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Classical solutions for exotic instantons?
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DOI：10.1088/1126-6708/2009/03/056.png)
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Abstract
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We consider the D7/D(-1) system in Type I' as a prototypical exotic brane instanton. With respect to systems such as the D3/D(-1) ones, which correspond to gauge instantons in four dimensions, exotic systems lack the bosonic mixed moduli omega of the ADHM construction, related to the instanton size rho, and their possible field-theoretical interpretation as classical solutions is an important open question. For the system at hand, we propose that it corresponds to the point-like limit rho -> 0 of the eight-dimensional so-called SO(8) instanton solution. This configuration is a solution of the quartic term of the non-abelian D7 action, i.e. the term which stays finite in the limit alpha' -> 0 with g(s) fixed that preserves the D(-1) effects. As a necessary consistency condition, we check that the next order term in the non-abelian effective action vanishes on the SO(8) solution so that the limit we take is well-defined.
Keywords:
D-branes
Superstrings and Heterotic Strings
Solitons Monopoles and Instantons
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