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- W3105047012 abstract "We study certain properties of six-dimensional tensionless E-strings (arising from zero size $E_8$ instantons). In particular we show that $n$ E-strings form a bound string which carries an $E_8$ level $n$ current algebra as well as a left-over conformal system with $c=12n-4-{248n over n+30}$, whose characters can be computed. Moreover we show that the characters of the $n$-string bound state are captured by N=4 U(n) topological Yang-Mills theory on $half K3$. This relation not only illuminates certain aspects of E-strings but can also be used to shed light on the properties of N=4 topological Yang-Mills theories on manifolds with $b_2^+=1$. In particular the E-string partition functions, which can be computed using local mirror symmetry on a Calabi-Yau three-fold, give the Euler characteristics of the Yang-Mills instanton moduli space on $half K3$. Moreover, the partition functions are determined by a gap condition combined with a simple recurrence relation which has its origins in a holomorphic anomaly that has been conjectured to exist for N=4 topological Yang-Mills on manifolds with $b_2^+=1$ and is also related to the holomorphic anomaly for higher genus topological strings on Calabi-Yau threefolds." @default.
- W3105047012 created "2020-11-23" @default.
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- W3105047012 date "1998-09-01" @default.
- W3105047012 modified "2023-09-25" @default.
- W3105047012 title "E-strings and N = 4 topological Yang-Mills theories" @default.
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- W3105047012 doi "https://doi.org/10.1016/s0550-3213(98)00426-x" @default.
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