Multi-instanton calculus on ALE spaces

Fucito, F.; Morales, José F.; Poghossian, Rubik

doi:10.1016/j.nuclphysb.2004.09.014

Cited by 87 publications

(145 citation statements)

References 32 publications

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“…In section 3 we present the microscopic computation of the instanton corrections for theories with gauge algebras in the classical B r and C r series using the equivariant localization methods [17][18][19][20]. This is necessary in order to have explicit "microscopic" data on the multi-instanton corrections which can then be used in order to prove S-duality or compared with the Sduality predictions.…”

Section: Jhep11(2015)026mentioning

confidence: 99%

“…The (quasi-)modular forms of Γ 0 (n g ) are known (see for instance [15,16]; see also [21] for a catalog and appendix B of [22] for a nice compendium). They form a ring generated by the basic elements 20) 3 Note that the S-duality transformation (2.9) lies outside this subgroup.…”

Section: Jhep11(2015)026mentioning

confidence: 99%

“…We recall that the instanton moduli space for theories with orthogonal and symplectic gauge groups can be engineered using systems of N D3 branes and k D(-1) branes living on top on an orientifold O3 plane in Type IIB string theory [20]. In this set-up the instanton moduli are realised in terms of the lowest modes of open strings with at least an endpoint on a D(-1) brane [25][26][27][28][29], whose spectrum can be obtained from that of the parent U(N ) × U(k) theory after an orientifold projection.…”

Section: Jhep11(2015)026mentioning

confidence: 99%

“…As a result of this projection, keeping only the antisymmetric combinations, the symmetry group of the D3/D(-1) brane system reduces to SO(2r + 1) × Sp(2k), see for example [20]. The invariant components under Ω I are listed in table 2.…”

Section: Multi-instantons For the B R = So(2r + 1) Theoriesmentioning

confidence: 99%

“…The instanton moduli space of the N = 2 ⋆ Sp(2r) gauge theory is found from that of U(2r) after quotienting by Ω I. As a result of this projection, keeping only the symmetric combinations, the symmetry of the D3/D(-1) brane system reduces to Sp(2r) × SO(k) where k = 2K + ν with ν = 0 or 1 for k even or odd respectively [20]. The invariant components under Ω I are listed in table 3.…”

Section: Multi-instantons For the C R = Sp(2r) Theoriesmentioning

confidence: 99%

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S-duality and the prepotential of N = 2 ⋆ $$ \mathcal{N}={2}^{\star } $$ theories (II): the non-simply laced algebras

Billó

Frau

Fucito

et al. 2015

J. High Energ. Phys.

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We derive a modular anomaly equation satisfied by the prepotential of the N = 2 ⋆ supersymmetric theories with non-simply laced gauge algebras, including the classical B r and C r infinite series and the exceptional F 4 and G 2 cases. This equation determines the exact prepotential recursively in an expansion for small mass in terms of quasi-modular forms of the S-duality group. We also discuss the behaviour of these theories under S-duality and show that the prepotential of the SO(2r + 1) theory is mapped to that of the Sp(2r) theory and viceversa, while the exceptional F 4 and G 2 theories are mapped into themselves (up to a rotation of the roots) in analogy with what happens for the N = 4 supersymmetric theories. These results extend the analysis for the simply laced groups presented in a companion paper.

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Section: Jhep11(2015)026mentioning

confidence: 99%

Section: Jhep11(2015)026mentioning

confidence: 99%

Section: Jhep11(2015)026mentioning

confidence: 99%

Section: Multi-instantons For the B R = So(2r + 1) Theoriesmentioning

confidence: 99%

Section: Multi-instantons For the C R = Sp(2r) Theoriesmentioning

confidence: 99%

See 3 more Smart Citations

S-duality and the prepotential of N = 2 ⋆ $$ \mathcal{N}={2}^{\star } $$ theories (II): the non-simply laced algebras

