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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2025)109 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |