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Results tagged with string-theory
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user 36148
A class of theories that attempt to explain all existing particles (including force carriers) as vibrational modes of extended objects, such as the 1-dimensional fundamental string.
6
votes
Accepted
Does $SO(32) \sim_T E_8 \times E_8$ relate to some group theoretical fact?
The answer to this question can be found in Lubos Motl's answer to this question of mine on Physics.SE.
The key here are the weight lattices bosonic representations $\Gamma$ of these gauge groups.
…
5
votes
Why does bosonic string theory require 26 spacetime dimensions?
$$$$
Note, that here, the $\hat L_n$ are operators on the state given by the sums of the dots of the mode operators, i.e. $\hat L_0=\sum_{k=-\infty}^\infty\hat\alpha_{-n}\cdot\hat\alpha_n$.
Al …
2
votes
String theory "computation" for math undergrad audience
Derive the Casimir Energy in Bosonic String Theory.
You start with the $\hat L_0$ operator and get rid of the non-vacuum $\displaystyle\frac{\alpha_0^2}{2}+\sum_{n=1}^\infty\alpha_{-n}\cdot\alpha_n …
1
vote
The Fuchsian monodromy problem
Equation 6.2 is just the Liovelle Action, the action principle for the Liouville Field, which is well-known from the familiar conformal gauge.
$$S_L=\frac{c}{96\pi}\int_\mathcal{M}\left(\dot\varphi^2- …