Nonrenormalization theorem for N $$ \mathcal{N} $$ = (4, 4) interface entropy
Abstract We derive a formula for the half-BPS interface entropy between any pair of N $$ \mathcal{N} $$ = (4, 4) theories on the same conformal manifold. This generalizes the diastasis formula derived in [1] for N $$ \mathcal{N} $$ = (2, 2) theories, which is restricted to the conformal submanifolds...
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)109 |
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| author | Andreas Karch Hirosi Ooguri Mianqi Wang |
| author_facet | Andreas Karch Hirosi Ooguri Mianqi Wang |
| author_sort | Andreas Karch |
| collection | DOAJ |
| description | Abstract We derive a formula for the half-BPS interface entropy between any pair of N $$ \mathcal{N} $$ = (4, 4) theories on the same conformal manifold. This generalizes the diastasis formula derived in [1] for N $$ \mathcal{N} $$ = (2, 2) theories, which is restricted to the conformal submanifolds generated by either chiral or twisted chiral multiples of N $$ \mathcal{N} $$ = (2, 2) supersymmetry. To derive the N $$ \mathcal{N} $$ = (4, 4) formula, we use the fact that the conformal manifold of N $$ \mathcal{N} $$ = (4, 4) theories is symmetric and quaternionic-Kähler and that its isotropy group contains the SU(2) ⊗ SU(2) external automorphism of the N $$ \mathcal{N} $$ = (4, 4) superconformal algebra. As an application of the formula, we prove a supersymmetric non-renormalization theorem, which explains the observation in [2] that the interface entropy for half-BPS Janus solutions in type IIB supergravity on AdS 3 × S 3 × T 4 coincides with the corresponding quantity in their free conformal field limits. |
| format | Article |
| id | doaj-art-8d58131e674b42db9cbf620eb5630cd8 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8d58131e674b42db9cbf620eb5630cd82025-08-20T03:04:12ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025711010.1007/JHEP07(2025)109Nonrenormalization theorem for N $$ \mathcal{N} $$ = (4, 4) interface entropyAndreas Karch0Hirosi Ooguri1Mianqi Wang2Theory Group, Weinberg Institute, Department of Physics, University of TexasWalter Burke Institute for Theoretical Physics, California Institute of TechnologyTheory Group, Weinberg Institute, Department of Physics, University of TexasAbstract We derive a formula for the half-BPS interface entropy between any pair of N $$ \mathcal{N} $$ = (4, 4) theories on the same conformal manifold. This generalizes the diastasis formula derived in [1] for N $$ \mathcal{N} $$ = (2, 2) theories, which is restricted to the conformal submanifolds generated by either chiral or twisted chiral multiples of N $$ \mathcal{N} $$ = (2, 2) supersymmetry. To derive the N $$ \mathcal{N} $$ = (4, 4) formula, we use the fact that the conformal manifold of N $$ \mathcal{N} $$ = (4, 4) theories is symmetric and quaternionic-Kähler and that its isotropy group contains the SU(2) ⊗ SU(2) external automorphism of the N $$ \mathcal{N} $$ = (4, 4) superconformal algebra. As an application of the formula, we prove a supersymmetric non-renormalization theorem, which explains the observation in [2] that the interface entropy for half-BPS Janus solutions in type IIB supergravity on AdS 3 × S 3 × T 4 coincides with the corresponding quantity in their free conformal field limits.https://doi.org/10.1007/JHEP07(2025)109AdS-CFT CorrespondenceConformal Field Models in String TheoryExtended Supersymmetry |
| spellingShingle | Andreas Karch Hirosi Ooguri Mianqi Wang Nonrenormalization theorem for N $$ \mathcal{N} $$ = (4, 4) interface entropy Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Models in String Theory Extended Supersymmetry |
| title | Nonrenormalization theorem for N $$ \mathcal{N} $$ = (4, 4) interface entropy |
| title_full | Nonrenormalization theorem for N $$ \mathcal{N} $$ = (4, 4) interface entropy |
| title_fullStr | Nonrenormalization theorem for N $$ \mathcal{N} $$ = (4, 4) interface entropy |
| title_full_unstemmed | Nonrenormalization theorem for N $$ \mathcal{N} $$ = (4, 4) interface entropy |
| title_short | Nonrenormalization theorem for N $$ \mathcal{N} $$ = (4, 4) interface entropy |
| title_sort | nonrenormalization theorem for n mathcal n 4 4 interface entropy |
| topic | AdS-CFT Correspondence Conformal Field Models in String Theory Extended Supersymmetry |
| url | https://doi.org/10.1007/JHEP07(2025)109 |
| work_keys_str_mv | AT andreaskarch nonrenormalizationtheoremfornmathcaln44interfaceentropy AT hirosiooguri nonrenormalizationtheoremfornmathcaln44interfaceentropy AT mianqiwang nonrenormalizationtheoremfornmathcaln44interfaceentropy |