E-Strings and N=4 Topological Yang-Mills Theories

Details E-Strings and N=4 Topological Yang-Mills Theories E-Strings and N=4 Topological Yang-Mills Theories

1998-02-25

arxiv.org/abs/hep-th/9802168v2

Nucl.Phys. B527 (1998) 581-623

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, no figures, harvmac. version 2: Note added, typos removed and formula (6.15) corrected

Scientific paper

10.1016/S0550-3213(98)00426-X

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.

Affiliated with

Also associated with

No associations

Rating

E-Strings and N=4 Topological Yang-Mills Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with E-Strings and N=4 Topological Yang-Mills Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and E-Strings and N=4 Topological Yang-Mills Theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-283166