We consider the effective N=1 4D supergravity obtained from superstring compactification and we establish full supersymmetry of the Lorentz Chern-Simons terms induced by the modified D=10 supergravity lagrangian. Supersymmetry completion requires an extra coupling of the chiral multiplet S (containing an axion) to a chiral gravitational multiplet which includes both the Hirzebruch signature and the Euler characteristic densities. Then the consistency of the topological condition coming from superstring compactification and full off-shell supersymmetry is eventually proved
Lorentz Chern-Simons terms in N=1 4D supergravity consistent with string compactification / Cecotti, Sergio; Ferrara, S; Girardello, L; Porrati, M.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 164:1-3(1985), pp. 46-50. [10.1016/0370-2693(85)90028-0]
Lorentz Chern-Simons terms in N=1 4D supergravity consistent with string compactification
Cecotti, Sergio;
1985-01-01
Abstract
We consider the effective N=1 4D supergravity obtained from superstring compactification and we establish full supersymmetry of the Lorentz Chern-Simons terms induced by the modified D=10 supergravity lagrangian. Supersymmetry completion requires an extra coupling of the chiral multiplet S (containing an axion) to a chiral gravitational multiplet which includes both the Hirzebruch signature and the Euler characteristic densities. Then the consistency of the topological condition coming from superstring compactification and full off-shell supersymmetry is eventually provedI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.