The Ising Model on $S^2$ - The Affine Conjecture

PIRSA ID: 24040102
Series: Quantum Matter
Event Type: Seminar
Scientific Area(s):
Quantum Matter
End date:
  • Richard Brower, Boston University

A formulation of the 2-dimensional Ising model on a triangulated Riemann sphere is proposed that converges to the exact conformal field theory (CFT) in the continuum limit. The solution is based on reconciling Regge's simplicial geometry for the Einstein Hilbert action with an Affine map to quantum correlators on the tangent plane. Numerical tests of the 2d Ising sphere and radial quantized phi4 theory on $R x S^2$ are presented.  Extending the method to more general fields theories on curved manifolds is discussed. 


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