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1.
Matching the $D^{6}R^{4}$ interaction at two-loops / D'Hoker, Eric (UCLA ; Santa Barbara, KITP) ; Green, Michael B. (Cambridge U., DAMTP) ; Pioline, Boris (CERN ; Paris U., IV ; Paris, LPTHE) ; Russo, Rodolfo (Queen Mary, U. of London)
The coefficient of the $D^6 {\cal R}^4$ interaction in the low energy expansion of the two-loop four-graviton amplitude in type II superstring theory is known to be proportional to the integral of the Zhang-Kawazumi (ZK) invariant over the moduli space of genus-two Riemann surfaces. We demonstrate that the ZK invariant is an eigenfunction with eigenvalue 5 of the Laplace-Beltrami operator in the interior of moduli space. [...]
arXiv:1405.6226; NSF-KITP-14045; DAMTP-2014-22; QMUL-PH-14-11; CERN-PH-TH-2014-079; NSF-KITP-14045; DAMTP-2014-22; QMUL-PH-14-11; CERN-PH-TH-2014-079.- 2015-01-09 - 40 p. - Published in : JHEP 01 (2015) 031 Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF; Springer Open Access article: PDF; External link: Preprint
2.
Non-critical strings at high energy / Aoki, Kenichiro (Keio U.) ; D'Hoker, Eric (CERN ; UCLA)
We consider scattering amplitudes in non-critical string theory of $N$ external states in the limit where the energy of all external states is large compared to the string tension. We argue that the amplitudes are naturally complex analytic in the matter central charge $c$ and we propose to define the amplitudes for arbitrary value of $c$ by analytic continuation. [...]
hep-th/9609079; UCLA-96-TEP-27.- 1996 - 36 p. - Published in : Nucl. Phys. B 490 (1997) 40-74 Access to fulltext document: PDF; Fulltext: PDF; External link: hep-th/9609079 PDF
3.
The Effective Prepotential of N=2 Supersymmetric $SU(N_c)$ Gauge Theories / D'Hoker, Eric (CERN ; UCLA) ; Krichever, I.M. (Landau Inst. ; Columbia U.) ; Phong, D.H. (Columbia U.)
We determine the effective prepotential for N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number of flavors N_f < 2N_c, from the exact solution constructed out of spectral curves. The prepotential is the same for the several models of spectral curves proposed in the literature. [...]
hep-th/9609041; UCLA-96-TEP-28.- Los Angeles, CA : Calif. Univ. Los Angeles, 1996 - 33 p. - Published in : Nucl. Phys. B 489 (1997) 179-210 Access to fulltext document: PDF; Fulltext: PDF; External link: hep-th/9609041 PDF

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118 D'Hoker, E
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