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A092700
Ooguri-Vafa invariants of disk degeneracies for brane III in the O(K) -> P^1 x P^1 geometry.
0
0, 2, 210, 5628, 76488, 680940, 4515558
OFFSET
0,2
COMMENTS
This is row k[s] = 4 (and column k[t] = 5, up to the offset) in Table 3, m = 1, of the Aganagic-Klemm-Vafa paper (page 21) and preprint (page 40). Due to eqn. (6.11), also the opposite of row k[s] = 5 in Table 4, m = -1, up to the offset.
I think the term a(4) should read 76488 instead of 91070 as written in the preprint and paper. I suspect this is an error because from eqn. (6.10), the sequence should equal column k[t] = 5 of Table 3, m = 1, which has 76488 here; also, as written above, eqn. (6.11) links it to Table 4 where we have 76488, too. (The number 91070 comes probably from Table 1 [and 2], for the brane I.) - M. F. Hasler, Nov 03 2025
LINKS
Mina Aganagic, Albrecht Klemm, and Cumrun Vafa, Disk Instantons, Mirror Symmetry and the Duality Web, Z. Naturforsch. A 57 (2002), 1-28; also arXiv:hep-th/0105045, 2001.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Sam Alexander, Mar 05 2004
EXTENSIONS
a(4) corrected and a(6) added by M. F. Hasler, Nov 03 2025
STATUS
approved