A construction procedure that induces an abelian orbifold action on the fields and J/E-terms of a parent brane brick model for a toric CY4, yielding explicit orbifolded theories that preserve consistency conditions.
Counting Gauge Invariants: the Plethystic Program
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We propose a programme for systematically counting the single and multi-trace gauge invariant operators of a gauge theory. Key to this is the plethystic function. We expound in detail the power of this plethystic programme for world-volume quiver gauge theories of D-branes probing Calabi-Yau singularities, an illustrative case to which the programme is not limited, though in which a full intimate web of relations between the geometry and the gauge theory manifests herself. We can also use generalisations of Hardy-Ramanujan to compute the entropy of gauge theories from the plethystic exponential. In due course, we also touch upon fascinating connections to Young Tableaux, Hilbert schemes and the MacMahon Conjecture.
citation-role summary
background 1
citation-polarity summary
years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
A group-theoretic construction yields complete form factor bases for scalar, vector, and tensor operators on spin-1/2 to spin-2 particles, with new P and T structures for higher spins and identification of a redundant conserved structure for spin-2 in existing literature.
citing papers explorer
-
Abelian Orbifolds for Brane Brick Models
A construction procedure that induces an abelian orbifold action on the fields and J/E-terms of a parent brane brick model for a toric CY4, yielding explicit orbifolded theories that preserve consistency conditions.
-
Covariant Construction of Generalized Form Factors
A group-theoretic construction yields complete form factor bases for scalar, vector, and tensor operators on spin-1/2 to spin-2 particles, with new P and T structures for higher spins and identification of a redundant conserved structure for spin-2 in existing literature.