## The S-matrix of String Bound States

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**Citation: **

*Gleb Arutyunov, Sergey Frolov, The S-matrix of String Bound States, Nuclear Physics B, 1-2, 2008, 90-143*

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**Abstract: **

We find the S-matrix which describes the scattering of two-particle bound states of the light-cone string sigma model on AdS5xS5. We realize the M-particle bound state representation of the centrally extended su(2|2) algebra on the space of homogeneous (super)symmetric polynomials of degree M depending on two bosonic and two fermionic variables. The scattering matrix S^{MN} of M- and N-particle bound states is a differential operator of degree M+N acting on the product of the corresponding polynomials. We require this operator to obey the invariance condition and the Yang-Baxter equation, and we determine it for the two cases M=1,N=2 and M=N=2. We show that the S-matrices found satisfy generalized physical unitarity, CPT invariance, parity transformation rule and crossing symmetry. Although the dressing factor as a function of four parameters x_1^+,x_1^-,x_2^+,x_2^- is universal for scattering of any bound states, it obeys a crossing symmetry equation which depends on M and N.

**Sponsor**

**Grant Number**

Science Foundation Ireland (SFI)

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**Author's Homepage: **

http://people.tcd.ie/frolovs
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**Description: **

PUBLISHED
**Author:**FROLOV, SERGEY

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**Type of material: **

Journal Article#####
**Series/Report no: **

Nuclear Physics B1-2

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**Availability: **

Full text available#####
**Keywords: **

high energy physics, field theory
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**DOI: **

http://dx.doi.org/10.1016/j.nuclphysb.2008.06.005
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