtained. Using this
boundary state we calculate the interaction amplitude of two moving
and -branes with above background fields in a partially compact
spacetime. They are parallel or perpendicular to each other. Properties of the
interaction amplitude will be analyzed and contribution of the massless states
to the interaction will be extracted.Comment: 13 pages, Latex, no figur
Enhanced Supersymmetry of Nonrelativistic ABJM Theory
We study the supersymmetry enhancement of nonrelativistic limits of the ABJM
theory for Chern-Simons level . The special attention is paid to the
nonrelativistic limit (known as `PAAP' case) containing both particles and
antiparticles. Using supersymmetry transformations generated by the monopole
operators, we find additional 2 kinematical, 2 dynamical, and 2 conformal
supercharges for this case. Combining with the original 8 kinematical
supercharges, the total number of supercharges becomes maximal: 14
supercharges, like in the well-known PPPP limit. We obtain the corresponding
super Schr\"odinger algebra which appears to be isomorphic to the one of the
PPPP case. We also discuss the role of monopole operators in supersymmetry
enhancement and partial breaking of supersymmetry in nonrelativistic limit of
the ABJM theory.Comment: 22 pages, references added, version to appear in JHE
T-duality and closed string non-commutative (doubled) geometry
We provide some evidence that closed string coordinates will become
non-commutative turning on H-field flux background in closed string
compactifications. This is in analogy to open string non-commutativity on the
world volume of D-branes with B- and F-field background. The class of
3-dimensional backgrounds we are studying are twisted tori (fibrations of a
2-torus over a circle) and the their T-dual H-field, 3-form flux backgrounds
(T-folds). The spatial non-commutativity arises due to the non-trivial
monodromies of the toroidal Kahler resp. complex structure moduli fields, when
going around the closed string along the circle direction. In addition we study
closed string non-commutativity in the context of doubled geometry, where we
argue that in general a non-commutative closed string background is T-dual to a
commutative closed string background and vice versa. Finally, in analogy to
open string boundary conditions, we also argue that closed string momentum and
winding modes define in some sense D-branes in closed string doubled geometry.Comment: 31 pages, references added, extended version contains new sections
3.3., 3.4 and
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