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Classical and quantum Lagrangian field theories with boundary
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This note gives an introduction to Lagrangian field theories in the presence of boundaries. After an overview of the classical aspects, the cohomological formalisms to resolve singularities in the bulk and in the boundary theories (the BV and the BFV formalisms, respectively) are recalled. One of the goals here (and in [arXiv:1201.0290]) is to show how the latter two formalisms can be put together in a consistent way, also in view of perturbative quantization.
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Symmetries Beget Symmetries: Ghostly Higher-Form Symmetries and the Descent Equation
Using the BV formalism, the authors show that descent equations turn ordinary higher-form symmetries into families of 'ghostly' symmetries generated by currents of nonzero ghost number.
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