scholarly journals The Seiberg–Witten equations on manifolds with boundary II: Lagrangian boundary conditions for a Floer theory

2018 ◽  
Vol 26 (1) ◽  
pp. 113-216
Author(s):  
Timothy Nguyen
Keyword(s):  
Boundary Conditions ◽  
Manifolds With Boundary ◽  
Floer Theory ◽  
Lagrangian Boundary

scholarly journals Noncovariant Gauges in Simple Supergravity

1997 ◽  
Vol 06 (04) ◽  
pp. 479-490 ◽  
Author(s):  
Giampiero Esposito ◽  
Giuseppe Pollifrone
Keyword(s):  
Boundary Conditions ◽  
Recent Work ◽  
Spectral Type ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Manifolds With Boundary ◽  
Classical Level ◽  
Three Sphere ◽  
Simple Supergravity ◽  
The One

A gauge-averaging functional of the axial type is studied for simple supergravity at one loop about flat Euclidean four-space bounded by a three-sphere, or two concentric three-spheres. This is a generalization of recent work on the axial gauge in quantum supergravity on manifolds with boundary. Ghost modes obey nonlocal boundary conditions of the spectral type, in that half of them obey Dirichlet or Neumann conditions at the boundary. In both cases, they give a vanishing contribution to the one-loop divergence. The admissibility of noncovariant gauges at the classical level is also proved.

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