From 2D conformal to 4D self-dual theories: quaternionic analyticity

Details From 2D conformal to 4D self-dual theories: quaternionic analyticity From 2D conformal to 4D self-dual theories: quaternionic analyticity

1992-07-27

arxiv.org/abs/hep-th/9207089v1

Phys.Rev. D47 (1993) 3496-3508

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX

Scientific paper

10.1103/PhysRevD.47.3496

It is shown that self-dual theories generalize to four dimensions both the conformal and analytic aspects of two-dimensional conformal field theories. In the harmonic space language there appear several ways to extend complex analyticity (natural in two dimensions) to quaternionic analyticity (natural in four dimensions). To be analytic, conformal transformations should be realized on $CP^3$, which appears as the coset of the complexified conformal group modulo its maximal parabolic subgroup. In this language one visualizes the twistor correspondence of Penrose and Ward and consistently formulates the analyticity of Fueter.

Affiliated with

Also associated with

No associations

Rating

From 2D conformal to 4D self-dual theories: quaternionic analyticity 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 From 2D conformal to 4D self-dual theories: quaternionic analyticity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From 2D conformal to 4D self-dual theories: quaternionic analyticity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602351