4,573 research outputs found
Generalized mirror symmetry and trace anomalies
We consider compactification of M-theory on X7 with betti numbers (b_0, b_1,
b_2, b_3, b_3, b_2, b_1, b_0) and define a generalized mirror symmetry (b_0,
b_1, b_2, b_3) goes to (b_0, b_1, b_2 -rho/2, b_3+rho/2)$ under which rho =
7b_0-5b_1+3b_2 -b_3 changes sign. Generalized self-mirror theories with rho=0
have massless sectors with vanishing trace anomaly (before dualization).
Examples include pure supergravity with N \geq 4 and supergravity plus matter
with N \leq 4.Comment: 19 pages late
Quantum corrections to Higher-Dimensional Theories
This is a non-technical summary of the subtleties of quantum corrections on
extra-dimensional theories: should one first renormalize and then mode expand,
or first expand in four-dimensional modes and then renormalize?Comment: 9 pages, based on a talk at IRGAC 2006, Barcelon
Superqubits
We provide a supersymmetric generalization of n quantum bits by extending the
local operations and classical communication entanglement equivalence group
[SU(2)]^n to the supergroup [uOSp(1|2)]^n and the stochastic local operations
and classical communication equivalence group [SL(2,C)]^n to the supergroup
[OSp(1|2)]^n. We introduce the appropriate supersymmetric generalizations of
the conventional entanglement measures for the cases of and . In
particular, super-Greenberger-Horne-Zeilinger states are characterized by a
nonvanishing superhyperdeterminant.Comment: 16 pages, 4 figures, 4 tables, revtex; minor corrections, version
appearing in Phys. Rev.
Wrapped branes as qubits
Recent work has established a correspondence between the tripartite
entanglement measure of three qubits and the macroscopic entropy of the
four-dimensional 8-charge STU black hole of supergravity. Here we consider the
configurations of intersecting D3-branes, whose wrapping around the six compact
dimensions T^6 provides the microscopic string-theoretic interpretation of the
charges, and associate the three-qubit basis vectors |ABC>, (A,B,C=0 or 1) with
the corresponding 8 wrapping cycles. In particular, we relate a well-known fact
of quantum information theory, that the most general real three-qubit state can
be parameterized by four real numbers and an angle, to a well-known fact of
string theory, that the most general STU black hole can be described by four
D3-branes intersecting at an angle.Comment: Version appearing in Phys. Rev. Lett, includes Type IIA description
as well as Type II
Reducing - duality to - duality
The infrared limit of Yang-Mills theory with compact gauge group
compactified on a two-torus is governed by an effective superconformal
field theory. We conjecture that this is a certain orbifold involving the
maximal torus of . Yang-Mills -duality makes predictions for all
correlators of this effective conformal field theory. These predictions are
shown to be implied by the standard -duality of the conformal field theory.
Consequently, Montonen-Olive duality between electric and magnetic states
reduces to the standard two-dimensional duality between momentum and winding
states.Comment: 13 pages, harvmac, no figures. (Some Comments added. Some references
added.
Gauge Symmetry and Consistent Spin-Two Theories
We study Lagrangians with the minimal amount of gauge symmetry required to
propagate spin-two particles without ghosts or tachyons. In general, these
Lagrangians also have a scalar mode in their spectrum. We find that, in two
cases, the symmetry can be enhanced to a larger group: the whole group of
diffeomorphisms or a enhancement involving a Weyl symmetry. We consider the
non-linear completions of these theories. The intuitive completions yield the
usual scalar-tensor theories except for the pure spin-two cases, which
correspond to two inequivalent Lagrangians giving rise to Einstein's equations.
A more constructive self-consistent approach yields a background dependent
Lagrangian.Comment: 7 pages, proceedings of IRGAC'06; typo correcte
Vacuum interpolation in supergravity via super p-branes
We show that many of the recently proposed supersymmetric p-brane solutions
of d=10 and d=11 supergravity have the property that they interpolate between
Minkowski spacetime and a compactified spacetime, both being supersymmetric
supergravity vacua. Our results imply that the effective worldvolume action for
small fluctuations of the super p-brane is a supersingleton field theory for
, as has been often conjectured in the past.Comment: 8p
E_7 and the tripartite entanglement of seven qubits
In quantum information theory, it is well known that the tripartite
entanglement of three qubits is described by the group [SL(2,C)]^3 and that the
entanglement measure is given by Cayley's hyperdeterminant. This has provided
an analogy with certain N=2 supersymmetric black holes in string theory, whose
entropy is also given by the hyperdeterminant. In this paper, we extend the
analogy to N=8. We propose that a particular tripartite entanglement of seven
qubits, encoded in the Fano plane, is described by the exceptional group E_7(C)
and that the entanglement measure is given by Cartan's quartic E_7 invariant.Comment: Minor improvements. 15 page late
Dimensional reduction of 4d heterotic string black holes
We perform the spherical symmetric dimensional reduction of
heterotic string theory. We find a class of two-dimensional (2d) dilaton
gravity models that gives a general description of the near-horizon,
near-extremal behavior of four-dimensional (4d) heterotic string black holes.
We show that the duality group of the 4d theory is realized in two dimensions
in terms of Weyl transformations of the metric. We use the 2d dilaton gravity
theory to compute the statistical entropy of the near-extremal 4d,
, black hole.Comment: 12 pages, LaTex fil
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