Quantum mechanics of the doubled torus | Zendy

Emily Hackett-Jones | Zendy; George Moutsopoulos | Zendy

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Quantum mechanics of the doubled torus

Author(s) -

Emily Hackett-Jones,

George Moutsopoulos

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/10/062

Subject(s) - torus , quantization (signal processing) , lagrangian , hamiltonian mechanics , classical mechanics , hull , hamiltonian system , hamiltonian (control theory) , physics , supersymmetric quantum mechanics , point (geometry) , mathematics , theoretical physics , quantum , quantum mechanics , geometry , quantum dynamics , algorithm , engineering , mathematical optimization , marine engineering , phase space

We investigate the quantum mechanics of the doubled torus system, introducedby Hull [1] to describe T-folds in a more geometric way. Classically, thissystem consists of a world-sheet Lagrangian together with some constraints,which reduce the number of degrees of freedom to the correct physical number.We consider this system from the point of view of constrained Hamiltoniandynamics. In this case the constraints are second class, and we can quantize onthe constrained surface using Dirac brackets. We perform the quantization for asimple T-fold background and compare to results for the conventionalnon-doubled torus system. Finally, we formulate a consistent supersymmetricversion of the doubled torus system, including supersymmetric constraints.Comment: 31 pages, 1 figure; v2: references added, minor corrections to final sectio

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