Bibliographic Information: Álvaro Arboleya, Adolfo Guarino, & Matteo Morittu. (2024). Type II orientifold flux vacua in 3D. arXiv preprint arXiv:2408.01403v2.
Research Objective: This paper aims to systematically study type II orientifold flux vacua in three dimensions, focusing on their connection to half-maximal gauged supergravity theories and exploring the landscape of possible vacua.
Methodology: The authors employ the embedding tensor formalism to connect type II orientifold reductions with background fluxes and 3D half-maximal supergravities. They analyze the quadratic constraints imposed by the gauging procedure and utilize group-theoretical arguments to establish a dictionary between string-theoretic quantities and embedding tensor components. The authors then focus on specific invariant sectors of the N=8 3D theory, particularly the SO(3) invariant sector (RSTU-model), to investigate the vacuum structure and properties of the resulting flux vacua.
Key Findings: The research identifies a precise correspondence between single Op-plane orientifold reductions of M-theory/type II strings and 3D half-maximal supergravities. The authors present various multi-parametric families of supersymmetric and non-supersymmetric AdS3 and Mkw3 vacua. Notably, they find that negative masses are absent in the spectrum of scalar fluctuations, indicating the perturbative stability of these vacua within half-maximal supergravity. The paper also provides examples of non-supersymmetric type IIB AdS3 flux vacua exhibiting parametrically-controlled scale separation and integer-valued conformal dimensions of potential dual CFT2 operators.
Main Conclusions: The study demonstrates the richness and potential of type II orientifold flux vacua in three-dimensional supergravity. The absence of negative mass squared terms in the scalar spectrum suggests the perturbative stability of the identified vacua. The findings have implications for the Swampland Program, particularly in the context of testing conjectures related to the nature of gravity and its connection to quantum theory.
Significance: This research contributes significantly to the understanding of string compactifications and the landscape of possible vacua in string theory. The identification of stable AdS3 vacua with scale separation and integer-valued conformal dimensions is particularly relevant for potential holographic applications and the study of the AdS/CFT correspondence.
Limitations and Future Research: The study primarily focuses on half-maximal supergravity theories and specific invariant sectors. Exploring vacua in less supersymmetric contexts and considering more general gaugings could reveal a richer landscape of possibilities. Further investigation into the properties of the identified vacua, such as their stability beyond the perturbative level and their potential holographic duals, would be valuable avenues for future research.
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