Relations Between Closed String Amplitudes at Higher-order Tree Level and Open String Amplitudes - High Energy Physics - TheoryReport as inadecuate




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Abstract: KLT relations almost factorize closed string amplitudes on $S 2$ by two openstring tree amplitudes which correspond to the left- and the right- movingsectors. In this paper, we investigate string amplitudes on $D 2$ and $RP 2$.We find that KLT factorization relations do not hold in these two cases. Therelations between closed and open string amplitudes have new forms. On $D 2$and $RP 2$, the left- and the right- moving sectors are connected into a singlesector. Then an amplitude with closed strings on $D 2$ or $RP 2$ can be givenby one open string tree amplitude except for a phase factor. The relationsdepends on the topologies of the world-sheets.Under T-duality, the relations on$D 2$ and $RP 2$ give the amplitudes between closed strings scattering fromD-brane and O-plane respectively by open string partial amplitudes.In the lowenergy limits of these two cases, the factorization relations for gravitonamplitudes do not hold. The amplitudes for gravitons must be given by the newrelations instead.



Author: Yi-Xin Chen, Yi-Jian Du, Qian Ma

Source: https://arxiv.org/







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