| 1. |
- Astolfi, Davide, et al.
(författare)
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Finite-size corrections in the SU(2)×SU(2) sector of type IIA string theory on AdS4 x CP3
- 2009
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Ingår i: Nuclear Physics B. - : Elsevier BV. - 0550-3213 .- 1873-1562. ; 810:1-2, s. 150-173
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Tidskriftsartikel (refereegranskat)abstract
- We consider finite-size corrections in the SU(2)×SU(2) sector of type IIA string theory on , which is the string dual of the recently constructed superconformal Chern–Simons theory of Aharony, Bergman, Jafferis and Maldacena (ABJM theory). The string states we consider are in the subspace of with an angular momentum J on being large. We compute the finite-size corrections using two different methods, one is to consider curvature corrections to the Penrose limit giving an expansion in1/J, the other by considering a low energy expansion in λ′=λ/J2 of the string theory sigma-model, λ being the 't Hooft coupling of the dual ABJM theory. For both methods there are interesting issues to deal with. In the near-pp-wave method there is a interaction term for which we use zeta-function regularization in order to compute the 1/J correction to the energy. For the low energy sigma-model expansion we have to take into account a non-trivial coupling to a non-dynamical transverse direction. We find agreement between the two methods. At order λ′ and , for small λ′, our results are analogous to the ones for the SU(2) sector in type IIB string theory on AdS5×S5. Instead at order there are interactions between the two two-spheres. We compare our results with the recently proposed all-loop Bethe ansatz of Gromov and Vieira and find agreement.
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| 2. |
- Forini, V., et al.
(författare)
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One-loop spectroscopy of semiclassically quantized strings: bosonic sector
- 2015
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Ingår i: Journal of Physics A: Mathematical and Theoretical. - : IOP Publishing. - 1751-8121 .- 1751-8113. ; 48:8, s. Art. no. 085401-
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Tidskriftsartikel (refereegranskat)abstract
- We make a further step in the analytically exact quantization of spinning string states in semiclassical approximation, by evaluating the exact one-loop partition function for a class of two-spin string solutions for which quadratic fluctuations form a non-trivial system of coupled modes. This is the case of a folded string in the SU(2) sector, in the limit described by a quantum Landau-Lifshitz model. The same applies to the full bosonic sector of fluctuations over the folded spinning string in AdS(5) with an angular momentum J in S-5. Fluctuations are governed by a special class of fourth-order differential operators, with coefficients being meromorphic functions on the torus, which we are able to solve exactly.
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| 3. |
- Forini, V., et al.
(författare)
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The generalized cusp in AdS(4) x CP3 and more one-loop results from semiclassical strings
- 2013
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Ingår i: Journal of Physics A: Mathematical and Theoretical. - : IOP Publishing. - 1751-8121 .- 1751-8113. ; 46:11
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Tidskriftsartikel (refereegranskat)abstract
- We evaluate the exact one-loop partition function for fundamental strings whose world surface ends on a cusp at the boundary of AdS(4) and has a 'jump' in CP3. This allows us to extract the stringy prediction for the ABJM-generalized cusp anomalous dimension Gamma(ABJM)(cusp) (phi, theta) up to NLO in sigma-model perturbation theory. With a similar analysis, we present the exact partition functions for folded closed string solutions moving in the AdS(3) parts of AdS(4) x CP3 and AdS(3) x S-3 x S-3 x S-1 backgrounds. Results are obtained applying to the string solutions relevant for the AdS(4)/CFT3 and AdS(3)/CFT2 correspondence the tools previously developed for their AdS(5) x S-5 counterparts.
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| 4. |
- Giangreco Marotta Puletti, Valentina
(författare)
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Aspects of quantum integrability for pure spinor superstring in AdS5 × S5
- 2008
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; :09, s. 070-
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Tidskriftsartikel (refereegranskat)abstract
- We consider the monodromy matrix for the pure spinor IIB superstring on AdS5 × S5 at leading order at strong coupling, in particular its variation under an infinitesimal and continuous deformation of the contour. Such variation is equivalent to the insertion of a local operator. Demanding the BRST-closure for such an operator rules out its existence, implying that the monodromy matrix remains contour-independent at the first order in perturbation theory. Furthermore we explicitly compute the field strength corresponding to the flat connections up to leading order and directly check that it is free from logarithmic divergences. The absence of anomaly in the coordinate transformation of the monodromy matrix and the UV-finiteness of the curvature tensor finally imply the integrability of the pure spinor superstring at the first order.
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| 5. |
- Giangreco Marotta Puletti, Valentina, et al.
