Imperial College London
Alternate

ProfessorKelloggStelle

Faculty of Natural Sciences, Department of Physics

Professor of Physics
 
 
 
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Contact

 

+44 (0)20 7594 7826k.stelle

 
 
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Assistant

 

Mrs Graziela De Nadai-Sowrey +44 (0)20 7594 7843

 
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Location

 

519Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Bossard:2009:10.1007/s10714-009-0775-0,
author = {Bossard, G and Howe, PS and Stelle, KS},
doi = {10.1007/s10714-009-0775-0},
pages = {919--981},
publisher = {SPRINGER/PLENUM PUBLISHERS},
title = {The ultra-violet question in maximally supersymmetric field theories},
url = {http://dx.doi.org/10.1007/s10714-009-0775-0},
year = {2009}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - We discuss various approaches to the problem of determining which supersymmetric invariants are permitted as counterterms in maximally supersymmetric super Yang–Mills and supergravity theories in various dimensions. We review the superspace non-renormalisation theorems based on conventional, light-cone, harmonic and certain non-Lorentz covariant superspaces, and we write down explicitly the relevant invariants. While the first two types of superspace admit the possibility of one-half BPS counterterms, of the form F 4 and R 4 respectively, the last two do not. This suggests that UV divergences begin with one-quarter BPS counterterms, i.e. d 2 F 4 and d 4 R 4, and this is supported by an entirely different approach based on algebraic renormalisation. The algebraic formalism is discussed for non-renormalisable theories and it is shown how the allowable supersymmetric counterterms can be determined via cohomological methods. These results are in agreement with all the explicit computations that have been carried out to date. In particular, they suggest that maximal supergravity is likely to diverge at four loops in D = 5 and at five loops in D = 4, unless other infinity suppression mechanisms not involving supersymmetry or gauge invariance are at work.
AU  - Bossard,G
AU  - Howe,PS
AU  - Stelle,KS
DO  - 10.1007/s10714-009-0775-0
EP  - 981
PB  - SPRINGER/PLENUM PUBLISHERS
PY  - 2009///
SN  - 0001-7701
SP  - 919
TI  - The ultra-violet question in maximally supersymmetric field theories
UR  - http://dx.doi.org/10.1007/s10714-009-0775-0
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000264598500012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007%2Fs10714-009-0775-0
UR  - http://hdl.handle.net/10044/1/79733
ER  -
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