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Brane fusion in the bosonic string and the emergence of fermionic strings

Francois Englert·Laurent Houart·Anne Taormina
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Abstract

We review the emergence of the ten-dimensional fermionic closed string theories from subspaces of the Hilbert space of the 26-dimensional bosonic closed string theory compactified on an $E_8\times SO(16)$ lattice. They arise from a consistent truncation procedure which generates space-time fermions out of bosons. This procedure is extended to open string sectors. We prove that truncation of the unique tadpole-free $SO(2^{13})$ bosonic string theory compactified on the above lattice determines the anomaly free Chan-Paton group of the Type I theory and the consistent Chan-Paton groups of Type O theories. It also predicts the tension of space-filling D-branes in these fermionic theories. The derivation of these fermionic string properties from bosonic considerations alone points towards a dynamical origin of the truncation process. Space-time fermions and supersymmetries would then arise from bosonic degrees of freedom and no fermionic degrees of freedom would be needed in a fundamental theory of quantum gravity.

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Francois Englert, Laurent Houart, Anne Taormina. 2001-06-25. Brane fusion in the bosonic string and the emergence of fermionic strings. https://doi.org/10.1088/1126-6708%2F2001%2F08%2F013

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