Enumerates 244 fortuitous operators in ABJM theory and identifies a truncation matching the BMN subsector of N=4 SYM to lift an infinite tower of representatives.
Multiplets of Superconformal Symmetry in Diverse Dimensions
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We systematically analyze the operator content of unitary superconformal multiplets in $d > 3$ spacetime dimensions. We present a simple, general, and efficient algorithm that generates all of these multiplets by correctly eliminating possible null states. The algorithm is conjectural, but passes a vast web of consistency checks. We apply it to tabulate a large variety of superconformal multiplets. In particular, we classify and construct all multiplets that contain conserved currents or free fields, which play an important role in superconformal field theories (SCFTs). Some currents that are allowed in conformal field theories cannot be embedded in superconformal multiplets, and hence they are absent in SCFTs. We use the structure of superconformal stress tensor multiplets to show that SCFTs with more than 16 Poincar\'e supercharges cannot arise in $d \geq 4$, even when the corresponding superconformal algebras exist. We also show that such theories do arise in $d = 3$, but are necessarily free.
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background 2representative citing papers
A holographic consistency condition derived from large-N factorization requires vanishing cubic couplings for extremal-dimension operators and is non-trivially satisfied in DGKT AdS4 string vacua.
Introduces SU(m,m|2n)-covariant weight-shifting operators in the super-Grassmannian formalism to derive all superconformal blocks from half-BPS ones.
Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.
Finite SUSY GUTs with reduction of couplings exhibit conformal behavior and AMSB-like soft terms without tachyons when connected to a Weyl-invariant supergravity with no-scale Kähler potential.
citing papers explorer
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Two roads to fortuity in ABJM theory
Enumerates 244 fortuitous operators in ABJM theory and identifies a truncation matching the BMN subsector of N=4 SYM to lift an infinite tower of representatives.
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A Holographic Constraint on Scale Separation
A holographic consistency condition derived from large-N factorization requires vanishing cubic couplings for extremal-dimension operators and is non-trivially satisfied in DGKT AdS4 string vacua.
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Superconformal Weight Shifting Operators
Introduces SU(m,m|2n)-covariant weight-shifting operators in the super-Grassmannian formalism to derive all superconformal blocks from half-BPS ones.
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Broken and restored: a holographic constraint for AdS vacua with orbifolds
Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.
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Emergence of conformal properties in Finite Grand Unified Theories via reduction of couplings
Finite SUSY GUTs with reduction of couplings exhibit conformal behavior and AMSB-like soft terms without tachyons when connected to a Weyl-invariant supergravity with no-scale Kähler potential.