期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2015)017
关键词
Higher Spin Symmetry; AdS-CFT Correspondence; Conformal and W Symmetry; Supergravity Models
资金
- ERC Advanced grant [290456]
- Russian Science Foundation [14-42-00047]
- Lebedev Institute
- Russian Science Foundation [14-42-00047] Funding Source: Russian Science Foundation
- Science and Technology Facilities Council [ST/J000353/1, ST/L00044X/1] Funding Source: researchfish
- STFC [ST/L00044X/1, ST/J000353/1] Funding Source: UKRI
We compute the conformal anomaly a-coefficient for some non-unitary (higher derivative or non-gauge-invariant) 6d conformal fields and their supermultiplets. We use the method based on a connection between 6d determinants on S-6 and 7d determinants on AdS(7). We find, in particular, that (1,0) supermultiplet containing 4-derivative gauge-invariant conformal vector has precisely the value of a-anomaly as attributed in arXiv: 1506.03807 (on the basis of R-symmetry and gravitational 't Hooft anomaly matching) to the standard (1,0) vector multiplet. We also show that higher derivative (2,0) 6d conformal supergravity coupled to exactly 26 (2,0) tensor multiplets has vanishing a-anomaly (and also vanishing Casimir energy on 5-sphere). This is the 6d counterpart of the known fact of cancellation of the conformal anomaly in the 4d system of N = 4 conformal supergravity coupled to 4 vector N = 4 multiplets. In the case when 5 of tensor multiplets are chosen to be ghost-like and the conformal symmetry is spontaneously broken by a quadratic scalar constraint the resulting IR theory may be identified with (2,0) Poincare supergravity coupled to 21 = 26 - 5 tensor multiplets. The latter theory is known to be special - it is gravitational anomaly free and results upon compactification of 10d type IIB supergravity on K3.
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