Exotic smooth $\mathbb R^4$ and quantum matter

We follow the point of view that superstring theory, as the theory of quantum gravity in the number of spacetime dimensions bigger than 4, serves as mathematics for both, 4 dimensional QG and exotic smoothness on open 4-manifolds. Extra-dimensions, supersymmetry or some other string techniques, belong to the mathematical toolkit suitable for the above purposes. Physics in dimension 4 is reached via exotic 4-geometries on

\mathbb{R}^4

. In the paper we discuss the techniques of exact superstring backgrounds, CFT and

SU(2)_k

WZW models, as suitable for the description of effects assigned to the magnetic field and its gravitational backreactions on exotic Euklidean

\mathbb{R}^4

which is the underlying smoothness for the 4-dimensional spacetime.

Note:

8 pages, Based on the talk presented at Quantum Theory and Symmetries 7, Prague, August 7-13, 2011

dimension: 4
field theory: conformal
Wess-Zumino-Witten model: SU(2)
gravitation: back reaction
superstring
quantum gravity
magnetic field
supersymmetry

References(19)

Figures(0)

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Exotic smooth $\mathbb R^4$ and quantum matter