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Asymptotic Symmetries in the BV-BFV Formalism
We show how to derive asymptotic charges for field theories on manifolds with “asymptotic” boundary, using the BV-BFV formalism. We also prove that...
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Superfield Generating Equation of Field-Antifield Formalism
AbstractA simple quantum superfield generating equation of the field-antifield formalism is proposed. The Schroedinger equation with the Hamiltonian...
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DGLA Dg and BV formalism
Differrential Graded Lie Algebra Dg was previously introduced in the context of current algebras. We show that under some conditions, the problem of...
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Unitary, Anomalous Master Ward Identity and its Connections to the Wess–Zumino Condition, BV Formalism and \(L_\infty \)-algebras
The C*-algebraic construction of QFT by Buchholz and one of us relies on the causal structure of space-time and a classical Lagrangian. In one of our...
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Geometric BV for twisted Courant sigma models and the BRST power finesse
We study twisted Courant sigma models, a class of topological field theories arising from the coupling of 3D 0-/2-form BF theory and Chern-Simons...
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Multiplicative Renormalizability of Yang-Mills Theory with the Background Field Method in the BV Formalism
Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV formalism, we...
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Unfree Gauge Symmetry
AbstractThe gauge symmetry is said unfree if the gauge transformation leaves the action functional unchanged provided for the gauge parameters are...
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Pure Spinors in Classical and Quantum Supergravity
This is an overview of the method of pure spinor superfields, written for Handbook of Quantum Gravity, eds. C. Bambi, L. Modesto, and I. Shapiro. The...
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The teleparallel complex
We formalise the teleparallel version of extended geometry (including gravity) by the introduction of a complex, the differential of which provides...
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Anticanonical Transformations and Grand Jacobian
An independent (algebraic) proof is given of the factorization property of the Grand Jacobian corresponding to the anticanonical transformations in...
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The BV action of 3D twisted R-Poisson sigma models
We determine the solution to the classical master equation for a 3D topological field theory with Wess-Zumino term and an underlying geometrical...
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Locally Covariant Approach to Effective Quantum Gravity
Despite the fact that quantum gravity is non-renormalizable, a consistent and mathematically rigorous construction of a perturbation series is...
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Axial anomalies of maximally supersymmetric tensor theories
We revisit anomalies of (4, 0) and (3, 1) maximally supersymmetric tensor theories in d = 6. A (4, 0) on-shell tensor multiplet descends to that of...
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Off-shell divergences in quantum gravity
We investigate off-shell perturbative renormalisation of pure quantum gravity for both background metric and quantum fluctuations. We show that at...
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Braided quantum electrodynamics
The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is,...
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On a gauge-invariant deformation of a classical gauge-invariant theory
We consider a general gauge theory with independent generators and study the problem of gauge-invariant deformation of initial gauge-invariant...
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Canonical Supermultiplets and Their Koszul Duals
The pure spinor superfield formalism reveals that, in any dimension and with any amount of supersymmetry, one particular supermultiplet is...
