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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.16779 |
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| _version_ | 1866917885719347200 |
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| author | Gautason, Fridrik Freyr van Muiden, Jesse |
| author_facet | Gautason, Fridrik Freyr van Muiden, Jesse |
| contents | In this note we analyze the semi-classical quantization of D3 branes in three different holographic backgrounds in type IIB string theory. The first background is Euclidean AdS$_5$ with $S^1\times S^3$ boundary accompanied with a twist to preserve supersymmetry. We work out the spectrum of fluctuations around the classical D3-brane configuration, compute its one-loop partition function, and match to the non-perturbative correction to the superconformal index of ${\cal N}=4$ SYM. We then study Euclidean D3-branes in the Pilch-Warner geometry dual to the IR Leigh-Strassler fixed point of ${\cal N}=1^*$ with the aim to find non-perturbative corrections to its index. Finally we study Euclidean D3-branes in the non-geometric ${\cal N}=2$ J-fold background which is dual to the gauging of the 3D Gaiotto-Witten SCFT. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16779 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-loop quantization of Euclidean D3-branes in holographic backgrounds Gautason, Fridrik Freyr van Muiden, Jesse High Energy Physics - Theory In this note we analyze the semi-classical quantization of D3 branes in three different holographic backgrounds in type IIB string theory. The first background is Euclidean AdS$_5$ with $S^1\times S^3$ boundary accompanied with a twist to preserve supersymmetry. We work out the spectrum of fluctuations around the classical D3-brane configuration, compute its one-loop partition function, and match to the non-perturbative correction to the superconformal index of ${\cal N}=4$ SYM. We then study Euclidean D3-branes in the Pilch-Warner geometry dual to the IR Leigh-Strassler fixed point of ${\cal N}=1^*$ with the aim to find non-perturbative corrections to its index. Finally we study Euclidean D3-branes in the non-geometric ${\cal N}=2$ J-fold background which is dual to the gauging of the 3D Gaiotto-Witten SCFT. |
| title | One-loop quantization of Euclidean D3-branes in holographic backgrounds |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.16779 |