506 research outputs found
A Note on Circle Compactification of Tensile Ambitwistor String
We discuss a number of problems associated with the circle compactification
of the bosonic tensile ambitwistor string with the asymmetric vacuum choice. By
considering the spectrum and physical state conditions, we show that the circle
radius plays a role as a tuning parameter which determines the low energy
effective field theory. At the self dual point, we construct the current
operators and compute OPEs between them. While the final outcome remains as yet
inconclusive, several new results are obtained. Through the current algebra
analysis we show that there is a subsector of the massless states where the
gauge symmetry is enhanced to . Using the fact that the
one loop partition function is not modular invariant, we show that tensile
ambitwistor string partition function is exactly the same as a field theory
partition function. Our result proves that despite the existence of winding
modes, which is a typical characteristic of a string, the tensile ambitwistor
string behaves as a point particle theory.Comment: 31 pages, v2: minor corrections, reference added, published in
Nucl.Phys.
Spontaneous Symmetry Breaking in Tensor Theories
In this work we study spontaneous symmetry breaking patterns in tensor
models. We focus on the patterns which lead to effective matrix theories
transforming in the adjoint of . We find the explicit form of the
Goldstone bosons which are organized as matrix multiplets in the effective
theory. The choice of these symmetry breaking patterns is motivated by the fact
that, in some contexts, matrix theories are dual to gravity theories. Based on
this, we aim to build a bridge between tensor theories, quantum gravity and
holography.Comment: 40 pp, 1 fig. Update to match the published versio
Can the cosmological constant undergo abrupt changes?
The existence of a simple spherically symmetric and static solution of the
Einstein equations in the presence of a cosmological constant vanishing outside
a definite value of the radial distance is investigated. A particular
succession of field configurations, which are solutions of the Einstein
equations in the presence of the considered cosmological term and auxiliary
external sources, is constructed. Then, it is shown that the associated
succession of external sources tend to zero in the sense of the generalized
functions. The type of weak solution that is found becomes the deSitter
homogeneous space-time for the interior region, and the Schwartzschild space in
the outside zone.Comment: 10 pages, 1 figur
Remarks on entanglement entropy for gauge fields
In gauge theories the presence of constraints can obstruct expressing the
global Hilbert space as a tensor product of the Hilbert spaces corresponding to
degrees of freedom localized in complementary regions. In algebraic terms, this
is due to the presence of a center --- a set of operators which commute with
all others --- in the gauge invariant operator algebra corresponding to finite
region. A unique entropy can be assigned to algebras with center, giving place
to a local entropy in lattice gauge theories. However, ambiguities arise on the
correspondence between algebras and regions. In particular, it is always
possible to choose (in many different ways) local algebras with trivial center,
and hence a genuine entanglement entropy, for any region. These choices are in
correspondence with maximal trees of links on the boundary, which can be
interpreted as partial gauge fixings. This interpretation entails a gauge
fixing dependence of the entanglement entropy. In the continuum limit however,
ambiguities in the entropy are given by terms local on the boundary of the
region, in such a way relative entropy and mutual information are finite,
universal, and gauge independent quantities.Comment: 26 pages, 7 figure
A String Theory Which Isn't About Strings
Quantization of closed string proceeds with a suitable choice of worldsheet
vacuum. A priori, the vacuum may be chosen independently for left-moving and
right-moving sectors. We construct {\sl ab initio} quantized bosonic string
theory with left-right asymmetric worldsheet vacuum and explore its
consequences and implications. We critically examine the validity of new vacuum
and carry out first-quantization using standard operator formalism. Remarkably,
the string spectrum consists only of a finite number of degrees of freedom:
string gravity (massless spin-two, Kalb-Ramond and dilaton fields) and two
massive spin-two Fierz-Pauli fields. The massive spin-two fields have negative
norm, opposite mass-squared, and provides a Lee-Wick type extension of string
gravity. We compute two physical observables: tree-level scattering amplitudes
and one-loop cosmological constant. Scattering amplitude of four dilatons is
shown to be a rational function of kinematic invariants, and in
factorizes into contributions of massless spin-two and a pair of massive
spin-two fields. The string one loop partition function is shown to perfectly
agree with one loop Feynman diagram of string gravity and two massive spin-two
fields. In particular, it does not exhibit modular invariance. We critically
compare our construction with recent studies and contrast differences.Comment: 42 pages, 1 figure, minor corrections, references added; v3: minor
corrections, references added, published version in JHE
Schwarzschild black hole states and entropies on a nice slice
In this work, we define a quantum gravity state on a nice slice. The nice
slices provide a foliation of spacetime and avoid regions of strong curvature.
We explore the topology and the geometry of the manifold obtained from a nice
slice after evolving it in complex time. We compute its associated
semiclassical thermodynamics entropy for a 4d Schwarzschild black hole. Despite
the state one can define on a nice slice is not a global pure state,
remarkably, we get a similar result to Hawking's calculation. In the end, we
discuss the entanglement entropy of two segments on a nice slice and comment on
the relation of this work with the replica wormhole calculation.Comment: 37 pages, 19 figures, minor changes, references added, Updated to
match the published version in EPJ
Extended geometry and gauged maximal supergravity
We consider generalized diffeomorphisms on an extended mega-space associated
to the U-duality group of gauged maximal supergravity in four dimensions, E_7.
Through the bein for the extended metric we derive dynamical (field-dependent)
fluxes taking values in the representations allowed by supersymmetry, and
obtain their quadratic constraints from gauge consistency conditions. A
covariant generalized Ricci tensor is introduced, defined in terms of a
connection for the generalized diffeomorphisms. We show that for any
torsionless and metric-compatible generalized connection, the Ricci scalar
reproduces the scalar potential of gauged maximal supergravity. We comment on
how these results extend to other groups and dimensions.Comment: 41 pages. v2,v3: minor changes and references adde
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