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Non-linear Yang-Mills instantons from strings are $pi$-stable D-branes | | H. Enger
; C.A. Lütken
; | | Date: |
21 Dec 2003 | | Journal: | Nucl.Phys. B695 (2004) 73-83 | | Subject: | hep-th | | Abstract: | We show that B-type $Pi$-stable D-branes do not in general reduce to the (Gieseker-) stable holomorphic vector bundles used in mathematics to construct moduli spaces. We show that solutions of the almost Hermitian Yang--Mills equations for the non-linear deformations of Yang--Mills instantons that appear in the low-energy geometric limit of strings exist iff they are $pi$-stable, a geometric large volume version of $Pi$-stability. This shows that $pi$-stability is the correct physical stability concept. We speculate that this string-canonical choice of stable objects, which is encoded in and derived from the central charge of the string-emph{algebra}, should find applications to algebraic geometry where there is no canonical choice of stable emph{geometrical} objects. | | Source: | arXiv, hep-th/0312254 | | Services: | Forum | Review | PDF | Favorites | |
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