Nonabelian Poincaré duality after stabilizing

Nonabelian Bosonization as Duality †

Applying the techniques of nonabelian duality to a system of Majorana fermions in 1+1 dimensions, invariant under a nonabelian group O L (N) × O R (N), we obtain the level-one Wess-Zumino-Witten model as the dual theory. This makes nonabelian bosonization a particular case of a nonabelian duality transformation, generalizing our previous result for the abelian case.

On Nonabelian Duality

We show that nonabelian duality is not a symmetry of a conformal field theory, but rather a symmetry between different theories. We expose a nonlocal symmetry of nonabelian dual theories. We show how, in the case with vanishing isotropy, it can be used to find the inverse dual transformation. Finally, we consider a number of new examples. e-mail address: [email protected] e-mail address: ro...

Nonabelian Poincare Duality ( Lecture 8 )

Poincaré Duality Algebras Mod Two

Tamagawa numbers via nonabelian Poincaré duality

3 The geometry of Weil’s conjecture for function fields 8 3.1 More on counting problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.2 Stacks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.3 Trace formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....