Towards an "AdS${}_1/$CFT${}_0$" correspondence from the D$(-1)/$D$7$ system?

Abstract

We argue that a type IIB Euclidean supergravity solution of the form $\mathbb{R}\times S^1\times {\mathbb{T}}^8$ with imaginary self-dual $F_1$ flux through $\mathbb{R}\times S^1$ belongs to the chain of $Ad{S}_d\times S^d\times {\mathbb{T}}^{10-2d}$ vacua with (imaginary) self-dual $F_d$ flux, where $d\le 5$. Such vacua come from the near-horizon of D$(d-2)$/D$(8-d)$ branes and are supersymmetric for odd values of $d$. For $d=1$ we speculate that the hallmark of conformal symmetry for the matrix model dual is a vanishing free energy. The matrix dual was recently constructed by arXiv:2101.01732 by adding matrix interactions coming from strings stretching between the D$(-1)$ and D$7$ branes to the IKKT matrix model. We find that the corresponding supergravity solution indeed has vanishing on-shell action. Specific $F_5$ fluxes need to be switched on as a consequence of (a T-dual version of) the Hanany-Witten effect.

arXiv commentMinor corrections added. Accepted version in JHEP

References in corpus (22)

• A Large-N Reduced Model as Superstring
• Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory
• Harmonic superpositions of M-branes
• New Formulations of D=10 Supersymmetry and D8-O8 Domain Walls
• Instantons and seven-branes in type IIB superstring theory
• T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds
• Microscopic string analysis of the D0-D8 brane system and dual R-R states
• Seven-branes and Supersymmetry
• D3-brane - D-instanton configuration and N=4 super YM theory in constant self-dual background
• F-theory and Dark Energy
• Twin Supergravities from Yang-Mills Squared
• Multiple Intersections of D-branes and M-branes
• The D8-Brane Tied up: String and Brane Solutions in Massive Type IIA Supergravity
• Pseudo-supersymmetry and a Tale of Alternate Realities
• The many faces of OSp(1|32)
• Emergent Cosmology from Matrix Theory
• 1/4 BPS solutions in massive IIA supergravity
• Spherical Branes
• Axion Wormholes in AdS Compactifications
• D0-D8-F1 in Massive IIA SUGRA
• On the D(-1)/D7-brane systems
• Domain Walls and the Creation of Strings

Cited by in corpus (2)

• (Quasi-) de Sitter solutions across dimensions and the TCC bound
• Scaling similarities and quasinormal modes of D0 black hole solutions