Aspects of Type IIB Theory on ALE Spaces

Details Aspects of Type IIB Theory on ALE Spaces Aspects of Type IIB Theory on ALE Spaces

1996-10-18

arxiv.org/abs/hep-th/9610140v2

Phys.Rev. D55 (1997) 6382-6393

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, three figures. Uses harvmac.tex and epsf.tex (sentences corrected on pages 13+14, reference added, small addition to

Scientific paper

10.1103/PhysRevD.55.6382

D-brane technology and strong/weak coupling duality supplement traditional orbifold techniques by making certain background geometries more accessible. In this spirit, we consider some of the geometric properties of the type IIB theory on R^6 \times M where M is an `Asymptotically Locally Euclidean (ALE)' gravitational instanton. Given the self-duality of the theory, we can extract the geometry (both singular and resolved) seen by the weakly coupled IIB string by studying the physics of a D1-brane probe. The construction is both amusing and instructive, as the physics of the probe completely captures the mathematics of the construction of ALE instantons via `HyperKahler Quotients', as presented by Kronheimer. This relation has been noted by Douglas and Moore for the A-series. We extend the explicit construction to the case of the D- and E-series -- uncovering a quite beautiful structure -- and highlight how all of the elements of the mathematical construction find their counterparts in the physics of the type IIB D-string. We discuss the explicit ALE metrics which may be obtained using these techniques, and comment on the role duality plays in relating gauged linear sigma models to conformal field theories.

Affiliated with

Also associated with

No associations

Rating

Aspects of Type IIB Theory on ALE Spaces 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 Aspects of Type IIB Theory on ALE Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aspects of Type IIB Theory on ALE Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-383523