Generalised Complex Geometry and the Planck Cone

@article{Isidro2004GeneralisedCG,
  title={Generalised Complex Geometry and the Planck Cone},
  author={Jos{\'e} Maria Isidro},
  journal={arXiv: High Energy Physics - Theory},
  year={2004}
}
  • J. Isidro
  • Published 1 November 2004
  • Physics, Mathematics
  • arXiv: High Energy Physics - Theory
Complex geometry and symplectic geometry are mirrors in string theory. The recently developed generalised complex geometry interpolates between the two of them. On the other hand, the classical and quantum mechanics of a finite number of degrees of freedom are respectively described by a symplectic structure and a complex structure on classical phase space. In this letter we analyse the role played by generalised complex geometry in the classical and quantum mechanics of a finite number of… 
3 Citations

DIRAC BRACKETS FROM MAGNETIC BACKGROUNDS

In symplectic mechanics, the magnetic term describing the interaction between a charged particle and an external magnetic field has to be introduced by hand. On the contrary, in generalized complex

STAR PRODUCTS ON GENERALIZED COMPLEX MANIFOLDS

We regard classical phase space as a generalized complex manifold and analyze the B-transformation properties of the ⋆-product of functions. The C⋆-algebra of smooth functions transforms in the

Abelian gerbes as a gauge theory of quantum mechanics on phase space

We construct a U(1) gerbe with a connection over a finite-dimensional, classical phase space . The connection is given by a triple of forms A, B, H: a potential 1-form A, a Neveu–Schwarz potential

References

SHOWING 1-3 OF 3 REFERENCES

Geometry and Physics of Branes

Introduction U. Bruzzo Deformation Theory, Homological Algebra and Mirror Symmetry Kenji Fuyaka Topics in String Tachyon Dynamics Ce'sar Go'mez and Pedro Resco Large N Dualities and D-Branes

Mathematical Methods of Classical Mechanics

Part 1 Newtonian mechanics: experimental facts investigation of the equations of motion. Part 2 Lagrangian mechanics: variational principles Lagrangian mechanics on manifolds oscillations rigid

Generalized Coherent States and Their Applications

I Generalized Coherent States for the Simplest Lie Groups.- 1. Standard System of Coherent States Related to the Heisenberg-Weyl Group: One Degree of Freedom.- 1.1 The Heisenberg-Weyl Group and Its