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| {{Orphan|date=February 2009}}
| | The author is called Irwin. For many years I've been operating as a payroll clerk. For years he's been residing in North Dakota and his family members loves it. One of the extremely very best issues in the world for me is to do aerobics and I've been performing it for fairly a whilst.<br><br>Also visit my weblog ... [http://www.hotporn123.com/user/RWhiteman std testing at home] |
| {{unreferenced|date=January 2009}}
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| In [[theoretical physics]], a '''twisted sector''' is a subspace of the full [[Hilbert space]] of [[closed string]] states in a particular theory over a (good) [[orbifold]].
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| In the first quantized formalism of [[string theory]] (or maybe just plain old 2D [[conformal field theory]]) the [[target space]] is an orbifold M/G if the observables of the string are only defined modulo G. Consequently, the value of the field after one cycle around the closed string need only be the same as its original value modulo some G transformation.
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| i.e. there exists some <math>g\in G</math> such that
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| :<math>X(\sigma+2\pi,\tau)=g[X(\sigma,\tau)]</math>
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| For each [[conjugacy class]] of G, we have a different [[superselection sector]] (wrt the worldsheet). The conjugacy class consisting of the identity gives rise to the '''untwisted sector''' and all the other conjugacy classes give rise to '''twisted sectors'''. It's easy to see that since the observables are only modulo G, two different g's which are [[conjugate (group theory)|conjugate]] to each other give rise to the same sector.
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| In the second quantized formalism, the different sectors give rise to different [[orbifold projection]]s.
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| {{phys-stub}}
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| [[Category:String theory]]
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| [[Category:Conformal field theory]]
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Latest revision as of 05:11, 7 January 2015
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