New exotic operators appear on Wilson lines in general representations; their dimension-one superprimaries produce marginally relevant deformations of half-BPS defects in N=4 SYM, supported by a general weak-coupling four-point function.
Exactly Marginal Deformations and Global Symmetries
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abstract
We study the problem of finding exactly marginal deformations of N=1 superconformal field theories in four dimensions. We find that the only way a marginal chiral operator can become not exactly marginal is for it to combine with a conserved current multiplet. Additionally, we find that the space of exactly marginal deformations, also called the "conformal manifold," is the quotient of the space of marginal couplings by the complexified continuous global symmetry group. This fact explains why exactly marginal deformations are ubiquitous in N=1 theories. Our method turns the problem of enumerating exactly marginal operators into a problem in group theory, and substantially extends and simplifies the previous analysis by Leigh and Strassler. We also briefly discuss how to apply our analysis to N=2 theories in three dimensions.
fields
hep-th 3years
2026 3representative citing papers
Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.
Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.
citing papers explorer
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New Exotic Operators in the Spectrum of Wilson Lines in General Representations
New exotic operators appear on Wilson lines in general representations; their dimension-one superprimaries produce marginally relevant deformations of half-BPS defects in N=4 SYM, supported by a general weak-coupling four-point function.
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Complex Conformal Manifolds
Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.
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Controlled Chaos in 4D SCFTs
Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.