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BEGIN:VEVENT
DTSTAMP:20261108T231643Z
DTSTART:20261116T150000Z
DTEND:20261116T160000Z
SUMMARY:Katarzyna Rejzner: Quantum master equations with boundaries: pAQF
 T meets BV-BFV
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}wbj-mv2f1x5
 c-ndrysz
DESCRIPTION:Abstract:\n\nThe BV formalism encodes the gauge structure of 
 a field theory in odd symplectic geometry. Its central object is the qua
 ntum master equation\, which fails once spacetime has a boundary. In the
  BV-BFV programme of Cattaneo\, Mnev and Reshetikhin (CMR)\, this failur
 e is compensated by a BFV structure on the boundary\, which gives a modi
 fied classical and quantum master equation. Rigorous results in this pro
 gramme have so far mostly come from topological examples such as BF and 
 Chern–Simons theory. In this talk I will present joint work with Michele
  Schiavina in which we bring these ideas into perturbative algebraic qua
 ntum field theory (pAQFT). We work with gauge theories on globally hyper
 bolic Lorentzian manifolds with marked hypersurfaces\, which we treat as
  “smoothened” boundaries. We formulate the modified master equations in 
 this setting and construct a renormalised quantum BFV operator whose bou
 ndary terms correct the failure of the quantum master equation. On the a
 lgebraic side\, the homotopy Lie algebra that comes from the anomalous M
 aster Ward Identity becomes curved: the boundary contributions show up a
 s a curvature term of an L_?-algebra. As applications\, I will show how 
 this recovers Hollands’ relation between the boundary BRST charge and th
 e BV operator. In Abelian Yang–Mills theory on causal cylinders\, it als
 o reproduces the Cattaneo–Mnev–Reshetikhin quantum BFV ansatz at leading
  order. 
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams room 1\, Alan Turing Building\, Manchester
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