Topologically charged BPS microstates in AdS3/CFT2
Abstract In the standard N $$ \mathcal{N} $$ = (4, 4) AdS3/CFT2 with sym N (T 4), as well as the N $$ \mathcal{N} $$ = (2, 2) Datta-Eberhardt-Gaberdiel variant with sym N (T 4/ℤ 2), supersymmetric index techniques have not been applied so far to the CFT states with target-space momentum or winding....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2025)069 |
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| Summary: | Abstract In the standard N $$ \mathcal{N} $$ = (4, 4) AdS3/CFT2 with sym N (T 4), as well as the N $$ \mathcal{N} $$ = (2, 2) Datta-Eberhardt-Gaberdiel variant with sym N (T 4/ℤ 2), supersymmetric index techniques have not been applied so far to the CFT states with target-space momentum or winding. We clarify that the difficulty lies in a central extension of the SUSY algebra in the momentum and winding sectors, analogous to the central extension on the Coulomb branch of 4d N $$ \mathcal{N} $$ = 2 gauge theories. We define modified helicity-trace indices tailored to the momentum and winding sectors, and use them for microstate counting of the corresponding bulk black holes. In the N $$ \mathcal{N} $$ = (4, 4) case we reproduce the microstate matching of Larsen and Martinec. In the N $$ \mathcal{N} $$ = (2, 2) case we resolve a previous mismatch with the Bekenstein-Hawking formula encountered in the topologically trivial sector by going to certain winding sectors. |
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| ISSN: | 1029-8479 |