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Non-Supersymmetric AdS from String Theory
by Zihni Kaan Baykara, Daniel Robbins, Savdeep Sethi
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Zihni Baykara |
| Submission information | |
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| Preprint Link: | scipost_202310_00024v1 (pdf) |
| Code repository: | https://github.com/zkbaykara/Non-SUSY_AdS3 |
| Date accepted: | 2023-10-26 |
| Date submitted: | 2023-10-20 23:00 |
| Submitted by: | Baykara, Zihni |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We construct non-supersymmetric AdS3 solutions of the O(16)xO(16) heterotic string. Most of the backgrounds have a classical worldsheet definition but are quantum string vacua in the sense that string loop corrections change the curvature of spacetime. At one-loop, the change in the cosmological constant is positive but never sufficient to uplift to de Sitter space. By computing the spectrum of spacetime scalars, we show that there are no tachyons below the BF bound. We also show that there is a solution with no spacetime NS-NS flux. This background has no classical string limit. Surprisingly, there appears to be parametric control over these constructions, which provide a framework for exploring quantum gravity and holography without supersymmetry.
Author comments upon resubmission
The referee makes some interesting comments in point 1. They are correct that we could in principle have missed the presence of a warp factor in our analysis in section 2, which used the naïve reduction to three dimensions. A more complete analysis requires looking at the 10D equations of motion, and so this is what we do in section 5. As we point out at the end of section 5.1, we find that the result does agree with the earlier analysis. The interesting question of whether this agreement really reflects some consistent truncation procedure to three dimensions is one that we have not really thought about, since it didn't matter for the calculations in this paper. Another argument for why we don't expect a warp factor in the metric is that if there were deformations that generate a warp factor, they would show up as tachyonic or massless modes in the supergravity analysis. The only such modes that we found are charged under the SU(2)’s of the spheres, and therefore cannot have a linear potential as discussed in the introduction section.
List of changes
1) Following the first referee report, we have amended the summary section at the end of the introduction on page 6 along the lines the referee suggests.
2) We clarified our statement regarding reference [10] along the lines the referee suggested.
3) We thank the referee for the useful reference (Duff, Nilsson, Pope, Phys.Rept. 130 (1986) 1-142) which we have included in the text.
Published as SciPost Phys. 15, 224 (2023)