Double sigma models
This thesis investigates the properties of the interacting chiral boson model for the maximally doubled string. We first introduce and briefly review double field theory. We then review two world-sheet actions for the doubled string: Tseytlin’s original duality symmetric string and a recent example...
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
2021
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| Online Access: | https://eprints.nottingham.ac.uk/64058/ |
| _version_ | 1848800085288157184 |
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| author | Smith, Robert C. |
| author_facet | Smith, Robert C. |
| author_sort | Smith, Robert C. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This thesis investigates the properties of the interacting chiral boson model for the maximally doubled string. We first introduce and briefly review double field theory. We then review two world-sheet actions for the doubled string: Tseytlin’s original duality symmetric string and a recent example of the double sigma model based on Hull’s doubled formalism, which is constructed to be equivalent to Tseytlin’s formulation. One feature of the latter concerns the underlying assumption of a base-fibre split, which means the fibre metric depends only on the base coordinates. In this thesis, we instead consider the case in which all coordinates are doubled. Taking the most general form of the Tseytlin action in which the fields possess arbitrary dependence on the full doubled geometry, we investigate whether a generic approach to the interacting chiral boson model - one which does not assume O(D,D) invariance from the outset - satisfies the requirement of conformal invariance at the quantum level. This demands that the doubled beta-functionals of the sigma model couplings vanish in the maximally doubled space. |
| first_indexed | 2025-11-14T20:45:57Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-64058 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:45:57Z |
| publishDate | 2021 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-640582025-02-28T12:24:42Z https://eprints.nottingham.ac.uk/64058/ Double sigma models Smith, Robert C. This thesis investigates the properties of the interacting chiral boson model for the maximally doubled string. We first introduce and briefly review double field theory. We then review two world-sheet actions for the doubled string: Tseytlin’s original duality symmetric string and a recent example of the double sigma model based on Hull’s doubled formalism, which is constructed to be equivalent to Tseytlin’s formulation. One feature of the latter concerns the underlying assumption of a base-fibre split, which means the fibre metric depends only on the base coordinates. In this thesis, we instead consider the case in which all coordinates are doubled. Taking the most general form of the Tseytlin action in which the fields possess arbitrary dependence on the full doubled geometry, we investigate whether a generic approach to the interacting chiral boson model - one which does not assume O(D,D) invariance from the outset - satisfies the requirement of conformal invariance at the quantum level. This demands that the doubled beta-functionals of the sigma model couplings vanish in the maximally doubled space. 2021-03-15 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/64058/1/MastersThesis_main_reviewedcorrection.pdf Smith, Robert C. (2021) Double sigma models. MRes thesis, University of Nottingham. String theory Double sigma models Duality symmetric string M-theory Non-geometry Generalised geometry Double field theory |
| spellingShingle | String theory Double sigma models Duality symmetric string M-theory Non-geometry Generalised geometry Double field theory Smith, Robert C. Double sigma models |
| title | Double sigma models |
| title_full | Double sigma models |
| title_fullStr | Double sigma models |
| title_full_unstemmed | Double sigma models |
| title_short | Double sigma models |
| title_sort | double sigma models |
| topic | String theory Double sigma models Duality symmetric string M-theory Non-geometry Generalised geometry Double field theory |
| url | https://eprints.nottingham.ac.uk/64058/ |