Speaker
Richard C. Brower
(Boston University)
Description
A general geometrical framework is explored for quantum field theory on curved manifolds motivated by the recent map of the 2d Ising model on a triangulated grid to reproduce the integrable conformal field theory (CFT) on the modular torus ($\mathbb T^2$) and the Riemann sphere ($\mathbb S^2$). This talk will emphasize the special role of affine transformations as a bridge between Regge's simplicial Einstein gravity and simplicial lattice field theory at or near to an infrared critical point. To test and refine this geometrical framework a gradual sequence of lattice fields theories is being considered, including fermionic and gauge fields on cylindrical ($\mathbb R \times \mathbb S^{d-1}$) manifolds.
| Topical area | Theoretical Developments |
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Primary author
Richard C. Brower
(Boston University)
Co-authors
Venkitesh Ayyar
(Boston University)
Dr
Cameron Cogburn
George Fleming
(Fermilab)
Anna-Maria Elisabeth Glück
(Heidelberg University)
Nobuyuki Matsumoto
(RIKEN BNL)
Evan Owen
(Boston University)
Timothy Raben
(University of Kansas)
Prof.
Chung-I Tan
(Brown University)