Abstract
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 AdS5 with S1 × S3 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 \( \mathcal{N} \) = 4 SYM. We then study Euclidean D3-branes in the Pilch-Warner geometry dual to the IR Leigh-Strassler fixed point of \( \mathcal{N} \) = 1* with the aim to find non-perturbative corrections to its index. Finally we study Euclidean D3-branes in the non-geometric \( \mathcal{N} \) = 2 J-fold background which is dual to the gauging of the 3D Gaiotto-Witten SCFT.
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Acknowledgments
We are grateful to Francesco Benini, Nikolay Bobev, Ohad Mamroud, Valentina Puletti, and Martí Rosselló for fruitful discussions. The research of FFG is supported by the Icelandic Research Fund under grant 228952-053 and is partially supported by grants from the University of Iceland Research Fund. JvM is supported by the ERC-COG grant NP-QFT No. 864583 “Non-perturbative dynamics of quantum fields: from new deconfined phases of matter to quantum black holes”, by the MUR-FARE2020 grant No. R20E8NR3HX “The Emergence of Quantum Gravity from Strong Coupling Dynamics”, and by INFN Iniziativa Specifica ST&FI. JvM also thanks the ITF at KU Leuven for hospitality during the preparation of this manuscript. FFG would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Black holes: bridges between number theory and holographic quantum information, where work on this paper was undertaken. This work was supported by EPSRC grant EP/R014604/1.
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Gautason, F.F., van Muiden, J. One-loop quantization of Euclidean D3-branes in holographic backgrounds. J. High Energ. Phys. 2024, 73 (2024). https://doi.org/10.1007/JHEP06(2024)073
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DOI: https://doi.org/10.1007/JHEP06(2024)073