(författare)
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Factorized world-sheet scattering in near-flat AdS5×S5
- 2008
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Ingår i: Nuclear Physics B. - : Elsevier BV. - 0550-3213 .- 1873-1562. ; 792:3, s. 228-256
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Tidskriftsartikel (refereegranskat)abstract
- We show the factorization of the three-particle world-sheet S-matrix of AdS5×S5 superstring theory in the near-flat-space limit at one loop order. This is done by computing various scattering amplitudes from Feynman diagrams in the world-sheet theory. The knowledge of certain highest weight amplitudes allows us to fix all the freedom in the three-particle S-matrix, which we argue to be constrained up to four scalar functions due to the symmetries of the model. We demonstrate that these amplitudes are given by corresponding products of the known two-particle S-matrix elements, from which it follows that the scattering of any three world-sheet excitations factorizes. This provides an explicit and direct check of the quantum integrability of string theory in near-flat AdS5×S5 as it renders evidence for the existence of higher conserved charges. By computing further amplitudes we also obtain an indirect confirmation of the supersymmetries of the near-flat-space model.
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| 6. |
- Giangreco Marotta Puletti, Valentina, 1980, et al.
(författare)
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Friedel oscillations in holographic metals
- 2012
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2012:1
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Tidskriftsartikel (refereegranskat)abstract
- In this article we study the conditions under which holographic metallic states display Friedel oscillations. We focus on systems where the bulk charge density is not hidden behind a black hole horizon. Understanding holographic Friedel oscillations gives a clean way to characterize the boundary system, complementary to probe fermion calculations. We find that fermions in a "hard wall" AdS geometry unambiguously display Friedel oscillations. However, similar oscillations are washed out for electron stars, suggesting a smeared continuum of Fermi surfaces.
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| 7. |
- Giangreco Marotta Puletti, Valentina, 1980-
(författare)
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On string integrability : A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
- 2009
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- One of the main topics in the modern String Theory are the conjectured string/gauge (AdS/CFT) dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, i.e. the integrability, in the planar AdS/CFT has allowed us to reach immense progresses in understanding and confirming the duality.The first part of this thesis is focused on the gravity side of the AdS5/CFT4 duality: we investigate the quantum integrability of the type IIB superstring on AdS5 x S5. In the pure spinor formulation we analyze the operator algebra by computing the operator product expansion of the Maurer-Cartan currents at the leading order in perturbation theory. With the same approach at one loop order, we show the path-independence of the monodromy matrix which implies the charge conservation law, strongly supporting the quantum integrability of the string sigma-model. We also verify that the Lax pair field strength remains well-defined at one-loop order being free from UV divergences. The same string sigma-model is analyzed in the Green-Schwarz formalism in the near-flat-space (NFS) limit. Such a limit remarkably simplifies the string world-sheet action but still leaving interesting physics. We use the NFS truncation to show the factorization of the world-sheet S-matrix at one-loop order. This property defines a two-dimensional field theory as integrable: it is the manifestation of the higher conserved charges. Hence, we have explicitly checked their presence at quantum level. The second part is dedicated to the AdS4/CFT3 duality: in particular the type IIA superstring on AdS4 x CP3. We compute the leading quantum corrections to the string energies for string configurations with a large but yet finite angular momentum on CP3 and show that they match the conjectured all-loop Bethe Ansatz equations.
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| 8. |
- Giangreco Marotta Puletti, Valentina, 1980-
(författare)
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Operator product expansion for pure spinor superstring on AdS5 x S5
- 2006
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; :10, s. 057-
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Tidskriftsartikel (refereegranskat)abstract
- The tree-level operator product expansion coefficients of the matter currents are calculated in the pure spinor formalism for type IIB superstring in the AdS5 × S5 background.
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| 9. |
- Thull, Charles, 1994-
(författare)
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On squashed spheres and warm strings : Applications of supersymmetric localization and integrability in gauge and string theory
- 2024
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- Non-perturbative aspects of quantum field theories are notoriously hard to explore. In this thesis we study applications of two different techniques that give non-perturbative results for supersymmetric quantum field theories.The first exact technique we use is supersymmetric localization which allows for the exact computation of partition functions on compact manifolds and squashed spheres of various dimensions are the manifolds of our choice. In three dimensions we use the squashed sphere partition functions to test dualities of N=4 gauge theories. For a squashed sphere preserving six supercharges we lift analytic results from the round sphere. On a squashed sphere preserving 4 supercharges we numerically evaluate the ABJM and N=8 super Yang-Mills (SYM) partition functions at low rank and find equality within estimated error margins. In four dimensions we present a framework to obtain partially integrated correlators of 4d N=2 gauge theories from their localized partition functions. Moreover we discuss the general form of the free energy of N=2 superconformal field theories on deformed four-dimensional spheres and use localization in N=4 SYM for an explicit example. In seven dimensions we study the super Yang-Mills on a sphere and propose a contribution of three-dimensional membrane instantons to its localized partition function. We then outline an approach to study the weak negative coupling limit of the SYM theory on the seven-sphere.As the second approach to exact results we use the integrability of N=4 SYM and ABJM theory in the planar limit. Using the quantum spectral curve we compute the Hagedorn temperature for finite coupling both in N=4 SYM and ABJM theory. On the dual AdS side we use an effective model to compute subleading terms in the curvature expansion of the Hagedorn temperature. We use the numeric CFT calculation to conjecture the analytic form of an unfixed coefficient in the effective model.
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