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Results tagged with definition
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user 251344
The definition tag is used in situations where the question is either about how some term or concept is defined or where the validity of an answer depends on a subtle definition of some term or concept used in the question.
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Physical and mathematical relation between $(\tau, \sigma)$ parameters and coordinates $X^\m...
When we define the parameter space for a string Worldsheet $\Sigma$ to be diffeomorphic to, say, $\mathbb{R} \times [0,1]$ or $\mathbb{R}\times S^1$, and use standard coordinates $(\tau, \sigma)$, $\s …
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What does really mean to glue the endpoints of a closed string?
I'm almost all string theory standard textbooks such as Polchinski, Barton Zwiebach's book, etc. It is stated that the Worldsheet (or parameter space) flor the closed string is such that the points $( …
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Why $C^{\infty}(\Sigma, \mathbb{R}^D)$ instead of $\text{Emb}(\Sigma, \mathbb{R}^D)$ in stri...
In most String Theory textbooks, e.g. Polchinski, Blumenhagen et. al., GSW, Becker & Schwarz, Zwiebach, the dynamics of the string is firstly motivated geometrically by the Nambu-Goto action $S_{NG} \ …
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On what space of maps is Polyakov path integral actually defined?
This is a question more concerned about mathematical detail involving the Polyakov path integral.
In section $3.2$ of Polchinski's 1st String Theory book it is stated the following about Polyakov path …
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Precise definition of a string worldsheet as a manifold in string theory
Is anything possibly wrong with my definition, or the conflict between mine and nLab's definition are just a matter of taste? … However Now I want to know two things:
Can be the worldsheet definition be extended to the definition of a Riemann Surface? …
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