Supergravity description of field theories on curved manifolds and a no go theorem

By J. Maldacena, C. Nuñez. 2000

1,258 citations recorded by the source corpus.

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form Rd×Σ where Σ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann surfaces inside K3 or CY manifolds. In some cases the theory at low energies is a conformal field theory with two less dimensions. We find some non-singular supersymmetric compactifications of M-theory down to AdS5. We also propose a criterion for permissible singularities in supergravity solutions. In the second part of this paper, which can be read independently of the first, we show that there are no non-singular Randall-Sundrum or de-Sitter compactifications for large class of gravity theories.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/22b495321cc5334fdf15ed9113a62f526864a8c1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Eran Palti
2. M. Graña
3. R. Kallosh
4. Liam McAllister
5. Andrei Linde
6. J. Gauntlett
7. Gary Shiu
8. Frederik Denef

In Nuclear and High Energy Physics

1. Eran Palti
2. M. Graña
3. D. Lust
4. Frederik Denef
5. Liam McAllister
6. J. Gauntlett
7. R. Kallosh
8. E. Silverstein

In Statistical and Nonlinear Physics

1. J. Gauntlett
2. M. Graña
3. D. Waldram
4. D. Lust
5. F. Benini
6. D. Martelli
7. Eran Palti
8. Ashoke Sen

Citations in the corpus

• Gauged Supergravities. (2016, background): “In order to evade no-go theorems [35, 36, 37], consistent compactifications to D-dimensional space-times with nonnegative cosmological constant, in the presence of fluxes and D-branes, require the introduction of negative-tension objects which are present in the spectrum of superstring theory: the o”
• Four-dimensional SCFTs from M5-branes (2012, methodology): “The foundational work of Maldacena and Núñez (MN) [16] exhibited solutions of eleven-dimensional supergravity preserving either N = 1 or N = 2 supersymmetry which are holographically dual to the theory of M5-branes wrapped on a closed genus g curve Cg.”
• On non-abelian T-dual geometries with Ramond fluxes (2010, background): “To see how this can arise more explicitly, let us consider as a prototypical example the Maldacena–Nunez (MN) solution [44] described by the following potential [43]”
• Non-Abelian T-duality and the AdS/CFT correspondence: New N=1 backgrounds (2013, methodology): “AdS 5×T 1,1 Type IIA/M theory geometry [25], [28]”
• Wrapped M5-branes, consistent truncations and AdS/CMT (2010, methodology): “1 Such solutions describing M5-branes wrapping holomorphic 2-cycles were considered in [1] and generalised to M5-branes wrapping other calibrated cycles in [2]–[4] (see [5] for a review).”
• Supersymmetric AdS5 solutions of M-theory (2004, methodology): “Note, however, that we recover the N = 1 solution of [10], for which it is known that one can divide H 2 by a discrete group of isometries to obtain compact solutions while preserving supersymmetry.”
• G-Structures and Wrapped NS5-Branes (2002, methodology): “This would provide an alternative to the “standard” two-step construction [18, 1] of first finding a solution of D = 7 gauged supergravity and then uplifting to D = 10.”
• The Landscape, the Swampland and the Era of Precision Cosmology (2018, methodology): “Similarly, there is a Maldacena-Nunez no-go theorem [26], which does not allow a stable dS compactification of d = 10 supergravity under certain conditions, including a requirement of a nonsingular compactification manifold.”
• Magnetic Brane Solutions in AdS (2009, result): “The solutions that we find are related to, but distinct from, previously studied “AdS5 black string” solutions (and their higher dimensional cousins) [13]-[18], as well as the solutions of Maldecena and Nunez [19].”
• Accelerating cosmologies from M/String theory compactifications (2003, methodology): “Interestingly, such a compactification does not violate the strong energy condition and accelerated expansion is obtained in Einstein frame circumventing the “no-go” theorem [4] which forbids acceleration in standard compactification.”
• Two-dimensional SCFTs from wrapped branes and c-extremization (2013, methodology): “Another noteworthy case is g > 1, a1 = a2 = 0 and a3 = 1 (or permutations thereof), so that the twist is as in [11, 12] and supersymmetry is enhanced to N = (4, 4).”
• The gravity duals of N=2 superconformal field theories (2009, methodology): “J H E P 1 0 ( 2 0 1 2 ) 1 8 9 AdS5 compactifications of M-theory whose internal manifold involves the same Riemann surface with the same topology [3].”
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “In the absence of orientifold-planes there even exist no-go theorems for branes and fluxes in type II string theories on a compact internal space [140, 141, 142].”