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Software for computing conformal block divisors on \(\overline {M}_{0,n}\). (English) Zbl 1403.14005

Summary: We introduce the packages {LieTypes.m2} and {ConformalBlocks.m2} for Macaulay2. {LieTypes.m2} contains basic types for working with Lie algebras and Lie algebra modules. {ConformalBlocks.m2} computes ranks and first Chern classes of vector bundles of conformal blocks on \(\overline{M}_{0,n}\).

MSC:

14-04 Software, source code, etc. for problems pertaining to algebraic geometry
14Q15 Computational aspects of higher-dimensional varieties
14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
14D22 Fine and coarse moduli spaces
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
17B37 Quantum groups (quantized enveloping algebras) and related deformations
17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
14E30 Minimal model program (Mori theory, extremal rays)
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Full Text: DOI

References:

[1] 10.4171/119-1/1 · Zbl 1317.14103 · doi:10.4171/119-1/1
[2] 10.1017/S0013091513000941 · Zbl 1285.14012 · doi:10.1017/S0013091513000941
[3] 10.1093/imrn/rnr064 · Zbl 1271.14034 · doi:10.1093/imrn/rnr064
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[6] 10.1090/conm/564/11148 · doi:10.1090/conm/564/11148
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[8] 10.1090/fim/024 · doi:10.1090/fim/024
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