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Results tagged with dg.differential-geometry
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user 30967
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
2
votes
0
answers
234
views
What exactly is the role of the mysterious manifold underlying the definition of a superspace?
In the intro to chapter 12.3 of this book about the applications of coherent states, it says that
classical spaces for bosons are real or complex vector spaces or manifolds, whereas classical spaces f …
- 418
6
votes
0
answers
215
views
Physical effects in supersymmetric theories of the underlying supermanifold being split or n...
Given an $m$-dimensional $C^{\infty}$ manifold $M$ with an $n$-dimensional vector bundle $E$ over $M$, one can use the transition functions of the manifold and the bundle to construct an ($m,n$)-dimen …
- 418
3
votes
1
answer
347
views
Does fixing the reparameterization invariance of the string action correspond to some kind o...
Does fixing the reparameterization invariance of the string action, for example by choosing the light-cone gauge
$$
X^{+} = \beta\alpha' p^{+}\tau
$$
$$
p^{+} = \frac{2\pi}{\beta} P^{\tau +}
$$
co …
- 418