Gravitational index of the heterotic string
Abstract The fundamental heterotic string has a tower of BPS states whose supersymmetric index has an exponential growth in the charges. We construct the saddle-point of the gravitational path integral corresponding to this index. The saddle-point configuration is a supersymmetric rotating non-extre...
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2024-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2024)041 |
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| author | Yiming Chen Sameer Murthy Gustavo J. Turiaci |
| author_facet | Yiming Chen Sameer Murthy Gustavo J. Turiaci |
| author_sort | Yiming Chen |
| collection | DOAJ |
| description | Abstract The fundamental heterotic string has a tower of BPS states whose supersymmetric index has an exponential growth in the charges. We construct the saddle-point of the gravitational path integral corresponding to this index. The saddle-point configuration is a supersymmetric rotating non-extremal Euclidean black hole. This configuration is singular in the two-derivative theory. We show that the addition of higher-derivative terms in four-dimensional N $$ \mathcal{N} $$ = 2 supergravity resolves the singularity. In doing so, we extend the recently-developed “new attractor mechanism” to include the effect of higher-derivative terms. Remarkably, the one-loop, four-derivative F-term contribution to the prepotential leads to a precise match of the gravitational and microscopic index. We also comment, using the effective theory near the horizon, on the possibility of a string-size near-extremal black hole. Our results clarify the meaning of different descriptions of this system in the literature. The thermal state transitions to a winding condensate and a gas of strings without ever reaching a small black hole, while the index is captured by the rotating Euclidean black hole solution and is constant and thus smoothly connected to the microscopic ensemble. |
| format | Article |
| id | doaj-art-aa65239c7212414b97a56d5070b9d3f1 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-aa65239c7212414b97a56d5070b9d3f12024-12-08T12:16:44ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024914410.1007/JHEP09(2024)041Gravitational index of the heterotic stringYiming Chen0Sameer Murthy1Gustavo J. Turiaci2Stanford Institute for Theoretical Physics, Stanford UniversityDepartment of Mathematics, King’s College LondonPhysics Department, University of WashingtonAbstract The fundamental heterotic string has a tower of BPS states whose supersymmetric index has an exponential growth in the charges. We construct the saddle-point of the gravitational path integral corresponding to this index. The saddle-point configuration is a supersymmetric rotating non-extremal Euclidean black hole. This configuration is singular in the two-derivative theory. We show that the addition of higher-derivative terms in four-dimensional N $$ \mathcal{N} $$ = 2 supergravity resolves the singularity. In doing so, we extend the recently-developed “new attractor mechanism” to include the effect of higher-derivative terms. Remarkably, the one-loop, four-derivative F-term contribution to the prepotential leads to a precise match of the gravitational and microscopic index. We also comment, using the effective theory near the horizon, on the possibility of a string-size near-extremal black hole. Our results clarify the meaning of different descriptions of this system in the literature. The thermal state transitions to a winding condensate and a gas of strings without ever reaching a small black hole, while the index is captured by the rotating Euclidean black hole solution and is constant and thus smoothly connected to the microscopic ensemble.https://doi.org/10.1007/JHEP09(2024)041Black Holes in String TheorySupergravity Models |
| spellingShingle | Yiming Chen Sameer Murthy Gustavo J. Turiaci Gravitational index of the heterotic string Journal of High Energy Physics Black Holes in String Theory Supergravity Models |
| title | Gravitational index of the heterotic string |
| title_full | Gravitational index of the heterotic string |
| title_fullStr | Gravitational index of the heterotic string |
| title_full_unstemmed | Gravitational index of the heterotic string |
| title_short | Gravitational index of the heterotic string |
| title_sort | gravitational index of the heterotic string |
| topic | Black Holes in String Theory Supergravity Models |
| url | https://doi.org/10.1007/JHEP09(2024)041 |
| work_keys_str_mv | AT yimingchen gravitationalindexoftheheteroticstring AT sameermurthy gravitationalindexoftheheteroticstring AT gustavojturiaci gravitationalindexoftheheteroticstring |