Charting the Conformal Manifold of Holographic Two-Dimensional Conformal Field Theories

Kernekoncepter

This paper explores the landscape of connected AdS3 solutions in type IIB and heterotic supergravities, revealing a 17-parameter family of solutions that includes TsT deformations and Wilson loops, and discusses their properties, stability, and holographic interpretations.

Resumé

Bibliographic Information:

Eloy, C., & Larios, G. (2024, November 12). Charting the Conformal Manifold of Holographic CFT2’s. arXiv:2405.17542v2 [hep-th].

Research Objective:

This paper aims to explore the landscape of continuously connected AdS3 solutions in type IIB and heterotic supergravities, focusing on the near-horizon limit of NS5-F1 branes and their relation to D1-D5 configurations through S-duality.

Methodology:

The authors utilize the framework of Exceptional Field Theory (ExFT) to construct and analyze new continuous families of AdS3 solutions. They employ consistent truncations to three-dimensional gauged supergravity and exploit the U-duality symmetry to study deformations, compute Kaluza-Klein spectra, and assess the stability of the solutions.

Key Findings:

• The authors identify a 17-parameter family of AdS3 solutions, encompassing TsT deformations and Wilson loop configurations.
• These solutions are shown to be purely NSNS, allowing for a worldsheet description and interpretation as J ¯J deformations.
• The Kaluza-Klein spectra of the deformed solutions are analyzed, revealing potential supersymmetry enhancements and insights into the stability of non-supersymmetric subfamilies.

Main Conclusions:

The study significantly expands the understanding of the conformal manifold of AdS3 solutions in string/M-theory. The discovered 17-parameter family provides a rich landscape of solutions with potential holographic duals, opening avenues for further investigation into the AdS3/CFT2 correspondence.

Significance:

This research contributes significantly to the field of string theory and the AdS/CFT correspondence. The identification of new AdS3 solutions and their properties provides valuable insights into the space of possible holographic duals and the dynamics of string theory in these backgrounds.

Limitations and Future Research:

The study primarily focuses on the supergravity regime. Further research could explore quantum corrections and the behavior of these solutions beyond the supergravity approximation. Additionally, investigating the precise holographic duals of these solutions and their properties would be a fruitful avenue for future work.

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Charting the Conformal Manifold of Holographic CFT$_2$'s

by Camille Eloy... kl. arxiv.org 11-13-2024

https://arxiv.org/pdf/2405.17542.pdf

Dybere Forespørgsler

How do these findings impact our understanding of the relationship between quantum field theories and gravity in lower dimensions?

This work significantly enhances our understanding of the AdS/CFT correspondence in lower dimensions, particularly for AdS3/CFT2, by exploring the landscape of interconnected AdS3 solutions in type IIB and heterotic supergravities. Here's how:

Enlarging the Conformal Manifold: The construction of a 17-parameter family of AdS3 solutions, including TsT deformations and Wilson loop fibrations, reveals a rich and extensive conformal manifold in these theories. This implies a vast landscape of interconnected two-dimensional conformal field theories related by marginal deformations.

Unveiling Hidden Structures: The use of Exceptional Field Theory (ExFT) and consistent truncations provides a powerful framework to study these solutions. This approach allows for the identification of hidden symmetries and relationships between different solutions, offering a deeper understanding of the underlying structure of the AdS3/CFT2 correspondence.

Supersymmetry Breaking and Stability: The study analyzes the stability of these solutions, particularly those breaking supersymmetry. While supersymmetry is generally expected for stability, this work explores the possibility of stable non-supersymmetric AdS3 configurations, challenging conventional assumptions and opening new avenues for investigation.

Worldsheet Description and Holographic Duals: The purely NSNS nature of the deformed solutions allows for a worldsheet interpretation, revealing the presence of J ¯J operators. This connection provides valuable insights into the holographic dual CFTs, suggesting they can be understood as deformations of known worldsheet models.
Overall, this work pushes the boundaries of our knowledge about the AdS3/CFT2 correspondence, highlighting the intricate relationship between gravity and quantum field theories in lower dimensions. It reveals a vast and interconnected landscape of AdS3 solutions, provides powerful tools for their study, and challenges existing notions about supersymmetry and stability in AdS/CFT.

