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BV Formalism and Partition Functions
by Pietro Antonio Grassi, Ondrej Hulik
Submission summary
| Authors (as registered SciPost users): | Pietro Grassi |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2410.18285v1 (pdf) |
| Date submitted: | 2024-11-22 09:56 |
| Submitted by: | Grassi, Pietro |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
The BV formalism is a well-established method for analyzing symmetries and quantization of field theories. In this paper we use the BV formalism to derive partition functions of gauge invariant operators up to equations of motions and their redundancies of selected theories. We discuss various interpretations of the results, some dualities and relation to first quantized models.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
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Report
The paper analyzes the Poincaré polynomials (here called partition functions) for the moduli spaces of several field theories. It produces an interesting overview and some novel results. As a particularly interesting applications, the authors show in an example how this technique simplifies the computation of the OPE weights in a CFT.
Requested changes
I think the paper would improve if the authors spend a few paragraphs explaining how the "partition function" is defined and computed instead of just relying on the literature.
In addition, there are several typos throughout the paper.
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Publish (surpasses expectations and criteria for this Journal; among top 10%)
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Please see the attached report file.
Requested changes
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Recommendation
Ask for minor revision