Archivio Istituzionale della RicercaUsing a mass formula for Englert-type solutions on arbitrary coset spaces, we have found that if the coset is the round S7, no massless fermions exist. For this purpose we develop a method to decompose SO(8) representations with respect to spin(7), which enables us to compute the eigenvalues of the spin(7)-invariant differential operators in the mass matrix by using algebraic identities satisfied by them.
Fermion masses for the Englert solution on the round seven-sphere / L., C., D'Auria, R., P., F., K., P., P., V.N.. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 30:8(1984), pp. 1688-1694. [10.1103/PhysRevD.30.1688]
Fermion masses for the Englert solution on the round seven-sphere
D'AURIA, RICCARDO;
1984
Abstract
Using a mass formula for Englert-type solutions on arbitrary coset spaces, we have found that if the coset is the round S7, no massless fermions exist. For this purpose we develop a method to decompose SO(8) representations with respect to spin(7), which enables us to compute the eigenvalues of the spin(7)-invariant differential operators in the mass matrix by using algebraic identities satisfied by them.
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https://hdl.handle.net/11583/1637966
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