Gauged duality, conformal symmetry, and spacetime with two times

@article{Bars1998GaugedDC,
  title={Gauged duality, conformal symmetry, and spacetime with two times},
  author={Itzhak Bars and Cemsinan Deliduman and Oleg Yu. Andreev},
  journal={Physical Review D},
  year={1998},
  volume={58},
  pages={066004}
}
We construct a duality between several simple physical systems by showing that they are different aspects of the same quantum theory. Examples include the free relativistic massless particle and the hydrogen atom in any number of dimensions. The key is the gauging of the Sp(2) duality symmetry that treats position and momentum (x,p) as a doublet in phase space. As a consequence of the gauging, the Minkowski spacetime vectors x{sup {mu}},p{sup {mu}} get enlarged by one additional spacelike and… 

Conformal Symmetry and Duality Between

We establish a duality between the free massless relativistic particle in d dimensions , the non-relativistic hydrogen atom (1/r potential) in (d − 1) space dimensions , and the harmonic oscillator

Gauge symmetry in phase space with spin, a basis for conformal symmetry and duality among many interactions

We show that a simple OSp(1/2) world line gauge theory in 0-brane phase space X{sup M}({tau}),P{sup M}({tau}) with spin degrees of freedom {psi}{sup M}({tau}), formulated for a (d+2)-dimensional

Space-time CFTs from the Riemann sphere

A bstractWe consider two-dimensional chiral, first-order conformal field theories governing maps from the Riemann sphere to the projective light cone inside Minkowski space — the natural setting for

GAUGE SYMMETRY IN PHASE SPACE CONSEQUENCES FOR PHYSICS AND SPACE–TIME

Position and momentum enter at the same level of importance in the formulation of classical or quantum mechanics. This is reflected in the invariance of Poisson brackets or quantum commutators under

Generalized twistor transform and dualities with a new description of particles with spin beyond free and massless

A generalized twistor transform for spinning particles in 3+1 dimensions is constructed that beautifully unifies many types of spinning systems by mapping them to the same twistor Z{sub A}=({mu}{sup

Gravity in two-time physics

The field theoretic action for gravitational interactions in $d+2$ dimensions is constructed in the formalism of two-time (2T) physics. General relativity in $d$ dimensions emerges as a shadow of

Gravity, Two Times, Tractors, Weyl Invariance and Six Dimensional Quantum Mechanics

Fefferman and Graham showed some time ago that four dimensional conformal geometries could be analyzed in terms of six dimensional, ambient, Riemannian geometries admitting a closed homothety.

Twistor transform in d dimensions and a unifying role for twistors

Twistors in four dimensions d=4 have provided a convenient description of massless particles with any spin, and this led to remarkable computational techniques in Yang-Mills field theory. Recently it

N=2, 4 supersymmetric gauge field theory in two-time physics

In the context of two-time physics in 4+2 dimensions we construct the most general N=2, 4 supersymmetric Yang-Mills gauge theories for any gauge group G. This builds on our previous work for N=1
...

References

SHOWING 1-10 OF 11 REFERENCES

Gauge principles for multi-superparticles

The Large-N Limit of Superconformal Field Theories and Supergravity

We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,

Superparticles in D > 11 Revisited

A model for n superparticles in (d − n, n) dimensions is proposed. In addition to target space supersymmetry that involves a product of n momentum generators, the action also has n(n + 1)/2 local

Geometrical Structures of M-Theory

N=(2,1) heterotic string theory provides clues about hidden structure in M-theory related to string duality; in effect it geometrizes some aspects of duality. The program whereby one may deduce this

Duality and hidden dimensions

Using a global superalgebra with 32 fermionic and 528 bosonic charges, many features of p-brane dualities and hidden dimensions are discussed.

D55 (1997) 2373; I. Bars Algebraic Structures in S-Theory

  • Second Sakharov conf. 1996, and Strings-96 conf

Conformal symmetry and duality between free particle, harmonic oscillator and H-atom

  • Conformal symmetry and duality between free particle, harmonic oscillator and H-atom

Nucl. Phys

  • Nucl. Phys
  • 1994

Gauged duality and supersymmetry

  • Gauged duality and supersymmetry

J. Math. Phys

  • J. Math. Phys
  • 1971