Chiral closed strings: four massless states scattering amplitude

Abstract

Abstract:We compute the scattering amplitudes of four massless states for chiral (closed) bosonic and type II superstrings using the Kawai-Lewellen-Tye (KLT ) factorization method. The amplitude in the chiral bosonic case is identical to a field theory amplitude corresponding to the spin-2 tachyon, massless gravitational sector and massive spin-2 tardyon states of the spectrum. Chiral type II superstrings amplitude only possess poles associated with the massless gravitational sector. We briefly discuss the extension of the calculation to heterotic superstrings.

Chiral strings, the sectorized description and their integrated vertex operators

“…The cohomology will be reviewed with a subsequent evaluation of all tree-level 3-point amplitudes and the 4-point amplitudes with massless external states. The latter is in agreement with the results of [23].…”

Scattering Amplitudes from Intersection Theory

“…Every twisted cocycle has a corresponding cycle, whose boundaries coincide with logarithmic singularities of the former. For instance, Parke-Taylor forms (20) map to associahedra tiling the moduli space [10,27]. Intersection numbers of both cycles and cocycles can then be described using adjacency properties of the associahedra [10,28], or their linear combinations [29][30][31][32].…”

“…give amplitudes of Einstein gravity, Yang-Mills theory, and bi-adjoint scalar respectively. In this case, equation (18) reduces to the so-called chiral KLT relation [9,19,20], and τ , which is a rescaling parameter of the Mandelstam invariants, can be identified with the inverse string tension α . In particular, this proves the following two statements:…”

Second order higher-derivative corrections in Double Field Theory

“…To achieve this purpose, the massive modes in HSZ theory must be integrated out, ending with a low-energy effective theory for the generalized metric H M N and generalized dilaton d that contains an infinite series of higher-derivative terms [20][21][22][23]. It is then of interest to elucidate what these corrections look like in terms of the standard gauge covariant massless fields, namely the metric g µν , two-form B µν and dilaton φ, in a manifestly diffeomorphism and gauge invariant form expanded in powers of α ′ .…”