Siegel modular flavor group and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">CP</mml:mi></mml:math> from string theory
Alexander Baur, Moritz Kade, Hans Peter Nilles, Saúl Ramos–Sánchez, Patrick K. S. Vaudrevange
Abstract
We derive the potential modular symmetries of heterotic string theory. For a toroidal compactification with Wilson line modulus, we obtain the Siegel modular group Sp(4,Z) that includes the modular symmetries SL(2,Z)T and SL(2,Z)U (of the “geometric” moduli T and U) as well as mirror symmetry. In addition, string theory provides a candidate for a CP -like symmetry that enhances the Siegel modular group to GSp(4,Z).
Topics & Concepts
PhysicsCompactification (mathematics)Homogeneous spaceString theoryModuli spaceGroup (periodic table)Modular groupGrand Unified TheoryMathematical physicsSymmetry groupCombinatoricsSupersymmetryGeometryPure mathematicsQuantum mechanicsMathematicsAdvanced Algebra and GeometryBlack Holes and Theoretical PhysicsAdvanced NMR Techniques and Applications