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Gauge invariance: quantization and geometry

9–12 Sept 2024
Mons
Europe/Zurich timezone

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Contribution List

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  1. 16. Opening
    09/09/2024, 09:50
  2. 6. Comments on selected aspects of the antifield formalism
    Marc Henneaux (International Solvay Institutes, Belgium)
    09/09/2024, 10:00
  3. 5. Fedosov product on differential forms and flat connections on differential graded manifolds
    Ezra Getzler (Northwestern University, USA)
    09/09/2024, 11:30

    The Hochschild-Kostant-Rosenberg theorem relates negative cyclic homology of the functions on a differential graded manifold M to the de Rham complex of M. The natural A-infinity structure on negative cyclic homology corresponds to an A-infinity structure on the de Rham complex called the Fedosov product. (This product agrees with the usual one if either argument is closed, but it is not...

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  4. 13. $L_\infty$ morphisms for higher BV operators
    Ted Voronov (Manchester University, UK)
    09/09/2024, 13:45

    I will introduce classical and quantum "thick morphisms" of supermanifolds. These are differential-geometric constructions that provide L-infinity morphisms for homotopy analogs of Poisson brackets; in particular, for homotopy brackets generated by higher-order Batalin-Vilkovisky type operators. They generalize ordinary smooth maps of supermanifolds with pullbacks on functions that are non-linear maps.

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  5. 20. Generalized connections for Courant algebroid in sigma models and gravity
    Larisa Jonke (Rudjer Boskovic Institute, Zagreb)
    09/09/2024, 14:45
  6. 4. Covariant phase space and $L_\infty$ algebras
    Ted Erler (Institute of Physics of the Czech Academy of Sciences)
    09/09/2024, 16:15

    Motivated by the problem of giving a Hamiltonian description of nonlocal field theories such as string field theory, we propose a formula for the phase space symplectic structure of a generic Lagrangian field theory expressed in BV form.

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  7. 21. My interaction with Igor Batalin
    Klaus Bering (Masaryk University, Brno)
    09/09/2024, 17:15
  8. 2. BV pushforward and applications
    Alberto Cattaneo (University of Zurich, Switzerland)
    10/09/2024, 10:00

    In the BV formalism the spaces of fields are presented as complexes whose cohomology returns the physical content. Different but equivalent complexes may be used, which turns out to be important conceptually and in practice. One useful operation is that of a partial integration (BV pushforward), which produces a chain map that, under some assumptions, is a quasiisomorphism. This has several...

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  9. 8. BV quantization in topological/holomorphic QFT
    Si Li (Tsinghua University, China)
    10/09/2024, 11:30

    We discuss BV quantization that arises from topologically/holomorphically twisted quantum field theory. We illustrate some applications in topological/chiral algebraic index, topological B-model and mirror symmetry.

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  10. 1. Complete sets of invariant fields in gauge theories and gravity from purely virtual particles
    Damiano Anselmi (University of Pisa, Italy)
    10/09/2024, 13:45
  11. 11. Correlation functions and the homological perturbation lemma
    Richard Szabo (Heriot-Watt University, Edinburgh, UK)
    10/09/2024, 14:45
  12. 14. Homotopy Algebra Perspective on Quantum Field Theory
    Martin Wolf (University of Surrey, UK)
    10/09/2024, 16:15

    I will review recent progress on understanding perturbative quantum field theory within the realm of homotopy algebras.

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  13. 22. Poster session
    10/09/2024, 17:30
  14. 9. Non-topological boundary conditions of perturbative Chern-Simons and AKSZ models
    Pavol Severa (University of Geneva, Switzerland)
    11/09/2024, 10:00

    In Witten's CS/WZW correspondence the chiral WZW model appears from the chiral boundary condition imposed on the CS theory.
    I will describe how similar boundary conditions (mixed chiral-antichiral) of the CS theory and of its AKSZ analogs produce many other interesting examples and how they explain, in particular, Poisson-Lie T-duality. Unlike the CS/WZW correspondence, this generalization is...

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  15. 12. Gauge fixing in coset spaces and supergravities
    Antoine Van Proeyen (KU Leuven, Belgium)
    11/09/2024, 11:30
  16. 3. BV actions for extended geometry
    Martin Cederwall (Chalmers University of Technology, Gothenburg, Sweden)
    11/09/2024, 13:45
  17. 23. TBA
    Alexey Kotov (Hradec Králové University, Czech Republic)
    11/09/2024, 14:45

    TBA

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  18. 24. Geometry of Dirac-BFV quantization and quantum cosmology
    Andrei Barvinsky (Lebedev Physics Institute, Moscow, Russia)
    11/09/2024, 16:15
  19. 25. A BV field theory from super moduli space
    Ivo Sachs (Ludwig Maximilian University of Munich, Germany)
    12/09/2024, 10:00

    The BRST quantisation of the relativistic spinning particle pulls the path integral back to ist (super) moduli space and thereby interpolates between the space-time BV action and the BV-equation on super moduli space. This is perhaps the simplest toy model of super string field theory.

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  20. 19. From Gauge Theories to the octonionic Lie groupoid.
    Thomas Strobl (Claude Bernard University Lyon, France)
    12/09/2024, 11:30

    We first review how one can turn the standard sigma model in
    to a gauge theory and under what conditions. This leads us to the notion
    of singular Riemannian foliations (SRFs) and equivalence of gauge
    theories leads to Morita equivalence of SRFs. This leads one looking at
    the octonionic singular foliation on R^16. In this talk we provide a Lie
    groupoid generating this foliation and show...

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  21. 7. Monopoles, Dirac Strings and Generalised Symmetries
    Chris Hull (Imperial College London, UK)
    12/09/2024, 13:45
  22. 15. Color-kinematics duality in BV formalism
    Maxim Zabzine (Uppsala University, Sweden)
    12/09/2024, 14:45
  23. 10. On some applications of Igor’s work in String Theory
    Samson Shatashvili (Trinity College Dublin, Ireland)
    12/09/2024, 16:15