On supergravity and noncritical strings
Abstract Motivated by the long-term goal of finding holographic descriptions for N $$ \mathcal{N} $$ = 1 and N $$ \mathcal{N} $$ = 2 super QCD, we revisit the subject of “noncritical” superstring theory. Focusing on string models with 6d super Poincaré invariance, we provide a careful worldsheet der...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)117 |
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| author | Andrea Dei Pietro Ferrero Leonardo Rastelli |
| author_facet | Andrea Dei Pietro Ferrero Leonardo Rastelli |
| author_sort | Andrea Dei |
| collection | DOAJ |
| description | Abstract Motivated by the long-term goal of finding holographic descriptions for N $$ \mathcal{N} $$ = 1 and N $$ \mathcal{N} $$ = 2 super QCD, we revisit the subject of “noncritical” superstring theory. Focusing on string models with 6d super Poincaré invariance, we provide a careful worldsheet derivation of the leading-order effective theories for the lowest modes. We identify them as seven-dimensional, maximally supersymmetric gauged supergravities: the SO(4) theory for noncritical IIA and the ISO(4) theory for noncritical IIB. The same theories also arise as consistent truncations on S 3 of the 10d IIB and IIA supergravities, respectively, where the chirality flip is as expected from T-duality. These effective supergravities should be interpreted in the following sense. The noncritical string can be viewed as a special case of a discrete series of backgrounds labelled by an integer k (which counts the number of NS5 branes in a certain duality frame); the “noncritical” value is k = 2, while for k → ∞ one recovers a weakly-curved 10d target space. The effective supergravities described here give an accurate description of the interactions among the lowest modes for k → ∞, with higher derivative corrections suppressed by powers of 1/k. We discuss BPS solutions of the 7d gauged supergravities and their uplift to 10d solutions. In particular, we find a novel class of solutions with RR flux, parametrized by a function of three variables that solves an elegant PDE. While we cannot solve the PDE in closed form except in trivial cases, we confirm that our solutions correspond to a 10d IIA Hanany-Witten setup with continuous distributions of both “color” D4 branes and “flavor” D6 branes. |
| format | Article |
| id | doaj-art-c0d0631a420c49bda224f3206e5593cc |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c0d0631a420c49bda224f3206e5593cc2025-02-09T12:07:08ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025119610.1007/JHEP01(2025)117On supergravity and noncritical stringsAndrea Dei0Pietro Ferrero1Leonardo Rastelli2Kadanoff Center for Theoretical Physics, Enrico Fermi Institute, and Department of Physics, University of ChicagoSimons Center for Geometry and Physics, SUNYC. N. Yang Institute for Theoretical Physics, Stony Brook UniversityAbstract Motivated by the long-term goal of finding holographic descriptions for N $$ \mathcal{N} $$ = 1 and N $$ \mathcal{N} $$ = 2 super QCD, we revisit the subject of “noncritical” superstring theory. Focusing on string models with 6d super Poincaré invariance, we provide a careful worldsheet derivation of the leading-order effective theories for the lowest modes. We identify them as seven-dimensional, maximally supersymmetric gauged supergravities: the SO(4) theory for noncritical IIA and the ISO(4) theory for noncritical IIB. The same theories also arise as consistent truncations on S 3 of the 10d IIB and IIA supergravities, respectively, where the chirality flip is as expected from T-duality. These effective supergravities should be interpreted in the following sense. The noncritical string can be viewed as a special case of a discrete series of backgrounds labelled by an integer k (which counts the number of NS5 branes in a certain duality frame); the “noncritical” value is k = 2, while for k → ∞ one recovers a weakly-curved 10d target space. The effective supergravities described here give an accurate description of the interactions among the lowest modes for k → ∞, with higher derivative corrections suppressed by powers of 1/k. We discuss BPS solutions of the 7d gauged supergravities and their uplift to 10d solutions. In particular, we find a novel class of solutions with RR flux, parametrized by a function of three variables that solves an elegant PDE. While we cannot solve the PDE in closed form except in trivial cases, we confirm that our solutions correspond to a 10d IIA Hanany-Witten setup with continuous distributions of both “color” D4 branes and “flavor” D6 branes.https://doi.org/10.1007/JHEP01(2025)117Extended SupersymmetryGauge-Gravity CorrespondenceSupersymmetric Gauge Theory |
| spellingShingle | Andrea Dei Pietro Ferrero Leonardo Rastelli On supergravity and noncritical strings Journal of High Energy Physics Extended Supersymmetry Gauge-Gravity Correspondence Supersymmetric Gauge Theory |
| title | On supergravity and noncritical strings |
| title_full | On supergravity and noncritical strings |
| title_fullStr | On supergravity and noncritical strings |
| title_full_unstemmed | On supergravity and noncritical strings |
| title_short | On supergravity and noncritical strings |
| title_sort | on supergravity and noncritical strings |
| topic | Extended Supersymmetry Gauge-Gravity Correspondence Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP01(2025)117 |
| work_keys_str_mv | AT andreadei onsupergravityandnoncriticalstrings AT pietroferrero onsupergravityandnoncriticalstrings AT leonardorastelli onsupergravityandnoncriticalstrings |