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CERN Document Server 35 records found  1 - 10nextend  jump to record: Search took 0.55 seconds. 
1.
Multiple D3-instantons and mock modular forms II / Alexandrov, Sergei (U. Montpellier, L2C ; CERN) ; Banerjee, Sibasish (IPhT, Saclay) ; Manschot, Jan (Trinity Coll., Dublin ; Hamilton Math. Inst., Dublin) ; Pioline, Boris (CERN ; Paris, LPTHE)
We analyze the modular properties of D3-brane instanton corrections to the hypermultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In Part I, we found a necessary condition for the existence of an isometric action of S-duality on this moduli space: the generating function of DT invariants in the large volume attractor chamber must be a vector-valued mock modular form with specified modular properties. [...]
L2C:17-011; CERN-TH-2017-040; IPHT-T17-020; arXiv:1702.05497.- 2018-03-10 - 50 p. - Published in : Commun. Math. Phys. 359 (2018) 297-346 Preprint: PDF;
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2.
Four-derivative couplings and BPS dyons in heterotic CHL orbifolds / Bossard, Guillaume (Ecole Polytechnique, CPHT) ; Cosnier-Horeau, Charles (Ecole Polytechnique, CPHT ; Paris, LPTHE) ; Pioline, Boris (Paris, LPTHE ; CERN)
Three-dimensional string models with half-maximal supersymmetry are believed to be invariant under a large U-duality group which unifies the S and T dualities in four dimensions. We propose an exact, U-duality invariant formula for four-derivative scalar couplings of the form $F(\Phi) (\nabla\Phi)^4$ in a class of string vacua known as CHL $\mathbb{Z}_N$ heterotic orbifolds with $N$ prime, generalizing our previous work which dealt with the case of heterotic string on $T^6$. [...]
arXiv:1702.01926; CERN-TH-2017-028; CPHT-RR004.022017.- 2017-07-31 - 72 p. - Published in : SciPost Phys. 3 (2017) 008 Fulltext: pdf - PDF; arXiv:1702.01926 - PDF;
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3.
Exact $\nabla^4 R^4$ couplings and helicity supertraces / Bossard, Guillaume (Ecole Polytechnique, CPHT) ; Pioline, Boris (Paris, LPTHE ; CERN)
In type II string theory compactified on a $d$-dimensional torus $T^d$ down to $D=10-d$ dimensions, the $R^4$ and $\nabla^4 R^4$ four-graviton couplings are known exactly, for all values of the moduli, in terms of certain Eisenstein series of the U-duality group $E_{d}(\mathbb{Z})$. In the limit where one circle in the torus becomes large, these couplings are expected to reduce to their counterpart in dimension $D+1$, plus threshold effects and exponentially suppressed corrections corresponding to BPS black holes in dimension $D+1$ whose worldline winds around the circle. [...]
arXiv:1610.06693; CERN-TH-2016-224; CPHT-RR046.102016.- 2017-01-12 - 40 p. - Published in : JHEP 01 (2017) 050 Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF; Springer Open Access article: PDF;
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4.
Protected couplings and BPS dyons in half-maximal supersymmetric string vacua / Bossard, Guillaume (Ecole Polytechnique, CPHT) ; Cosnier-Horeau, Charles (Ecole Polytechnique, CPHT ; Paris, LPTHE) ; Pioline, Boris (Paris, LPTHE ; CERN)
We analyze four- and six-derivative couplings in the low energy effective action of $D=3$ string vacua with half-maximal supersymmetry. In analogy with an earlier proposal for the $(\nabla\Phi)^4$ coupling, we propose that the $\nabla^2(\nabla\Phi)^4$ coupling is given exactly by a manifestly U-duality invariant genus-two modular integral. [...]
CPHT-RR-041-0816; CERN-TH-2016-175; arXiv:1608.01660.- 2017-02-10 - 5 p. - Published in : Phys. Lett. B 765 (2017) 377-381 Article from SCOAP3: PDF; Preprint: PDF; External link: Preprint
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5.
Indefinite theta series and generalized error functions / Alexandrov, Sergei (U. Montpellier, L2C) ; Banerjee, Sibasish (IPhT, Saclay) ; Manschot, Jan (Trinity Coll., Dublin) ; Pioline, Boris (CERN ; Paris, LPTHE)
Theta series for lattices with indefinite signature $(n_+,n_-)$ arise in many areas of mathematics including representation theory and enumerative algebraic geometry. Their modular properties are well understood in the Lorentzian case ($n_+=1$), but have remained obscure when $n_+\geq 2$. [...]
arXiv:1606.05495; L2C:16-078; IPHT-T16/058; TCDMATH 16-09; CERN-TH-2016-142; IPHT-T16-058; TCDMATH-16-09; L2C:16-078; IPHT-T16-058; CERN-TH-2016-142.- 2018 - 46 p. - Published in : Selecta Math. 24 (2018) 3927 Preprint: PDF; External link: Preprint
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6.
