String interactions and discrete symmetries of the pp-wave background

Chu, Chong‐Sun; Petrini, Michela; Russo, Rodolfo; Tanzini, Alessandro

doi:10.1088/0264-9381/20/12/311

Cited by 28 publications

(51 citation statements)

References 23 publications

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“…Aside from satisfying the pp-wave super-algebra, the SV vertex has two features: (a) it has definite parity under the accidental Z 2 symmetry that exchanges the two manifest SO(4) symmetry groups (the parity is odd in the conventions where the vacuum is Z 2 invariant), (b) it has a smooth 'flat space' limit. Before the question of whether these features are compatible with the putative duality map was answered, another physically different vertex was proposed in [19,20,21]. This vertex satisfies the same pp-wave super-algebra, but does not share the above-mentioned features: (a) it has opposite parity under the Z 2 , (b) as a consequence of this parity property, it does not have a smooth 'flat space' limit.…”

Section: Choice Of Basis (Operator Mixing)mentioning

confidence: 99%

Holographic cubic vertex in the pp-wave

Lee¹,

Russo²

2005

Nuclear Physics B

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We revisit the cubic interaction of IIB string theory in the maximally supersymmetric pp-wave background. In the supergravity limit, we show that detailed comparison with AdS supergravity determine the vertex completely. Extension of this supergravity vertex to the full string theory leads to a new cubic vertex that combines the previous proposals and contains additional terms. We give an alternative derivation of the holographic duality map in supergravity, first found by Dobashi and Yoneya (hep-th/0406225) and show that our new vertex is consistent with it. We compare some non-BPS amplitudes (including impurity non-preserving ones) with the corresponding field theory correlators, and discuss what they imply for the stringy generalization of the duality map. We also notice that our vertex realizes the U(1)_Y symmetry linearly, and propose a similar modification for the flat space vertex.Comment: 26 pages, 2 figures; v2. minor corrections, references adde

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Section: Choice Of Basis (Operator Mixing)mentioning

confidence: 99%

Holographic cubic vertex in the pp-wave

Lee¹,

Russo²

2005

Nuclear Physics B

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“…There have been many attempts to reproduce these corrections within string theory [24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39]. This would constitute a highly nontrivial check of the AdS/CFT correspondence at the level of interacting strings.…”

Section: (14)mentioning

confidence: 99%

Divergence cancellation and loop corrections in string field theory on a plane wave background

Grignani

Orselli

Ramadanovic

et al. 2005

J. High Energy Phys.

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We investigate the one-loop energy shift δE to certain two-impurity string states in light-cone string field theory on a plane wave background. We find that there exist logarithmic divergences in the sums over intermediate mode numbers which cancel between the cubic Hamiltonian and quartic "contact term". Analyzing the impurity non-conserving channel we find that the non-perturbative O(g 2 2 √ λ ′ ) contribution to δE/µ predicted in [33] is in fact an artifact of these logarithmic divergences and vanishes with them, leaving an O(g 2 2 λ ′ ) contribution. Exploiting the supersymmetry algebra, we present a form for the energy shift which appears to be manifestly convergent and free of non-perturbative terms. We use this form to argue that δE/µ receives O(g 2 2 λ ′ ) contributions at every order in intermediate state impurities.

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“…(27). Thus the coherent state variables (b 0 , b * 0 ) are used for the zero-modes as well as for all the other modes m = 0, and the resulting state is [55,58]:…”

Section: The 3-string Vertexmentioning

confidence: 99%

The duality between IIB string theory on PP-wave and =4 SYM: a status report

Russo

Tanzini

2004

Class. Quantum Grav.

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Abstract.The aim of this report is to give an overview of the duality between type IIB string theory on the maximally supersymmetric PP-wave and the BMN sector of N = 4 Super Yang-Mills theory. The general features of the string and the field theory descriptions are reviewed, but the main focus of this report is on the comparison between the two sides of the duality. In particular, it is first explained how free IIB strings emerge on the gauge theory side and then the generalizations of this relation to the full interacting theory are considered. An "historical" approach is taken and the various proposals presented in the literature are described.

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String interactions and discrete symmetries of the pp-wave background

Cited by 28 publications

References 23 publications

Holographic cubic vertex in the pp-wave

Holographic cubic vertex in the pp-wave

Divergence cancellation and loop corrections in string field theory on a plane wave background

The duality between IIB string theory on PP-wave and =4 SYM: a status report

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