Moduli-dependent Species Scale
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929391345336320 |
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| author | van de Heisteeg, Damian Vafa, Cumrun Wiesner, Max Wu, David H. |
| author_facet | van de Heisteeg, Damian Vafa, Cumrun Wiesner, Max Wu, David H. |
| contents | The counting of the number of light modes in a gravitational theory is captured by the notion of the `species scale', which serves as an effective UV cutoff below the Planck scale. We propose to define a moduli-dependent species scale in the context of 4d, ${\cal N}=2$ theories, using the one loop topological free energy $F_1$, which we relate to a gravitational version of the $a$-function. This leads to $Λ_{\rm sp}\sim 1/\sqrt{F_1}$ from which we recover the expected scaling of the species scale in various corners of the moduli space. Moreover by minimizing $F_1$ we define the center of the moduli space (the `desert point') as a point where the species scale is maximal. At this point the number of light degrees of freedom is minimized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_06841 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Moduli-dependent Species Scale van de Heisteeg, Damian Vafa, Cumrun Wiesner, Max Wu, David H. High Energy Physics - Theory The counting of the number of light modes in a gravitational theory is captured by the notion of the `species scale', which serves as an effective UV cutoff below the Planck scale. We propose to define a moduli-dependent species scale in the context of 4d, ${\cal N}=2$ theories, using the one loop topological free energy $F_1$, which we relate to a gravitational version of the $a$-function. This leads to $Λ_{\rm sp}\sim 1/\sqrt{F_1}$ from which we recover the expected scaling of the species scale in various corners of the moduli space. Moreover by minimizing $F_1$ we define the center of the moduli space (the `desert point') as a point where the species scale is maximal. At this point the number of light degrees of freedom is minimized. |
| title | Moduli-dependent Species Scale |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2212.06841 |