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  A note on the UV behaviour of maximally supersymmetric Yang-Mills theories

Bossard, G., Howe, P. S., & Stelle, K. S. (2009). A note on the UV behaviour of maximally supersymmetric Yang-Mills theories. Physics Letters B, 682(1), 137-142. doi: http://dx.doi.org/10.1016/j.physletb.2009.10.084.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-60D7-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-50BC-3
Genre: Journal Article

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 Creators:
Bossard, Guillaume1, Author              
Howe, P. S., Author
Stelle, K. S., Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: The question of whether BPS invariants are protected in maximally supersymmetric Yang-Mills theories is investigated from the point of view of algebraic renormalisation theory. The protected invariants are those whose cohomology type differs from that of the action. It is confirmed that one-half BPS invariants ($F^4$) are indeed protected while the double-trace one-quarter BPS invariant ($d^2F^4$) is not protected at two loops in D=7, but is protected at three loops in D=6 in agreement with recent calculations. Non-BPS invariants, i.e. full superspace integrals, are also shown to be unprotected.

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 Dates: 2009
 Publication Status: Published in print
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 Identifiers: eDoc: 436259
arXiv: 0908.3883
DOI: http://dx.doi.org/10.1016/j.physletb.2009.10.084
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Title: Physics Letters B
Source Genre: Journal
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Publ. Info: North-Holland
Pages: - Volume / Issue: 682 (1) Sequence Number: - Start / End Page: 137 - 142 Identifier: ISSN: 0370-2693
CoNE: /journals/resource/954925524777