36 research outputs found
dRGT theory of massive gravity from spontaneous symmetry breaking
In this note we propose a topological action for a Poincare times
diffeomorphism invariant gauge theory. We show that there is Higgs phase where
the gauge symmetry is spontaneous broken to a diagonal Lorentz subgroup and
gives the Einstein-Hilbert action plus the dRGT potential terms. In this
vacuum, there are five (three from Goldstone modes) propagating degrees of
freedom which form polarizations of a massive spin 2 particle, an extra healthy
heavy scalar (Higgs) mode and no Boulware-Deser ghost mode. We further show
that the action can be derived in a limit from a topological de Sitter
invariant gauge theory in 4 dimensions.Comment: 5 pages, references and comments are added, equations corrected,
published versio
Confinement from Distance in Metric Space and its Relation to Cosmological Constant
We argue that, in a theory of quantum gravity, the gauge coupling and the
confinement scale of a gauge theory are related to distance in the space of
metric configurations, and in turn to the cosmological constant. To support the
argument, we compute the gauge kinetic functions in variuos supersymmetric
Heterotic and type II string compactifications and show that they depend on
distance. According to the swampland program, the distance between two (anti)
de Sitter vacua in the space of metric configurations is proportional to the
logarithm of the ratio of cosmological constants and thus the confinement scale
depends on the value of the cosmological constant. In this framework, for de
Sitter space, we revisit the swampland Festina Lente bound and gauge theories
in the dark dimension scenario. We show that if the Festina Lente bound is
realized in a de Sitter vacuum and dependence on distance is strong enough, it
will be realized in vacua with higher cosmological constants. In dark dimension
scenario, as the value of cosmological constant is related to the
decompactifying dimension, we find that the confinement scale is indeed related
to radius of dark dimension. We show that in this scenario the Festina Lente
bound holds for the standard model QCD, as well as all confining gauge groups
with .Comment: 20 pages, 2 figure
Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave
We propose a recipe to construct the DLCQ Hamiltonian of type IIB string
theory on the AdS (and/or plane-wave) background. We consider a system of J
number of coincident unstable non-BPS D0-branes of IIB theory in the light-cone
gauge and on the plane-wave background with a compact null direction, the
dynamics of which is described by the world-line U(J) gauge theory. This
configuration suffers from tachyonic instabilities. Having instabilities been
cured through the process of open string tachyon condensation, by expanding the
theory about true minima of the effective potential and furthermore taking low
energy limit to decouple the heavy modes, we end up with a 0+1-dimensional
supersymmetric U(J) gauge theory, a Matrix Theory. We conjecture that the
Hamiltonian of this Matrix Theory is just the DLCQ Hamiltonian of type IIB
string theory on the AdS or equivalently plane-wave background in a sector with
J units of light-cone momentum. We present some pieces of evidence in support
of the proposal.Comment: LaTeX, 35 pages, 2 eps figures; v2: minor changes, references added;
v3: minor change