Bubbling AdS space and 1/2 BPS geometries

By Hai Lin, O. Lunin, J. Maldacena. 2004

1,097 citations recorded by the source corpus.

We consider all 1/2 BPS excitations of AdS × S configurations in both type-IIB string theory and M-theory. In the dual field theories these excitations are described by free fermions. Configurations which are dual to arbitrary droplets of free fermions in phase space correspond to smooth geometries with no horizons. In fact, the ten dimensional geometry contains a special two dimensional plane which can be identified with the phase space of the free fermion system. The topology of the resulting geometries depends only on the topology of the collection of droplets on this plane. These solutions also give a very explicit realization of the geometric transitions between branes and fluxes. We also describe all 1/2 BPS excitations of plane wave geometries. The problem of finding the explicit geometries is reduced to solving a Laplace (or Toda) equation with simple boundary conditions. We present a large class of explicit solutions. In addition, we are led to a rather general class of AdS5 compactifications of M-theory preserving = 2 superconformal symmetry. We also find smooth geometries that correspond to various vacua of the maximally supersymmetric mass-deformed M2 brane theory. Finally, we present a smooth 1/2 BPS solution of seven dimensional gauged supergravity corresponding to a condensate of one of the charged scalars.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/648488a8823c18e603e7e01a6ced75f77ed10b34

How researchers see this paper

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

In Mathematical Physics

1. N. Drukker
2. Sergei Gukov
3. D. Gaiotto
4. E. Witten
5. Joaquim Gomis
6. Pavel Putrov
7. Dan Xie
8. S. Hartnoll

In Nuclear and High Energy Physics

1. J. Maldacena
2. S. Hartnoll
3. D. Gaiotto
4. J. Gauntlett
5. Marcos Mariño
6. D. Martelli
7. N. Drukker
8. V. Hubeny

In Statistical and Nonlinear Physics

1. J. Maldacena
2. J. Gauntlett
3. S. Hartnoll
4. N. Drukker
5. D. Martelli
6. Marcos Mariño
7. V. Hubeny
8. N. Warner

Citations in the corpus

• Diagonal free field matrix correlators, global symmetries and giant gravitons (2008, background): “The systematic study of the correlation functions of gauge invariant multi-trace local operators in the half-BPS sector has been fruitful in identifying CFT duals [7, 8, 9] of giant gravitons, strings attached to them [10, 11, 12] as well as bulk geometries resulting from their back-reaction on spac”
• Rotating black holes in gauged supergravities: Thermodynamics, supersymmetric limits, topological solitons and time machines (2005, background): “It differs from the recently-discovered bubble or droplet solutions, which are globally static, charged but non-rotating, and topologically trivial [26, 27].”
• Giant gravitons—with strings attached (I) (2007, neutral): “A.1 Statement of the Reduction Rule 43 A.2 Symmetric Representations 44 A.3 Antisymmetric Representations 44 A.4 General Representations 45 A.5 Examples 47”
• Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, background): “The KK truncations to the massless graviton supermultiplets for the class of N = 2 and N = 1 AdS5 solutions of D = 11 supergravity classified in [54] and [55] were presented in [5] and [4], respectively.”
• Supersymmetric AdS5 solutions of type IIB supergravity (2005, methodology): “It is interesting to note that a double wick rotation of these geometries in [20] was shown to be related to quite different physical phenomena, and this may also be the case for the analogous type IIB supergravity solutions.”
• Large N BPS states and emergent quantum gravity (2005, background): “Indeed, the way topology changes were understood in [15] was as geometric transitions when various branes were stacked on top of each other.”
• The AdS/CFT correspondence (2014, background): “These turn out to have an explicit one-to-one mapping to the so-called LLM geometries [64], specified by arbitrary closed curves in two-dimensions (which correspond to the Fermi surface of the fermions, and simultaneously prescribe the boundary conditions which uniquely determine the ten-dimensional”
• The gravity duals of N=2 superconformal field theories (2009, methodology): “The most general eleven dimensional geometries preserving N = 2 superconformal symmetry were found in [2].”
• AdS 3 solutions of IIB supergravity from D3-branes (2005, methodology): “Contents”
• The library of Babel: on the origin of gravitational thermodynamics (2005, neutral): “55 5.2 Second quantized approach . . . . . . . . . . . . . . . . . . . . . . . . 59”
• General Argyres-Douglas theory (2012, methodology): “The general ansatz for gravity dual of N = 2 theory is written down in [52], the solution is reduced to solving the 3d Toda equation.”
• Four-dimensional SCFTs from M5-branes (2012, neutral): “In the dual supergravity context, the inclusion of punctures was accomplished in [17] by introducing appropriate source terms into the differential equations governing the general N = 2 solutions of [52].”
• Four dimensional black hole microstates: from D-branes to spacetime foam (2006, background): “(1)For 1/2-BPS states in AdS5 a similar picture has emerged in [9, 10].”