EFT and the SUSY index on the 2nd sheet
The counting of BPS states in four-dimensional ${\cal N}=1$ theories has attracted a lot of attention in recent years. For superconformal theories, these states are in one-to-one correspondence with local operators in various short representations. The generating function for this counting proble...
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| Format: | Article |
| Language: | English |
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SciPost
2021-07-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.11.1.004 |
| _version_ | 1818437620241268736 |
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| author | Davide Cassani, Zohar Komargodski |
| author_facet | Davide Cassani, Zohar Komargodski |
| author_sort | Davide Cassani, Zohar Komargodski |
| collection | DOAJ |
| description | The counting of BPS states in four-dimensional ${\cal N}=1$ theories has
attracted a lot of attention in recent years. For superconformal theories,
these states are in one-to-one correspondence with local operators in various
short representations. The generating function for this counting problem has
branch cuts and hence several Cardy-like limits, which are analogous to
high-temperature limits. Particularly interesting is the second sheet, which
has been shown to capture the microstates and phases of supersymmetric black
holes in AdS$_5$. Here we present a 3d Effective Field Theory (EFT) approach to
the high-temperature limit on the second sheet. We use the EFT to derive the
behavior of the index at orders $\beta^{-2},\beta^{-1},\beta^0$. We also make a
conjecture for $O(\beta)$, where we argue that the expansion truncates up to
exponentially small corrections. An important point is the existence of vector
multiplet zero modes, unaccompanied by massless matter fields. The runaway of
Affleck-Harvey-Witten is however avoided by a non-perturbative confinement
mechanism. This confinement mechanism guarantees that our results are robust. |
| first_indexed | 2024-12-14T17:27:34Z |
| format | Article |
| id | doaj.art-f324b741e85e4a4ba06324f8412a33e4 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-14T17:27:34Z |
| publishDate | 2021-07-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-f324b741e85e4a4ba06324f8412a33e42022-12-21T22:53:11ZengSciPostSciPost Physics2542-46532021-07-0111100410.21468/SciPostPhys.11.1.004EFT and the SUSY index on the 2nd sheetDavide Cassani, Zohar KomargodskiThe counting of BPS states in four-dimensional ${\cal N}=1$ theories has attracted a lot of attention in recent years. For superconformal theories, these states are in one-to-one correspondence with local operators in various short representations. The generating function for this counting problem has branch cuts and hence several Cardy-like limits, which are analogous to high-temperature limits. Particularly interesting is the second sheet, which has been shown to capture the microstates and phases of supersymmetric black holes in AdS$_5$. Here we present a 3d Effective Field Theory (EFT) approach to the high-temperature limit on the second sheet. We use the EFT to derive the behavior of the index at orders $\beta^{-2},\beta^{-1},\beta^0$. We also make a conjecture for $O(\beta)$, where we argue that the expansion truncates up to exponentially small corrections. An important point is the existence of vector multiplet zero modes, unaccompanied by massless matter fields. The runaway of Affleck-Harvey-Witten is however avoided by a non-perturbative confinement mechanism. This confinement mechanism guarantees that our results are robust.https://scipost.org/SciPostPhys.11.1.004 |
| spellingShingle | Davide Cassani, Zohar Komargodski EFT and the SUSY index on the 2nd sheet SciPost Physics |
| title | EFT and the SUSY index on the 2nd sheet |
| title_full | EFT and the SUSY index on the 2nd sheet |
| title_fullStr | EFT and the SUSY index on the 2nd sheet |
| title_full_unstemmed | EFT and the SUSY index on the 2nd sheet |
| title_short | EFT and the SUSY index on the 2nd sheet |
| title_sort | eft and the susy index on the 2nd sheet |
| url | https://scipost.org/SciPostPhys.11.1.004 |
| work_keys_str_mv | AT davidecassanizoharkomargodski eftandthesusyindexonthe2ndsheet |