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## String theory in a nutshell

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Houghton Mifflin, Boston Google Scholar. Stanford P. Suppe, F. The panorama after the first superstring revolution consisted of five perturbatively consistent superstring theories, living in a ten-dimensional spacetime. The primary tool for the analysis of perturbative string theory is two-dimensional conformal field theory.

This is a very rich algebro-geometric theory with connections to a wide range of mathematical topics like representation theory of infinite-dimensional Lie algebras and algebraic geometry, and also to physical topics like statistical mechanics and condensed matter.

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The need to relate the ten-dimensional string theory to the four-dimensional physics we observe initiated an intensive study of certain six-dimensional complex geometries known as Calabi-Yau manifolds. A consequence of these investigations is the mirror symmetry conjecture, which has occupied a growing number of mathematicians ever since. As a result of the second revolution the picture has now been drastically altered. Submitted comments will only appear after manual approval, which can take up to 24 hours.

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You may have to click on the orange-white blogger icon next to your name to change to a different account. Thursday, October 01, When string theorists are out of luck, will Loop Quantum Gravity come to rescue? However, several years ago the LQG framework has been extended to higher dimensions, and they can now also include supergravity , so that objection is gone.

As of recently though, some researchers working on LQG have argued that Lorentz-invariance, used as a constraint, leads to requirements on the particle interactions, which then have to become similar to some limits found in string theory. This should come as no surprise to string theorists who have been claiming for decades that there is one and only one way to combine all the known particle interactions This duality relates certain types of gauge theories — similar to those used in the standard model — with string theories. In the last decade, the duality has become exceedingly popular because it provides an alternative to calculations which are difficult or impossible in the gauge theory.

This limit is reasonably well understood. Most string theorists however believe in the full conjecture, which is that the duality remains valid for all values of these parameters. The problem is though, if one does not work in this limit, it is darned hard to calculate anything.