Could there be alternative methods, beyond the supergravity approximation, to study the stability of these solutions and reveal potentially stable non-supersymmetric AdS configurations?

Yes, exploring beyond the supergravity approximation is crucial to fully understand the stability of these solutions, especially the non-supersymmetric ones. Here are some alternative methods:

String Worldsheet Techniques: Since the solutions are purely NSNS, one could employ worldsheet CFT techniques to study their stability. This involves analyzing the spectrum of string excitations around the deformed backgrounds and looking for tachyons, which signal instability. Worldsheet methods can capture stringy effects not visible in the supergravity limit.

Higher-Derivative Corrections: Including higher-derivative corrections to the supergravity action can reveal instabilities hidden at the two-derivative level. These corrections become increasingly important as we move away from the supergravity limit and can significantly impact the stability analysis.

Non-Perturbative Effects: Non-perturbative effects, such as brane instantons, can also play a role in stabilizing or destabilizing AdS solutions. These effects are challenging to study but can be crucial for a complete understanding of stability, especially in non-supersymmetric cases.

Numerical Methods: For complex solutions, numerical methods like lattice simulations can provide valuable insights into their stability. These techniques involve discretizing the spacetime and solving the equations of motion numerically, allowing for the study of solutions beyond analytical tractability.

Dual CFT Analysis: If a holographic dual CFT is known or conjectured, analyzing its properties can provide indirect evidence for the stability of the corresponding AdS solution. For instance, the presence of pathologies in the CFT, such as unitarity violations, might indicate an instability in the gravity dual.
By combining these approaches, we can gain a more comprehensive understanding of the stability of these AdS3 solutions and potentially uncover stable non-supersymmetric configurations, significantly impacting our understanding of AdS/CFT and quantum gravity.

What are the implications of these findings for the development of new holographic dualities and their applications in condensed matter physics or other areas of theoretical physics?

The findings presented have several exciting implications for holographic dualities and their applications:

New Holographic Dualities: The discovery of a large conformal manifold of AdS3 solutions suggests the existence of a correspondingly rich landscape of dual 2d CFTs. This opens avenues for constructing new holographic dualities, potentially describing exotic strongly coupled CFTs with applications in condensed matter physics.

Understanding Strongly Coupled Systems: The AdS/CFT correspondence provides a powerful tool to study strongly coupled quantum field theories, which are often intractable using traditional methods. The new AdS3 solutions and their potential dual CFTs offer new testing grounds for the correspondence and could shed light on the behavior of strongly coupled systems relevant to condensed matter physics, such as non-Fermi liquids and high-Tc superconductors.

Quantum Information Theory: AdS3/CFT2 has deep connections to quantum information theory, particularly in the context of entanglement entropy and black hole physics. The new solutions and their potential dual CFT descriptions could provide valuable insights into these connections, leading to a deeper understanding of quantum gravity and information theory.

Beyond the Supergravity Limit: The study emphasizes the importance of going beyond the supergravity approximation to fully understand the stability and properties of these solutions. This has broader implications for AdS/CFT, encouraging the development of new techniques and approaches to explore the correspondence in regimes where stringy and quantum effects become significant.

Testable Predictions: The worldsheet description of the deformed solutions allows for testable predictions about the spectrum of string excitations and the properties of the dual CFTs. These predictions can be verified using various methods, including worldsheet CFT techniques and lattice simulations, providing further evidence for the validity of the proposed holographic dualities.
In conclusion, this work not only expands our knowledge of AdS3/CFT2 but also opens exciting new directions for research in holographic dualities and their applications. It paves the way for discovering new dualities, understanding strongly coupled systems, exploring connections to quantum information theory, and pushing the boundaries of AdS/CFT beyond the supergravity limit.