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Explores equivalent descriptions of quantum systems related through strong-weak coupling transformations.
This frontier investigates extensions of S-duality in gauge theories when non-perturbative effects break the classical symmetry assumptions underlying the Montonen-Olive conjecture. Understanding how dualities persist or transform under quantum corrections could reveal new mathematical structures in strongly-coupled theories.
This research explores whether categorical and higher-categorical structures provide a unified framework for understanding AdS/CFT beyond classical correspondence, potentially capturing quantum corrections and non-local phenomena missed by traditional dualities.
This frontier addresses the gap between rational CFTs where modular bootstrap is well-understood and non-rational theories where consistency with crossing symmetry and modular invariance remains incompletely characterized, particularly for theories with continuous symmetries.
This research investigates how apparent dualities between different low-dimensional quantum field theories arise from infrared fixed points and topological symmetries that are invisible in ultraviolet descriptions, with implications for understanding renormalization group flows.
This frontier explores extensions of string theory T-duality to topological field theory contexts, particularly investigating how generalized symmetries (categorical, non-invertible, higher-form) replace point-particle symmetries in dual descriptions.
This research examines whether non-invertible dualities (where the map between dual theories is not bijective) admit consistent anomaly-matching conditions beyond the traditional invertible symmetry framework, and what physical consequences follow.
This frontier investigates whether twist deformations of quantum field theories preserve certain duality structures in a holomorphic sense, and how holomorphic factorization relates to dualities in deformed theories with broken Lorentz invariance.
This research explores whether global topological properties of the duality web—the network of theories connected by dualities—impose universal constraints on effective field theories, complementing swampland conjectures from a consistency perspective.