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Partition functions of non-Lagrangian theories from the holomorphic anomaly
The computation of the partition function in certain quantum field theories, such as those of the Argyres-Douglas or Minahan-Nemeschansky type, is...
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Regularized Integrals on Elliptic Curves and Holomorphic Anomaly Equations
We derive residue formulas for the regularized integrals (introduced by Li and Zhou in Commun Math Phys 388:1403–1474, 2021) on configuration spaces...
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Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an...
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Holomorphic anomalies, fourfolds and fluxes
We investigate holomorphic anomalies of partition functions underlying string compactifications on Calabi-Yau fourfolds with background fluxes. For...
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Gopakumar–Vafa Type Invariants of Holomorphic Symplectic 4-Folds
Using reduced Gromov–Witten theory, we define new invariants which capture the enumerative geometry of curves on holomorphic symplectic 4-folds. The...
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Superconformal Algebras and Holomorphic Field Theories
We show that four-dimensional superconformal algebras admit an infinite-dimensional derived enhancement after performing a holomorphic twist. The...
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Holomorphic CFTs and Topological Modular Forms
We use the theory of topological modular forms to constrain bosonic holomorphic CFTs, which can be viewed as (0, 1) SCFTs with trivial right-moving...
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Conformal quantum mechanics, holomorphic factorisation, and ultra-spinning black holes
We study a limit in which a relativistic CFT reduces to conformal quantum mechanics, and relate the partition functions of the two theories. When the...
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The 4d/2d correspondence in twistor space and holomorphic Wilson lines
We give an explicit realization of the 4d local operator / 2d conformal block correspondence of Costello and Paquette in the case of gauge theories....
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Feynman diagrams in four-dimensional holomorphic theories and the Operatope
We study a class of universal Feynman integrals which appear in four-dimensional holomorphic theories. We recast the integrals as the Fourier...
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D=5 holomorphic Chern-Simons and the pure spinor superstring
The physical states of D=5 holomorphic Chern-Simons theory correspond to on-shell D=10 open superstring states in the cohomology of q + , where q + is...
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Anomaly matching across dimensions and supersymmetric Cardy formulae
’t Hooft anomalies are known to induce specific contributions to the effective action at finite temperature. We present a general method to directly...
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Anomaly and double copy in quantum self-dual Yang-Mills and gravity
Recent works have explored how scattering amplitudes in quantum self-dual Yang-Mills theory and self-dual gravity can be interpreted as resulting...
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Anomaly constraints for heterotic strings and supergravity in six dimensions
The landscape of six-dimensional supergravities is dramatically constrained by the cancellation of gauge and gravitational anomalies, but the full...
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Mixed modulus and anomaly mediation in light of the muon g − 2 anomaly
The new measurement of the anomalous magnetic moment of muon at the Fermilab Muon g − 2 experiment has strengthened the significance of the...
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Quantizing the Non-linear Graviton
We consider holomorphic Poisson-BF theory on twistor space. Classically, this describes self-dual Einstein gravity on space-time, but at the quantum...
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On the associativity of 1-loop corrections to the celestial operator product in gravity
The question of whether the holomorphic collinear singularities of graviton amplitudes define a consistent chiral algebra has garnered much recent...
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Anomaly enforced gaplessness for background flux anomalies and symmetry fractionalization
Anomalous symmetries are known to strongly constrain the possible IR behavior along any renormalization group (RG) flow. Recently, the extension of...
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Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
We study the large N ’t Hooft expansion of the chiral partition function of 2d U( N ) Yang-Mills theory on a torus. There is a long-standing puzzle...