A comment on quantum distribution functions and the OSV conjecture

@article{Gmez2006ACO,
  title={A comment on quantum distribution functions and the OSV conjecture},
  author={C{\'e}sar G{\'o}mez and Sergio Monta{\~n}ez},
  journal={Journal of High Energy Physics},
  year={2006},
  volume={2006},
  pages={069-069}
}
Using the attractor mechanism and the relation between the quanti- zation of H 3 (M) and topological strings on a Calabi Yau threefold M we define a map from BPS black holes into coherent states. This map allows us to represent the Bekenstein-Hawking-Wald entropy as a quantum distribution function on the phase space H 3 (M). This distribution function is a mixed Husimi/anti-Husimi dis- tribution corresponding to the different normal ordering prescriptions for the string coupling and deviations… 

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References

SHOWING 1-10 OF 62 REFERENCES

Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

We develop techniques to compute higher loop string amplitudes for twistedN=2 theories withĉ=3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in

Hartle–Hawking Wave-Function for Flux Compactifications: the Entropic Principle

We argue that the topological string partition function, which has been known to correspond to a wave-function, can be interpreted as an exact “wave-function of the universe” in the mini-superspace

Attractors and the Holomorphic Anomaly

Motivated by the recently proposed connection between N=2 BPS black holes and topological strings, I study the attractor equations and their interplay with the holomorphic anomaly equation. The

Topological Strings and (Almost) Modular Forms

The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Γ, generated by monodromies of the periods of X. This acts on the topological string wave function in a natural

Two Dimensional Yang-Mills, Black Holes and Topological Strings

We show that topological strings on a class of non-compact Calabi-Yau threefolds is equivalent to two dimensional bosonic U(N) Yang-Mills on a torus. We explain this correspondence using the recent

Black hole attractors and the topological string

A simple relationship of the form ZBH = |Ztop|2 is conjectured, where ZBH is a supersymmetric partition function for a four-dimensional BPS black hole in a Calabi-Yau compactification of Type II

Black hole partition functions and duality

The macroscopic entropy and the attractor equations for BPS black holes in four-dimensional N = 2 supergravity theories follow from a variational principle for a certain `entropy function'. We

From AdS3/CFT2 to Black Holes/Topological Strings

The elliptic genus Z_{BH} of a large class of 4D black holes can be expressed as an M-theory partition function on an AdS_3xS^2xCY_3 attractor. We approximate this partition function by summing over

The Hitchin Functionals and the Topological B-Model at One Loop

The quantization in quadratic order of the Hitchin functional, which defines by critical points a Calabi–Yau structure on a six-dimensional manifold, is performed. The conjectured relation between
...