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D = 3 Unification of Curious Supergravities
/ Duff, M.J. (Imperial Coll., London ; Oxford U., Inst. Math.) ; Ferrara, S. (CERN ; INFN, Italy ; UCLA) ; Marrani, A. (Enrico Fermi Ctr., Rome ; INFN, Padua ; CERN ; Padua U.)
We consider the dimensional reduction to D = 3 of four maximal-rank supergravities which preserve minimal supersymmetry in D = 11, 7, 5 and 4. Such "curious" theories were investigated some time ago, and the four-dimensional one corresponds to an N = 1 supergravity with 7 chiral multiplets spanning the seven-disk manifold. [...]
arXiv:1610.08800; IMPERIAL-TP-2016-MJD-3; CERN-TH-2016-225; DFPD-2016-TH-18.-
2017-01-09 - 8 p.
- Published in : JHEP 01 (2017) 023
Article from SCOAP3: PDF; Fulltext: PDF; Springer Open Access article: PDF;
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2.
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Freudenthal Dual Lagrangians
/ Borsten, L. (Imperial Coll., London) ; Duff, M.J. (Imperial Coll., London) ; Ferrara, S. (CERN ; Frascati) ; Marrani, A. (Leuven U.)
The global U-dualities of extended supergravity have played a central role in differentiating the distinct classes of extremal black hole solutions. When the U-duality group satisfies certain algebraic conditions, as is the case for a broad class of supergravities, the extremal black holes enjoy a further symmetry known as Freudenthal duality (F-duality), which although distinct from U-duality preserves the Bekenstein-Hawking entropy. [...]
arXiv:1212.3254; IMPERIAL-TP-2012-MJD-05; CERN-PH-TH-2012-336; IMPERIAL-TP-2012-MJD-05; CERN-PH-TH-2012-336.-
2013-10-07 - 17 p.
- Published in : Class. Quantum Gravity 30 (2013) 235003
Fulltext: PDF; External link: Preprint
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3.
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Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems
/ Borsten, L. (INFN, Turin ; Turin U.) ; Duff, M.J. (Imperial Coll., London) ; Ferrara, S. (CERN ; Frascati ; UCLA) ; Marrani, A. (CERN) ; Rubens, W. (Imperial Coll., London)
We determine explicit orbit representatives of reducible Jordan algebras and of their corresponding Freudenthal triple systems. This work has direct application to the classification of extremal black hole solutions of N = 2, 4 locally supersymmetric theories of gravity coupled to an arbitrary number of Abelian vector multiplets in D = 4, 5 space-time dimensions..
arXiv:1108.0908; IMPERIAL-TP-2011-MJD-3; CERN-PH-TH-2011-192; CERN-PH-TH-2011-192.-
2014 - 23 p.
- Published in : Comm. Math. Phys. 325 (2014) 17-39
Fulltext: PDF; External link: Preprint
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4.
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Small Orbits
/ Borsten, L (INFN, Turin ; Turin U.) ; Duff, M J (Imperial Coll., London) ; Ferrara, S (CERN ; Frascati ; UCLA) ; Marrani, A (CERN) ; Rubens, W (Imperial Coll., London)
We study both the "large" and "small" U-duality charge orbits of extremal black holes appearing in D = 5 and D = 4 Maxwell-Einstein supergravity theories with symmetric scalar manifolds. We exploit a formalism based on cubic Jordan algebras and their associated Freudenthal triple systems, in order to derive the minimal charge representatives, their stabilizers and the associated "moduli spaces". [...]
arXiv:1108.0424; CERN-PH-TH-2011-162.-
2012
- Published in : Phys. Rev. D 85 (2012) 086002
APS Published version, local copy: PDF; External link: Preprint
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5.
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On the Black-Hole/Qubit Correspondence
/ Borsten, L. (INFN, Turin ; Turin U.) ; Duff, M.J. (Imperial Coll., London) ; Marrani, A. (CERN) ; Rubens, W. (Imperial Coll., London)
The entanglement classification of four qubits is related to the extremal black holes of the 4-dimensional STU model via a time-like reduction to three dimensions. This correspondence is generalised to the entanglement classification of a very special four-way entanglement of eight qubits and the black holes of the maximally supersymmetric N = 8 and exceptional magic N = 2 supergravity theories..
arXiv:1101.3559; IMPERIAL-TP-2011-MJD-5; CERN-PH-TH-2011-004; CERN-PH-TH-2011-004.-
2011 - 33 p.
