# Notes on conformal invariance of gauge fields

@article{Barnich2015NotesOC, title={Notes on conformal invariance of gauge fields}, author={Glenn Barnich and Xavier Bekaert and Maxim Grigoriev}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2015}, volume={48} }

In Lagrangian gauge systems, the vector space of global reducibility parameters forms a module under the Lie algebra of symmetries of the action. Since the classification of global reducibility parameters is generically easier than the classification of symmetries of the action, this fact can be used to constrain the latter when knowing the former. We apply this strategy and its generalization for the non-Lagrangian setting to the problem of conformal symmetry of various free higher spin gauge…

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## References

SHOWING 1-10 OF 170 REFERENCES

### Gauge fields in (A)dS within the unfolded approach: algebraic aspects

- Mathematics
- 2009

It has recently been shown that generalized connections of the (A)dSd symmetry algebra provide an effective geometric and algebraic framework for all types of gauge fields in (A)dSd, both for…

### Manifestly conformal descriptions and higher symmetries of bosonic singletons

- Physics, Mathematics
- 2010

The usual ambient space approach to conformal fields is based on identifying the d-dimensional conformal space as the Dirac projective hypercone in a flat d+2-dimensional ambient space. In this work,…

### Gauge fields in (A)dSd within the unfolded approach: algebraic aspects

- Mathematics
- 2010

It has recently been shown that generalized connections of the (A)dSd symmetry algebra provide an effective geometric and algebraic framework for all types of gauge fields in (A)dSd, both for…

### Generalized Symmetries of Massless Free Fields on Minkowski Space

- Mathematics, Physics
- 2008

A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin s 1/2 is carried out. Up to equivalence, these are found to consists of the conformal…

### Notes on the ambient approach to boundary values of AdS gauge fields

- Physics
- 2013

The ambient space Rd,2?> allows us to formulate both fields on AdSd + 1 and conformal fields in d dimensions such that the symmetry algebra o(d,2)?> is realized linearly. We elaborate an ambient…

### On higher spin partition functions

- Physics
- 2015

We observe that the partition function of the set of all free massless higher spins s = 0, 1, 2, 3,... in flat space is equal to one: the ghost determinants cancel against the ‘physical’ ones or,…

### Systematics of Higher Spin Gauge Fields

- Physics
- 1980

Free-field theories for symmetric tensor and tensor-spinor gauge fields have recently been obtained which describe massless particles of arbitrary integer or half-integer spin. An independent…