A bordism computation for K(Z,3) produces two new anomaly classes for U(1) 1-form symmetries: a mixed H₃∧p₁ anomaly in 5d and a Z₂-valued uSq²u anomaly in 7d.
Anomalies in String Theory with D-Branes
9 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We analyze global anomalies for elementary Type II strings in the presence of D-branes. Global anomaly cancellation gives a restriction on the D-brane topology. This restriction makes possible the interpretation of D-brane charge as an element of K-theory.
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hep-th 9representative citing papers
Explicit construction of a chiral global embedding of Fibre Inflation with anti-D3 uplift on an h^{1,1}=4 K3-fibered Calabi-Yau, using magnetised D7-branes, a Whitney brane, and O3-planes at a conifold tip, with viable parameter regions identified.
GSO projection consistency in Type II string theory requires the target space X to admit a spin structure (or G-equivariant spin structure for orbifolds), identified by computing the mixed bordism group Ω₃^spin(Bℤ₂ × X) and classifying corresponding theta angles.
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
A perturbative stabilization mechanism in the Large Volume Scenario for K3-fibered Calabi-Yau threefolds generates exponentially large 2D base volumes while keeping the 4D fibre small, enabling ADD or Dark Dimension limits with possible dS or quintessence vacua.
Constructs Čech-de Rham bicomplex from gerbe data for BV-BRST complex and anomaly descent of U(1) 1-form symmetries in Maxwell theory.
Type IIA orientifold model with D6-branes stabilizes moduli via STU and KL, predicts axion-neutralino dark matter, and uses four-form flux to address strong CP problem.
Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).
Assisted multi-fibre inflation distributes the required field range across several moduli in global CY orientifolds, overcoming single-field Kähler cone obstructions to realize viable inflation.
citing papers explorer
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On Quantum Aspects of 1-Form Symmetries II: Bordism, Invertible Phases, and Anomalies
A bordism computation for K(Z,3) produces two new anomaly classes for U(1) 1-form symmetries: a mixed H₃∧p₁ anomaly in 5d and a Z₂-valued uSq²u anomaly in 7d.
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Chiral global embedding of Fibre Inflation with $\overline{\rm D3}$ uplift
Explicit construction of a chiral global embedding of Fibre Inflation with anti-D3 uplift on an h^{1,1}=4 K3-fibered Calabi-Yau, using magnetised D7-branes, a Whitney brane, and O3-planes at a conifold tip, with viable parameter regions identified.
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What makes spacetime spin in string theory?
GSO projection consistency in Type II string theory requires the target space X to admit a spin structure (or G-equivariant spin structure for orbifolds), identified by computing the mixed bordism group Ω₃^spin(Bℤ₂ × X) and classifying corresponding theta angles.
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Anomalies in family unification models from bordism classification
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
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Moduli Stabilisation for ADD and the Dark Dimension Scenario
A perturbative stabilization mechanism in the Large Volume Scenario for K3-fibered Calabi-Yau threefolds generates exponentially large 2D base volumes while keeping the 4D fibre small, enabling ADD or Dark Dimension limits with possible dS or quintessence vacua.
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On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomials
Constructs Čech-de Rham bicomplex from gerbe data for BV-BRST complex and anomaly descent of U(1) 1-form symmetries in Maxwell theory.
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Dark Matter and Strong CP Problem in Type IIA String Theory
Type IIA orientifold model with D6-branes stabilizes moduli via STU and KL, predicts axion-neutralino dark matter, and uses four-form flux to address strong CP problem.
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Assisted Fibre Inflation in Perturbative LVS
Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).
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On Global Embedding of Assisted Fibre Inflation
Assisted multi-fibre inflation distributes the required field range across several moduli in global CY orientifolds, overcoming single-field Kähler cone obstructions to realize viable inflation.