Common use of Type IIB supergravity Clause in Contracts

Type IIB supergravity. ‌ Type IIB string theory is a theory of supersymmetric closed oriented strings in 10d. It possesses N = (2, 0) supersymmetry, with two Majorana-Weyl supercharges with the same (positive) chirality. The associated spinors parametrising the supersymme- try variations are also Majorana-Weyl with negative chirality. The supersymmetry algebra admits a U (1)R R-symmetry rotating the two supercharges. The bosonic massless sector of the theory contains: the ▇▇▇▇▇-▇▇▇▇▇▇▇-▇▇▇▇▇- ▇▇▇▇▇▇▇ (NSNS) sector containing a metric g, a scalar field called the dilaton Φ and a two-form B; the ▇▇▇▇▇▇-▇▇▇▇▇▇ (RR) sector containing a scalar known as the axion C(0), a two form potential C(2) and a four form potential C(4) with self- dual field strength. The fermionic sector contains two gravitini, Ψ and a dilatini, λ. Due to the self-duality of the field strength of the four-form potential there is no canonical covariant Lagrangian formulation of the theory. The two scalars of the theory parametrise a scalar manifold, M which must have holonomy containing the U (1)R automorphism group, see for example [6]. Moreover the scalar manifold must be negatively curved and locally isometric to a symmetric manifold, this leaves a single choice for a simply connected manifold, namely the upper-half plane M = SL(2, R)/U (1)R (1.1) equipped with the SL(2, R) invariant metric ds2 = dτ dτ¯ (Im [τ ])2