On the black hole/string transition

worldsheet supersymmetric eld theories (even if one does not assume conformal invariance). The argument involves computing the supersymmetric index [9] of the two solutions and nding that it is di erent on the two sides. The black hole and the Horowitz-Polchinski

  Conformal, Invariance, Conformal invariance

Conformal Field Theory - Nikhef

1.1.3 Conformal invariance A conformal transformation can now be de ned as a coordinate transformation which acts on the metric as a Weyl transformation. Consider a general coordinate transformation x!x0, such that x = f (x0 ). This has the following e ect on the metric g (x) !g0 (x 0) = @fˆ @x 0 @f˙ @x g ˆ˙(f(x0)) : (1.8)

  Conformal, Invariance, Conformal invariance

The Quantum Hall E ect - University of Cambridge

2.2.2 The Role of Gauge Invariance 51 2.2.3 An Aside: The Kubo Formula 54 2.2.4 The Role of Topology 57 2.3 Particles on a Lattice 61 2.3.1 TKNN Invariants 61 2.3.2 The Chern Insulator 65 2.3.3 Particles on a Lattice in a Magnetic Field 67 { 1

  Quantum, Hall, Invariance, The quantum hall e ect

Lecture Notes on General Relativity - Portal

Lecture Notes on General Relativity MatthiasBlau Albert Einstein Center for Fundamental Physics Institut fu¨r Theoretische Physik Universit¨at Bern