- Published in : Eur. Phys. J. Plus 126 (2011) 37
Fulltext: PDF; External link: Preprint
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6.
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Four curious supergravities
/ Duff, M.J. (Imperial Coll., London) ; Ferrara, S. (CERN ; Frascati ; UCLA)
We consider four supergravities with 16+16, 32+32, 64+64, 128+128 degrees of freedom displaying some curious properties: (1) They exhibit minimal supersymmetry (N=1, 2, 2, 1) but maximal rank (r=7, 6, 4, 0) of the scalar coset in D=4, 5, 7, 11. (2) They couple naturally to supermembranes and admit these membranes as solutions. [...]
arXiv:1010.3173; IMPERIAL-TP-2010-MJD-4; CERN-PH-TH-2010-220; IMPERIAL-TP-2010-MJD-4; CERN-PH-TH-2010-220.-
2011 - 16 p.
- Published in : Phys. Rev. D 83 (2011) 046007
APS Published version, local copy: PDF; Fulltext: PDF; External link: Preprint
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7.
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Generalized mirror symmetry and trace anomalies
/ Duff, M J (Imperial Coll., London) ; Ferrara, S (CERN ; Frascati ; UCLA)
We consider compactification of M-theory on X7 with betti numbers (b_0, b_1, b_2, b_3, b_3, b_2, b_1, b_0) and define a generalized mirror symmetry (b_0, b_1, b_2, b_3) goes to (b_0, b_1, b_2 -rho/2, b_3+rho/2)$ under which rho = 7b_0-5b_1+3b_2 -b_3 changes sign. Generalized self-mirror theories with rho=0 have massless sectors with vanishing trace anomaly (before dualization). [...]
arXiv:1009.4439; IMPERIAL-TP-2009-MJD-3; CERN-PH-TH-2010-162.-
2011 - 19 p.
- Published in : Class. Quantum Gravity 28 (2011) 065005
External link: Preprint
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9.
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Observations on Integral and Continuous U-duality Orbits in N=8 Supergravity
/ Borsten, L (Imperial Coll., London) ; Dahanayake, D (Imperial Coll., London) ; Duff, M J (Imperial Coll., London) ; Ferrara, S (CERN ; Frascati ; UCLA) ; Marrani, A (Stanford U., ITP) ; Rubens, W (Imperial Coll., London)
One would often like to know when two a priori distinct extremal black p-brane solutions are in fact U-duality related. In the classical supergravity limit the answer for a large class of theories has been known for some time. [...]
arXiv:1002.4223; IMPERIAL-TP-2010-MJD-1; CERN-PH-TH-2010-040; SU-ITP-10-07.-
2010 - 43 p.
- Published in : Class. Quantum Gravity 27 (2010) 185003
Fulltext: PDF; External link: Preprint
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10.
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$E_{6}$ and the bipartite entanglement of three qutrits
/ Duff, M.J. (Imperial Coll., London) ; Ferrara, S. (CERN ; UCLA ; Frascati)
Recent investigations have established an analogy between the entropy of four-dimensional supersymmetric black holes in string theory and entanglement in quantum information theory. Examples include: (1) N=2 STU black holes and the tripartite entanglement of three qubits (2-state systems), where the common symmetry is [SL(2)]^3 and (2) N=8 black holes and the tripartite entanglement of seven qubits where the common symmetry is E_7 which contains [SL(2)]^7. [...]
arXiv:0704.0507; CERN-PH-TH-2007-78; UCLA-07-TEP-7; IMPERIAL-TP-2007-MJD-1; CERN-PH-TH-2007-078; UCLA-07-TEP-7.-
2007 - 15 p.
- Published in : Phys. Rev. D 76 (2007) 124023
APS Published version, local copy: PDF; Fulltext: PDF; External link: Preprint
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