15 research outputs found
Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization
We present non-Abelian gaugings of supermembrane for general isometries for
compactifications from eleven-dimensions, starting with Abelian case as a
guide. We introduce a super Killing vector in eleven-dimensional superspace for
a non-Abelian group G associated with the compact space B for a general
compactification, and couple it to a non-Abelian gauge field on the
world-volume. As a technical tool, we use teleparallel superspace with no
manifest local Lorentz covariance. Interestingly, the coupling constant is
quantized for the non-Abelian group G, due to its generally non-trivial mapping
\pi_3(G).Comment: 16 pages, no figures. The content has been considerably changed with
non-Abelian generalizatio
Implication of Compensator Field and Local Scale Invariance in the Standard Model
We introduce Weyl's scale symmetry into the standard model (SM) as a local
symmetry. This necessarily introduces gravitational interactions in addition to
the local scale invariance group \tilde U(1) and the SM groups SU(3) X SU(2) X
U(1). The only other new ingredients are a new scalar field \sigma and the
gauge field for \tilde U(1) we call the Weylon. A noteworthy feature is that
the system admits the St\" uckelberg-type compensator. The \sigma couples to
the scalar curvature as (-\zeta/2) \sigma^2 R, and is in turn related to a St\"
uckelberg-type compensator \varphi by \sigma \equiv M_P e^{-\varphi/M_P} with
the Planck mass M_P. The particular gauge \varphi = 0 in the St\" uckelberg
formalism corresponds to \sigma = M_P, and the Hilbert action is induced
automatically. In this sense, our model presents yet another mechanism for
breaking scale invariance at the classical level. We show that our model
naturally accommodates the chaotic inflation scenario with no extra field.Comment: This work is to be read in conjunction with our recent comments
hep-th/0702080, arXiv:0704.1836 [hep-ph] and arXiv:0712.2487 [hep-ph]. The
necessary ingredients for describing chaotic inflation in the SM as
entertained by Bezrukov and Shaposhnikov [17] have been provided by our
original model [8]. We regret their omission in citing our original model [8
A Note on Embedding of M-Theory Corrections into Eleven-Dimensional Superspace
By analyzing eleven-dimensional superspace fourth-rank superfield strength
F-Bianchi identities, we show that M-theory corrections to eleven-dimensional
supergravity can not be embedded into the mass dimension zero constraints, such
as the (\g^{a b})_{\a\b} X_{a b}{}^c or i (\g^{a_1... a_5})_{\a\b} X_{a_1...
a_5}{}^c -terms in the supertorsion constraint T_{\a\b}{}^c. The only possible
modification of superspace constraint at dimension zero is found to be the
scaling of F_{\a\b c d} like F_{\a\b c d} = (1/2) \big(\g_{c d}\big)_{\a\b}
e^\Phi for some real scalar superfield \Phi, which alone is further shown not
enough to embed general M-theory corrections. This conclusion is based on the
dimension zero F-Bianchi identity under the two assumptions: (i) There are no
negative dimensional constraints on the F-superfield strength: F_{\a\b\g\d} =
F_{\a\b\g d} =0; (ii) The supertorsion T-Bianchi identities and F-Bianchi
identities are not modified by Chern-Simons terms. Our result can serve as a
powerful tool for future exploration of M-theory corrections embedded into
eleven-dimensional superspace supergravity.Comment: 14 pages, latex, some minor typos corrected, as well as old section 5
deleted, due to the subtlety about Chern-Simons term in F-Bianchi identitie
Teleparallel Superspace in Eleven Dimensions Coupled to Supermembranes
We present a superspace formulation of N=1 eleven-dimensional supergravity
with no manifest local Lorentz covariance, which we call teleparallel
superspace. This formulation will be of great importance, when we deal with
other supergravity theories in dimensions higher than eleven dimensions, or a
possible formulation of noncommutative supergravity. As an illustrative
example, we apply our teleparallel superspace formulation to the case of N=1
supergravity in twelve-dimensions. We also show the advantage of teleparallel
superspace as backgrounds for supermembrane action.Comment: 14 pages, latex, New section 5 added for application to 12D
supergravity, with other related revision
Alephnull-Extended Supersymmetric Chern-Simons Theory for Arbitrary Gauge Groups
We present a model of supersymmetric non-Abelian Chern-Simons theories in
three-dimensions with arbitrarily many supersymmetries, called
alephnull-extended supersymmetry. The number of supersymmetry N equals the
dimensionality of any non-Abelian gauge group G as N = dim G. Due to the
supersymmetry parameter in the adjoint representation of a local gauge group G,
supersymmetry has to be local. The minimal coupling constant is to be
quantized, when the homotopy mapping is nontrivial: \pi_3(G) = Z. Our results
indicate that there is still a lot of freedom to be explored for Chern-Simons
type theories in three dimensions, possibly related to M-theory.Comment: 6 pages, no figur
Generalized BF Theory in Superspace as Underlying Theory of 11D Supergravity
We construct a generalized BF theory in superspace that can embed
eleven-dimensional supergravity theory. Our topological BF theory can
accommodate all the necessary Bianchi identities for teleparallel superspace
supergravity in eleven-dimensions, as the simplest but nontrivial solutions to
superfield equations for our superspace action. This indicates that our theory
may have solutions other than eleven-dimensional supergravity, accommodating
generalized theories of eleven-dimensional supergravity. Therefore our
topological theory can be a good candidate for the low energy limit of
M-theory, as an underlying fundamental theory providing a `missing link'
between eleven-dimensional supergravity and M-theory.Comment: 16 pages, latex, two new paragraphs in section 4 and in Concluding
Remarks with two new reference
Cosmological Implications of a Scale Invariant Standard Model
We generalize the standard model of particle physics such it displays global
scale invariance. The gravitational action is also suitably modified such that
it respects this symmetry. This model is interesting since the cosmological
constant term is absent in the action. We find that the scale symmetry is
broken by the recently introduced cosmological symmetry breaking mechanism.
This simultaneously generates all the dimensionful parameters such as the
Newton's gravitational constant, the particle masses and the vacuum or dark
energy. We find that in its simplest version the model predicts the Higgs mass
to be very small, which is ruled out experimentally. We further generalize the
model such that it displays local scale invariance. In this case the Higgs
particle disappears from the particle spectrum and instead we find a very
massive vector boson. Hence the model gives a consistent description of
particle physics phenomenology as well as fits the cosmological dark energy.Comment: 12 pages, no figure