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One-loop Chern-Simons terms in five dimensions
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DOI：10.1007/JHEP07(2013)043.png)
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Abstract
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We compute one-loop corrections to five-dimensional gauge and gravitational Chern-Simons terms induced by integrating out charged massive fields. The considered massive fields are spin-1/2 and spin-3/2 fermions, as well as complex two-forms with first order kinetic terms. Consistency with six-dimensional gravitational anomalies of (1, 0) and (2, 0) theories is shown by interpreting the massive fields as excited Kaluza-Klein modes in a circle compactification. The results are in accordance with the geometric predictions of the M-theory to F-theory duality as well as the comparison with an explicit one-loop computation in heterotic string theory compactified on K3 x S-1.
Keywords:
Chern-Simons Theories
Field Theories in Higher Dimensions
Anomalies in Field and String Theories
Journal
IF:
5.5
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3.9W
Citations:
13.7W