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Two-loop superstrin...
Two-loop superstring five-point amplitudes. Part II. Low energy expansion and S-duality
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- D'Hoker, Eric (författare)
- Univ Calif Los Angeles, Dept Phys & Astron, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA.
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- Mafra, Carlos R. (författare)
- Univ Southampton, STAG Res Ctr, Southampton SO17 1BJ, Hants, England.;Univ Southampton, Math Sci, Southampton SO17 1BJ, Hants, England.
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- Pioline, Boris (författare)
- CNRS, Lab Phys Theor & Hautes Energies, Campus Pierre & Marie Curie,4 Pl Jussieu, F-75252 Paris, France.;Sorbonne Univ, UMR 7589, Campus Pierre & Marie Curie,4 Pl Jussieu, F-75252 Paris, France.
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- Schlotterer, Oliver (författare)
- Uppsala universitet,Teoretisk fysik
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Univ Calif Los Angeles, Dept Phys & Astron, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA Univ Southampton, STAG Res Ctr, Southampton SO17 1BJ, Hants, England.;Univ Southampton, Math Sci, Southampton SO17 1BJ, Hants, England. (creator_code:org_t)
- Springer Nature, 2021
- 2021
- Engelska.
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer Nature. - 1126-6708 .- 1029-8479. ; :2
- Relaterad länk:
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https://doi.org/10.1...
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https://uu.diva-port... (primary) (Raw object)
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- In an earlier paper, we constructed the genus-two amplitudes for five external massless states in Type II and Heterotic string theory, and showed that the alpha ' expansion of the Type II amplitude reproduces the corresponding supergravity amplitude to leading order. In this paper, we analyze the effective interactions induced by Type IIB superstrings beyond supergravity, both for U(1)(R)-preserving amplitudes such as for five gravitons, and for U(1)(R)-violating amplitudes such as for one dilaton and four gravitons. At each order in alpha ', the coefficients of the effective interactions are given by integrals over moduli space of genus-two modular graph functions, generalizing those already encountered for four external massless states. To leading and sub-leading orders, the coefficients of the effective interactions (DR5)-R-2 and (DR5)-R-4 are found to match those of (DR4)-R-4 and (DR4)-R-6, respectively, as required by non-linear supersymmetry. To the next order, a (DR5)-R-6 effective interaction arises, which is independent of the supersymmetric completion of (DR4)-R-8, and already arose at genus one. A novel identity on genus-two modular graph functions, which we prove, ensures that up to order (DR5)-R-6, the five-point amplitudes require only a single new modular graph function in addition to those needed for the four-point amplitude. We check that the supergravity limit of U(1)(R)-violating amplitudes is free of UV divergences to this order, consistently with the known structure of divergences in Type IIB supergravity. Our results give strong consistency tests on the full five-point amplitude, and pave the way for understanding S-duality beyond the BPS-protected sector.
Ämnesord
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
Nyckelord
- String Duality
- Superstrings and Heterotic Strings
- Conformal Field Models in String Theory
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- ref (ämneskategori)
- art (ämneskategori)
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