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23.03.26, 09:00
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23.03.26, 09:20
The Forgotten BRST Noether Current Ward Identity: 1.5 Noether Theorem for a Deeper Understanding of the Holography Principle in Asymptotically Flat Spaces
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23.03.26, 11:20
BRST Quantization of Constrained Hamiltonian Systems : the example of asymptotically flat gravity
Abstract: The BRST Quantization of Constrained Hamiltonian Systems is reviewed in the explicit case of gravity. The BRST reformulation of the Wheeler-DeWitt equation is discussed. Two specific questions are explicitly analyzed : (i) how to compute physical amplitudes between physical...
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23.03.26, 14:20
Is quantization functorial?
The axiomatic approach to (extended) topological field theories due to Atiyah-Segal-Lurie has been well-studied in the past decades. However, it still is unclear how to describe (BV) quantization in this framework. I will discuss what is known and what could be in the next 50 years.
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23.03.26, 16:10
Eugenia Boffo: BCOV reloaded
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We inspect BCOV theory, a field theory for the deformations of complex structures that also maintain the new volume form still holomorphic. We show that the fields are the observables obtained by BRST quantization of a new topological particle model with (2;2) supersymmetry. Our most important achievement is the formulation of an action functional with the... -
23.03.26, 17:00
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24.03.26, 09:00
Surface observables in 4D BF and Yang–Mills theories
Abelian Yang–Mills theory possesses an interesting gauge-invariant observable defined as (the exponential of) the Hodge dual of the curvature integrated on a surface Sigma (this can be interpreted as the magnetic flux through Sigma). As emphasized by ’t Hooft, a nonabelian version would be of significant interest. In this talk, I will...
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24.03.26, 11:00
Cyclic L-infinity algebras and shifted symplectic forms
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Abstract: Cyclic differential graded Lie algebras and their generalization, cyclic L-infinity algebras, are important in the study of quantum field theories. Kontsevich interpreted them as symplectic formal derived stacks. We explain how this perspective clarifies homological perturbation theory, which may be interpreted as a flow... -
24.03.26, 14:00
Contribution of non-acyclic flat connections in Chern-Simons theory and invariants of 3-manifolds
Abstract:
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Path integral of Chern-Simons theory on a closed 3-manifold gives a family of perturbative partition functions (effective BV actions induced on twisted de Rham cohomology) parametrized by the moduli space of flat connections. This family is horizontal with respect to the... -
24.03.26, 16:00
BV algebras, they don't really exist
Given a differential graded Gerstenhaber algebra $(\mathcal{G},d,\cdot,\{,\})$ and a bigraded homotopy Cartan calculus for it, the choice of a Poincaré duality element enhances the Gerstenhaber algebra structure on $H(\mathcal{G})$ to a BV-algebra structure. Every BV algebra can be realized, essentially in a tautological way, as an instance of...
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25.03.26, 09:00
Ambitwistor-strings, BRST and the Penrose transform
Abstract: Ambitwistor strings are chiral sigma models whose targets are spaces of complex null geodesics in complexified space-times. Their correlation functions generate remarkable formulae for complete tree-level S-matrices of a variety of massless theories including gauge and gravity theories. This talk will focus on the geometry...
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25.03.26, 11:00
On type I supergravity and its twist
Abstract: We review the recent BV formulation of type I supergravity in 10 dimensions and then conjecture a description of its general twist in the sense of Costello and Li. In the special case of a Calabi-Yau 5-fold this recovers the conjectural relation between the twist and the associated Kodaira-Spencer theory.
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25.03.26, 14:00
BV-BRST for operator algebras
Abstract: I'll discuss BV-BRST formalism as a useful tool for analyzing algebras of local and extended operators, in topological and/or holomorphic field theories. I'll focus on examples from recent work, including A-infinity/chiral structures on local operators in 3d holomorphic-topological (HT) theories, line operators in 4d HT theories, and cohomological...
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25.03.26, 16:00
"Everything" is a boundary condition of AKSZ models
The chiral WZW model can be seen as the chiral boundary condition of the Chern-Simons theory. If we move from Chern-Simons to arbitrary AKSZ models, similar boundary conditions give us BV descriptions of "any" (possibly higher gauge) models whose fields are suitable differential forms. The simplest examples come from exact Courant...
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26.03.26, 09:00
Quantum BRST-BV in Topological/Holomorphic Theories
Abstract: We explain the ultra-violet finiteness property of topological/holomorphic theories, which leads to local equations of the corresponding quantum BRST-BV quantization.
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26.03.26, 11:00
Non-holonomic G-structures and supersymmetric field theories
The groundbreaking work of Becchi-Rouet-Stora and Tyutin marks the beginning of (or is at least a synecdoche for) the application of techniques from homological algebra to field theories. Such ideas have flourished over the intervening fifty years, encompassing not only gauge symmetry, but also the dynamics of Lagrangian field...
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26.03.26, 14:00
BV Pushforward and Palatini-Cartan gravity
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Abstract: In this talk I will show how to use a BV pushforward to correct some issues arising in the BV formulation of Palatini Cartan gravity. In particular, I will show that the standard BV formulation of gravity in the Palatini-Cartan formalism is equivalent to an AKSZ-like version compatible with BFV data on the boundary. This talk is based... -
26.03.26, 16:00
Beyond Chern-Simons: The Algebraic Topology of Superconformal Anomalies
Abstract: We present a unified BRST-cohomological framework for anomalies, extending the Chern-Simons formulation of Yang–Mills anomalies to encompass all four-dimensional superconformal anomalies. Central to our approach is the characterization of anomalies through the constraint ideal in the polynomial ring...
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27.03.26, 10:00
The equivariant B-model
Abstract: I will review the equivariant versions of A and B models and present some simple calculations. In the second part of the talk I will concentrate on equivariant B-model and outline some challenges in
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our understanding. -
27.03.26, 11:00
A BV approach to double copy.
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Color kinematics duality is a feature of gauge theories that
appears in the computation of physical amplitudes. Its most relevant application
is the construction of the double copy theory. We discuss the underlying algebraic structure from the
point of view of Batalin-Vilkovisky in the simplified (but meaningful) case of the off shell duality that was... -
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