Multiple D3-instantons and mock modular forms I / Alexandrov, Sergei (U. Montpellier, L2C) ; Banerjee, Sibasish (IPhT, Saclay) ; Manschot, Jan (Trinity Coll., Dublin) ; Pioline, Boris (CERN ; Paris, LPTHE)
We study D3-instanton corrections to the hypermultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In a previous work, consistency of D3-instantons with S-duality was established at first order in the instanton expansion, using the modular properties of the M5-brane elliptic genus. [...]
L2C:16-056; IPHT-T16-037; CERN-TH-2016-121; TCDMATH-16-08; arXiv:1605.05945.- 2016-11-11 - 33 p. - Published in : Commun. Math. Phys. 353 (2017) 379-411 Preprint: PDF; External link: Preprint
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7.
On the Rankin–Selberg method for higher genus string amplitudes / Florakis, Ioannis (CERN) ; Pioline, Boris (CERN ; Paris, LPTHE)
Closed string amplitudes at genus $h\leq 3$ are given by integrals of Siegel modular functions on a fundamental domain of the Siegel upper half-plane. When the integrand is of rapid decay near the cusps, the integral can be computed by the Rankin-Selberg method, which consists of inserting an Eisenstein series $E_h(s)$ in the integrand, computing the integral by the orbit method, and finally extracting the residue at a suitable value of $s$. [...]
arXiv:1602.00308; CERN-TH-2016-022.- Geneva : CERN, 2017 - 68 p. - Published in : Commun. Num. Theor. Phys. 11 (2017) 337-404 Fulltext: PDF; External link: Fulltext
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8.
Theta series, wall-crossing and quantum dilogarithm identities / Alexandrov, Sergei (U. Montpellier, L2C) ; Pioline, Boris (CERN ; Paris, LPTHE)
Motivated by mathematical structures which arise in string vacua and gauge theories with N=2 supersymmetry, we study the properties of certain generalized theta series which appear as Fourier coefficients of functions on a twisted torus. In Calabi-Yau string vacua, such theta series encode instanton corrections from $k$ Neveu-Schwarz five-branes. [...]
arXiv:1511.02892; L2C:15-197; CERN-PH-TH-2015-262; L2C:15-197; CERN-PH-TH-2015-262.- Geneva : CERN, 2016-05-28 - 30 p. - Published in : Lett. Math. Phys. 106 (2016) 1037-1066 Fulltext: PDF; External link: Preprint
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9.
Infrared divergences and harmonic anomalies in the two-loop superstring effective action / Pioline, Boris (CERN ; UPMC, Paris (main) ; Paris, LPTHE) ; Russo, Rodolfo (Queen Mary, U. of London)
We analyze the pertubative contributions to the $D^4 R^4$ and $D^6 R^4$ couplings in the low-energy effective action of type II string theory compactified on a torus $T^d$, with particular emphasis on two-loop corrections. In general, it is necessary to introduce an infrared cut-off $\Lambda$ to separate local interactions from non-local effects due to the exchange of massless states [...]
arXiv:1510.02409; CERN-PH-TH-2015-240; QMUL-PH-15-17; CERN-PH-TH-2015-240; QMUL-PH-15-17.- Geneva : CERN, 2015-12-16 - 23 p. - Published in : JHEP 12 (2015) 102 Article from SCOAP3: PDF; Fulltext: PDF; Springer Open Access article: PDF; External link: Preprint
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10.
A Theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces / Pioline, Boris (CERN ; Paris, LPTHE)
The Kawazumi-Zhang invariant $\varphi$ for compact genus-two Riemann surfaces was recently shown to be a eigenmode of the Laplacian on the Siegel upper half-plane, away from the separating degeneration divisor. Using this fact and the known behavior of $\varphi$ in the non-separating degeneration limit, it is shown that $\varphi$ is equal to the Theta lift of the unique (up to normalization) weak Jacobi form of weight $-2$. [...]
arXiv:1504.04182; CERN-PH-TH-2015-086; CERN-PH-TH-2015-086.- Geneva : CERN, 2016-02-03 - 13 p. - Published in : J. Number Theor. 163 (2016) 520-541 Fulltext: PDF; External link: Preprint
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