The two ∇$^{6}$ R$^{4}$ type invariants and their higher order generalisation - INSPIRE

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The two ∇ $^{6}$ R $^{4}$ type invariants and their higher order generalisation

Mar 13, 2015

54 pages

Published in:

JHEP 07 (2015) 154

Published: Jul 29, 2015

e-Print:

1503.04230 [hep-th]

DOI:

10.1007/JHEP07(2015)154

View in:

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Abstract: (Springer)

We show that there are two distinct classes of ∇

^{6}

R

^{4}

type supersymmetry invariants in maximal supergravity. The second class includes a coupling in F

^{2}

∇

^{4}

R

^{4}

that generalises to 1/8 BPS protected F^{2}^{k} ∇

^{4}

R

^{4}

couplings. We work out the supersymmetry constraints on the corresponding threshold functions, and argue that the functions in the second class satisfy to homogeneous differential equations for arbitrary k ≥ 1, such that the corresponding exact threshold functions in type II string theory should be proportional to Eisenstein series, which we identify. This analysis explains in particular that the exact ∇

^{6}

R

^{4}

threshold function is the sum of an Eisenstein function and a solution to an inhomogeneous Poisson equation in string theory.

Note:

53 pages

Extended Supersymmetry
Nonperturbative Effects
Supergravity Models
Supersymmetric Effective Theories
supersymmetry: constraint
string model: Type II
differential equations
Poisson equation
supergravity
higher-order

References(53)

Figures(0)

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