Details
| Original language | English |
|---|---|
| Article number | 227 |
| Journal | Journal of high energy physics |
| Volume | 2024 |
| Issue number | 10 |
| Publication status | Published - 30 Oct 2024 |
Abstract
We compute the conformal anomalies for 6d (2,0) conformal supergravity by direct calculation in component fields. The main novel results consist of the type-B anomaly coefficients for the gravitino and the 3-form, as well as their explicit quadratic action on some specific backgrounds. We also comment on the graviton contribution, whose Lagrangian is essentially given by the Q-curvature. We confirm the expectation that, when coupling (2,0) conformal supergravity to 26 copies of the (2,0) tensor multiplet, the resulting theory is free of conformal anomalies. We also consider the conformal anomalies for its (1,0) truncation and confirm their relation with the chiral anomaly polynomial recently derived. For calculating the anomalies, we work with an Einstein on-shell background and make a factorised Ansatz for the operators governing the quadratic fluctuations. This reduces the calculation to evaluating heat-kernel coefficients of standard 2-derivative operators. We fix and check our Ansatz against the explicit evaluation of the component-field supergravity action in some cases.
Keywords
- Anomalies in Field and String Theories, Field Theories in Higher Dimensions, Scale and Conformal Symmetries, Supergravity Models
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2024, No. 10, 227, 30.10.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Conformal anomalies for (maximal) 6d conformal supergravity
AU - Casarin, Lorenzo
AU - Kennedy, Christian
AU - Tartaglino-Mazzucchelli, Gabriele
N1 - Publisher Copyright: © The Author(s) 2024.
PY - 2024/10/30
Y1 - 2024/10/30
N2 - We compute the conformal anomalies for 6d (2,0) conformal supergravity by direct calculation in component fields. The main novel results consist of the type-B anomaly coefficients for the gravitino and the 3-form, as well as their explicit quadratic action on some specific backgrounds. We also comment on the graviton contribution, whose Lagrangian is essentially given by the Q-curvature. We confirm the expectation that, when coupling (2,0) conformal supergravity to 26 copies of the (2,0) tensor multiplet, the resulting theory is free of conformal anomalies. We also consider the conformal anomalies for its (1,0) truncation and confirm their relation with the chiral anomaly polynomial recently derived. For calculating the anomalies, we work with an Einstein on-shell background and make a factorised Ansatz for the operators governing the quadratic fluctuations. This reduces the calculation to evaluating heat-kernel coefficients of standard 2-derivative operators. We fix and check our Ansatz against the explicit evaluation of the component-field supergravity action in some cases.
AB - We compute the conformal anomalies for 6d (2,0) conformal supergravity by direct calculation in component fields. The main novel results consist of the type-B anomaly coefficients for the gravitino and the 3-form, as well as their explicit quadratic action on some specific backgrounds. We also comment on the graviton contribution, whose Lagrangian is essentially given by the Q-curvature. We confirm the expectation that, when coupling (2,0) conformal supergravity to 26 copies of the (2,0) tensor multiplet, the resulting theory is free of conformal anomalies. We also consider the conformal anomalies for its (1,0) truncation and confirm their relation with the chiral anomaly polynomial recently derived. For calculating the anomalies, we work with an Einstein on-shell background and make a factorised Ansatz for the operators governing the quadratic fluctuations. This reduces the calculation to evaluating heat-kernel coefficients of standard 2-derivative operators. We fix and check our Ansatz against the explicit evaluation of the component-field supergravity action in some cases.
KW - Anomalies in Field and String Theories
KW - Field Theories in Higher Dimensions
KW - Scale and Conformal Symmetries
KW - Supergravity Models
UR - http://www.scopus.com/inward/record.url?scp=85208486404&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2024)227
DO - 10.1007/JHEP10(2024)227
M3 - Article
AN - SCOPUS:85208486404
VL - 2024
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 10
M1 - 227
ER -