Billó

Frau

Fucito

et al. 2015

J. High Energ. Phys.

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Synthesis and characterization of novel fluoride‐releasing monomers. II. Dimethacrylates containing bis(aminodiacetic acid) and their ternary zirconium fluoride complexes

Ding

Ling

et al. 2005

J. Polym. Sci. A Polym. Chem.

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Novel dimethacrylate monomers containing bis(aminodiacetic acid) chelating ligands with or without additional hydroxyl groups were synthesized, starting from 2,2‐bis(4‐hydroxy‐3‐methylphenyl)propane. The structures of the monomers were characterized by electrospray mass spectrometry (ESMS), 1H NMR, and 13C NMR. The structures and relative stability of fluoride‐releasing monomers containing one or more ternary zirconium fluoride complex moieties were studied by ESMS. The most stable ternary zirconium fluoride complex was in the form of [LZrF]−, where H4L is the monomer containing bis(aminodiacetic acid) without additional hydroxyl groups. The synthesized monomer was photopolymerized with camphorquinone and 1‐phenyl‐1,2‐propane‐dione as initiators and N,N‐dimethylaminoethyl methacrylate as the accelerator. The fluoride release, fluoride recharge, compressive strength, and flexure strength were tested on the experimental dental composite containing 13.7 wt % synthesized monomer and three commercial flowable dental composites. The results showed that the experimental composite has significantly higher fluoride release and recharge capabilities than the commercial flowable composites. The compressive strength was comparable to that of the commercial materials. The water sorption and solubility met the requirement of the ISO Specification 4049. © 2005 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 43: 3153–3166, 2005

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Synthesis and stability study of dental monomers containing methacrylamidoethyl phosphonic acids

Wang

Ling

et al. 2006

J. Polym. Sci. A Polym. Chem.

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Three new dental monomers containing methacrylamidoethyl phosphonic acids were synthesized. The structures of the synthesized monomers were determined with electrospray mass spectrometry (ESMS), Fourier transform infrared, and NMR. The hydrolytic stabilities of the synthesized monomers and a commercial monomer, 2-methacryloyloxyethyl phosphoric acid (MEP; used as a control), were studied with flow injection (FI)/ESMS, 1 H NMR, and 31 P NMR analysis of a CD 3 OD/D 2 O (4:1 v/v) solution of each monomer before and after storage at 60 8C for 2 months. The 1 H NMR and 31 P NMR chemical shifts of the monomers 2-methacrylamidoethylphosphonic acid (I) and N,N 0 -[4,4 0 -(propane-2,2-diyl)-bis(phenoxy-2-hydroxypropyl)]-bis(2methacrylamidoethylphosphonic acid) (II) showed little change after storage at 60 8C for 2 months, but those of MEP changed significantly. FI/ESMS also showed that MEP was nearly completely decomposed, whereas monomers I and II remained largely intact. MEP could react with H 2 ZrF 6 to form ternary zirconium fluoride complexes that were partially soluble in methanol, but all the monomers containing phosphonic acids formed precipitates. This study demonstrates that ESMS is a more sensitive and effective method than NMR for studying the hydrolytic stability or degradation of dental monomers. The new monomers containing methacrylamidoethyl phosphonic acids have higher hydrolytic stability than methacrylate phosphate monomers and may be used in dental bonding agents and other dental materials.

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Multi-instanton calculus on ALE spaces

Cited by 87 publications

References 32 publications

S-duality and the prepotential of N = 2 ⋆ $$ \mathcal{N}={2}^{\star } $$ theories (II): the non-simply laced algebras

S-duality and the prepotential of N = 2 ⋆ $$ \mathcal{N}={2}^{\star } $$ theories (II): the non-simply laced algebras

Synthesis and characterization of novel fluoride‐releasing monomers. II. Dimethacrylates containing bis(aminodiacetic acid) and their ternary zirconium fluoride complexes

Synthesis and stability study of dental monomers containing methacrylamidoethyl phosphonic acids

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