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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2211.08607 |
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| _version_ | 1866914893022625792 |
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| author | Ahmadain, Amr Wall, Aron C. |
| author_facet | Ahmadain, Amr Wall, Aron C. |
| contents | We explain why Tseytlin's off-shell formulation of string theory is well-defined. Although quantizing strings on an off-shell background requires an arbitrary choice of Weyl frame, this choice is not physically significant since it can be absorbed into a field redefinition of the target space fields. The off-shell formalism is particularly subtle at tree-level, due to the treatment of the noncompact conformal Killing group SL(2,$\mathbb{C}$) of the sphere. We prove that Tseytlin's sphere prescriptions recover the standard tree-level Lorentzian S-matrix, and show how to extract the stringy $i\varepsilon$ prescription from the UV cutoff on the worldsheet. We also demonstrate that the correct tree-level equations of motion are obtained to all orders in perturbation theory in $g_s$ and $α^{\prime}$, and illuminate the close connection between the string action and the c-theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_08607 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Off-Shell Strings I: S-matrix and Action Ahmadain, Amr Wall, Aron C. High Energy Physics - Theory We explain why Tseytlin's off-shell formulation of string theory is well-defined. Although quantizing strings on an off-shell background requires an arbitrary choice of Weyl frame, this choice is not physically significant since it can be absorbed into a field redefinition of the target space fields. The off-shell formalism is particularly subtle at tree-level, due to the treatment of the noncompact conformal Killing group SL(2,$\mathbb{C}$) of the sphere. We prove that Tseytlin's sphere prescriptions recover the standard tree-level Lorentzian S-matrix, and show how to extract the stringy $i\varepsilon$ prescription from the UV cutoff on the worldsheet. We also demonstrate that the correct tree-level equations of motion are obtained to all orders in perturbation theory in $g_s$ and $α^{\prime}$, and illuminate the close connection between the string action and the c-theorem. |
| title | Off-Shell Strings I: S-matrix and Action |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2211.08607 |