Thermodynamics is a science concerning the state of a system, whether it is stable,
metastable, or unstable, when interacting with its surroundings. The combined law of …

The discovery in the early 1970s that black holes radiate as black bodies has radically
affected our understanding of general relativity, and offered us some early hints about the …

A bstract In this second paper of the series we continue to spell out a new program for
quantum gravity, grounded in the notion of corner symmetry algebra and its representations …

A bstract Euclidean gravity method has been successful in computing logarithmic
corrections to extremal black hole entropy in terms of low energy data, and gives results in …

This is a review of results on black hole physics in the context of loop quantum gravity. The
key feature underlying these results is the discreteness of geometric quantities at the Planck …

By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides
us with a rich algebra of boundary charges that generate physical symmetries. These …

In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild
geometry starting from the full loop quantum gravity Hamiltonian constraint and computing …

Spin foams provide path integrals for quantum gravity, which employ discretizations as
regulator. To obtain regulator independent predictions, we must remove these fiducial …

We study the expectation value of a nonplanar Wilson graph operator in SL (2, C) Chern–
Simons theory on S 3. In particular we analyze its asymptotic behavior in the double-scaling …

We present a bird's-eye survey on the development of fundamental ideas of quantum
gravity, placing emphasis on perturbative approaches, string theory, loop quantum gravity …