Citation

BibTex format

@article{Kallosh:2026:10.1007/JHEP08(2026)115,
author = {Kallosh, R and Tseytlin, AA},
doi = {10.1007/JHEP08(2026)115},
journal = {Journal of High Energy Physics},
title = {On anomaly-free 4d N = 4 and 6d (2,0) conformal supergravities and UV finiteness of Poincaré supergravities},
url = {http://dx.doi.org/10.1007/JHEP08(2026)115},
volume = {2026},
year = {2026}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We review the structure of superconformal anomalies in 4d N = 4 conformal supergravity (CSG) coupled to a number N<inf>v</inf> of N = 4 vector multiplets and 6d (2,0) CSG coupled to N<inf>T</inf> of (2,0) tensor multiplets. Anomalies cancel if N<inf>v</inf> = 4 and N<inf>T</inf> = 26 respectively. If the CSG part of the action is dropped and N<inf>v</inf> = 6 + n<inf>v</inf>, the first theory is classically equivalent to the 4d N = 4 Poincaré supergravity (PSG) coupled to n<inf>v</inf> vector multiplets, while the second one with N<inf>T</inf> = 5 + n<inf>T</inf> is classically equivalent to the 6d (2,0) PSG coupled to n<inf>T</inf> tensor multiplets. We suggest that these facts imply that divergences in the 4d PSG with n<inf>v</inf> vectors should be proportional to n<inf>v</inf> + 2 and similarly in the 6d PSG with n<inf>T</inf> tensors to n<inf>T</inf> – 21. This conjecture appears to be consistent with most of the known results of explicit scattering amplitude computations in these 4d and 6d PSG theories, apart from one coefficient in the 3-loop mixed vector scattering amplitude computed in arXiv:1305.4876.
AU  - Kallosh,R
AU  - Tseytlin,AA
DO  - 10.1007/JHEP08(2026)115
PY  - 2026///
TI  - On anomaly-free 4d N = 4 and 6d (2,0) conformal supergravities and UV finiteness of Poincaré supergravities
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP08(2026)115
VL  - 2026
ER  -
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