Abstract
We search for N = 2, d = 4 theories which can be realized both as heterotic string compactifications on K3 × T 2 and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative superpotential of one string theory is given in terms of tree level computations in the other string theory. In particular we find concrete examples which provide the stringy realization of the results of Seiberg and Witten on N = 2 Yang-Mills theory, corrected by gravitational/ stringy effects. We also discuss some examples which shed light on how the moduli spaces of different N = 2 heterotic vacua are connected.
Highlights
There has been tremendous progress in our understanding of N=2 supersymmetric field theories [1,2,3,4,5,6] and N=2 supersymmetric type II string compactifications [7][8][9]
We find examples which suggest that many naively distinct heterotic N=2 moduli spaces are connected, in a way which is very analogous to the way the different type II Calabi-Yau compactifications are connected [8][17]
A heterotic model in which all of the gauge symmetry came from the U (1)4 of the torus would be dual to a CalabiYau with b11 = 3, perhaps
Summary
There has been tremendous progress in our understanding of N=2 supersymmetric field theories [1,2,3,4,5,6] and N=2 supersymmetric type II string compactifications [7][8][9]. In the context of N = 2 compactifications of heterotic strings, since the dilaton sits in a vector multiplet, it follows from Strominger’s postulate that the moduli space of hypermultiplets is exact at the tree level while the vector multiplets can receive quantum corrections. For compactifications on K3 there is a universal contribution to the spectrum of matter hypermultiplets coming from the higher dimensional gravitational fields; this consists of 20 gauge singlet hypermultiplet moduli. The gravitational contribution is a universal 20, while the number of moduli of an SU (N ) bundle with K3 c2(V ) = A is AN + 1 − N 2 Using these formulas (and the knowledge that embedding an SU (N ) bundle in the gauge group will reduce the rank by N − 1) it is easy to find the generic spectra of models of this type
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
