Consistency of eight-dimensional supergravities: anomalies, lattices and counterterms

Surfaces and higher-dimensional varieties (14Jxx) Quantum field theory; related classical field theories (81Txx) Discontinuous groups and automorphic forms (11Fxx)

Cites Work

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Abelianisation of orthogonal groups and the fundamental group of modular varieties
On compact, locally symmetric Kähler manifolds
The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
Automorphic forms with singularities on Grassmannians
Erzeugung ganzzahliger orthogonaler Gruppen durch Spiegelungen
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An \(\text{SL}(2,{\mathbb{Z}})\) anomaly in IIB supergravity and its F-theory interpretation
Heterotic/type-I duality in \(D<10\) dimensions, threshold corrections and D-instantons
Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
Discrete anomalies in supergravity and consistency of string backgrounds
8d gauge anomalies and the topological Green-Schwarz mechanism
Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
Algebras, BPS states, and strings
Evidence for heterotic/heterotic duality
The moduli space of Enriques surfaces and the fake monster Lie superalgebra
Exploring the landscape of CHL strings on \(T^d\)
Cobordism conjecture, anomalies, and the String Lamppost Principle
8d supergravity, reconstruction of internal geometry and the Swampland
Anomalies as obstructions: from dimensional lifts to swampland
Higher pullbacks of modular forms on orthogonal groups
The ring of modular forms for the even unimodular lattice of signature (2,18)
On the classification of automorphic products and generalized Kac-Moody algebras
Automorphic products of singular weight for simple lattices
New supersymmetric string theories from discrete theta angles
New supersymmetric string moduli spaces from frozen singularities
Classification of extremal elliptic \(K3\) surfaces and fundamental groups of open \(K3\) surfaces
Some constructions of modular forms for the Weil representation of \(\mathrm{SL}_2(\mathbb Z)\)
Moduli of Polarized Enriques Surfaces
Integral Orthogonal Groups
Entirety of cuspidal Eisenstein series on loop groups
The moduli space of Enriques surfaces and Borcherds products
Convex cones, Jordan algebras and the geometry of d=9 Maxwell-Einstein supergravity
INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
Maximally Supersymmetric String Theories in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">D</mml:mi><mml:mi /><mml:mo><</mml:mo><mml:mi /><mml:mn>10</mml:mn></mml:math>
Reflective Modular Forms: A Jacobi Forms Approach
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The anomaly that was not meant IIB
2-Reflective Lattices of Signature (n, 2) with n ≥ 8
The classification of 2-reflective modular forms