273 research outputs found
Some beautiful equations of mathematical physics
The basic ideas and the important role of gauge principles in modern
elementary particle physics are outlined. There are three theoretically
consistent gauge principles in quantum field theory: the spin-1 gauge principle
of electromagnetism and the standard model, the spin-2 gauge principle of
general relativity, and the spin-3/2 gauge principle of supergravity. (Dirac
Prize lecture, November 1993. Two figures are unavailable, but should not be
essential.)Comment: 18 page
The Holography of F-maximization
We find new supersymmetric backgrounds of gauged supergravity
in four Euclidean dimensions that are dual to deformations of ABJM theory on
. The deformations encode the most general choice of symmetry
used to define the theory on . We work within an truncation
of the supergravity theory obtained via a group theory argument.
We find perfect agreement between the free energy computed from our
supergravity backgrounds and the previous field theory computations of the same
quantity based on supersymmetric localization and matrix model techniques.Comment: 48 pages; v2 minor improvement
Spatial Geometry and the Wu-Yang Ambiguity
We display continuous families of SU(2) vector potentials in 3
space dimensions which generate the same magnetic field (with det
). These Wu-Yang families are obtained from the Einstein equation
derived recently via a local map of the gauge field system
into a spatial geometry with -tensor and
connection with torsion defined from gauge covariant
derivatives of .Comment: Based on talks given by R. Khuri at PASCOS-94, Syracuse University,
May 1994 and at Gursey Memorial Conference I, Istanbul, June 1994, 7 pages,
TeX (typo in first Author's name is corrected.
Spatial geometry of hamiltonian gauge theories
The Hamiltonians of SU(2) and SU(3) gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the non-Abelian electric field. The transformed Hamiltonians are local. New results from the same procedure applied to the SU(2) gauge theory in 2+1 dimensions are also given.The Hamiltonians of and gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the non-Abelian electric field. The transformed Hamiltonians are local. New results from the same procedure applied to the gauge theory in 2+1 dimensions are also given
Spinning Geodesic Witten Diagrams
We present an expression for the four-point conformal blocks of symmetric
traceless operators of arbitrary spin as an integral over a pair of geodesics
in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of
Hijano et al [arXiv:1508.00501] to arbitrary spin. As an intermediate step in
the derivation, we identify a convenient basis of bulk three-point interaction
vertices which give rise to all possible boundary three point structures. We
highlight a direct connection between the representation of the conformal block
as a geodesic Witten diagram and the shadow operator formalism.Comment: 28+6 pages, 8 figure
- …