Is There a Spectral-Flow Explanation for Bosonic Self-Dual Tensor Anomalies?

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SUMMARY

The discussion centers on the spectral-flow viewpoint regarding chiral anomalies, specifically as outlined in Peskin & Schroeder, Chapter 19.1. The conversation highlights the importance of the fermi sea level concept, which is primarily applicable to fermions. However, the inquiry raises the question of whether a similar framework exists for bosonic self-dual tensor anomalies, particularly in the context of gravitational anomalies. The participants express difficulty in finding literature that addresses this specific anomaly in relation to spectral-flow concepts.

PREREQUISITES
  • Understanding of chiral anomalies in quantum field theory
  • Familiarity with the spectral-flow viewpoint as discussed in Peskin & Schroeder
  • Knowledge of bosonic self-dual tensor fields and their properties
  • Basic concepts of gravitational anomalies in theoretical physics
NEXT STEPS
  • Research the implications of fermi sea levels in quantum field theories
  • Explore the relationship between spectral-flow and bosonic anomalies
  • Investigate gravitational anomalies in the context of self-dual tensor fields
  • Review advanced texts on many-body physics to find relevant discussions
USEFUL FOR

The discussion is beneficial for theoretical physicists, particularly those specializing in quantum field theory, anomaly research, and the study of bosonic fields. It is also relevant for graduate students seeking to deepen their understanding of chiral and gravitational anomalies.

William Nelso
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I like the spectral-flow viewpoint on chiral anomalies, as described for instance in Peskin & Schroeder, last part of Ch. 19.1 This appears to depend crucially on the concept of fermi sea level, making it specific to fermions. However, bosonic self-dual tensor fields also have an anomaly (gravitational). Hence my question - is there a similar understanding for this type of anomaly? I have not been able to find this question addressed.
 
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Where in this section precisely do you see anything about the Fermi sea? The book is not about many-body physics!
 

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