The non-SUSY AdS 6 and AdS 7 fixed points are brane-jet unstable
- PDF / 368,167 Bytes
- 13 Pages / 595.276 x 841.89 pts (A4) Page_size
- 10 Downloads / 180 Views
Springer
Received: July 15, 2020 Accepted: September 2, 2020 Published: October 1, 2020
Minwoo Suh Department of Physics, Kyungpook National University, Daegu 41566, Korea
E-mail: [email protected] Abstract: In six- and seven-dimensional gauged supergravity, each scalar potential has one supersymmetric and one non-supersymmetric fixed points. The non-supersymmetric AdS7 fixed point is perturbatively unstable. On the other hand, the non-supersymmetric AdS6 fixed point is known to be perturbatively stable. In this note we examine the newly proposed non-perturbative decay channel, called brane-jet instabilities of the AdS 6 and AdS7 vacua. We find that when they are uplifted to massive type IIA and elevendimensional supergravity, respectively, the non-supersymmetric AdS 6 and AdS7 vacua are both brane-jet unstable, in fond of the weak gravity conjecture. Keywords: AdS-CFT Correspondence, Superstring Vacua ArXiv ePrint: 2004.06823
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP10(2020)010
JHEP10(2020)010
The non-SUSY AdS6 and AdS7 fixed points are brane-jet unstable
Contents 1
2 The AdS6 fixed points 2.1 Solutions in massive type IIA supergravity 2.2 D4-brane probes
2 2 4
3 The AdS7 fixed points 3.1 Solutions in eleven-dimensional supergravity 3.2 M5-brane probes
5 5 6
A Potentials of the fluxes for supersymmetric flows A.1 Flows from AdS6 A.2 Flows from AdS7
8 8 9
1
Introduction and conclusions
The AdS/CFT correspondence, [1], has provided a framework to study quantum field theories in various dimensions with various amount of supersymmetry through their gravitational duals. When it comes to the non-supersymmetric quantum field theories, even though there are several known perturbatively stable, [2–4], non-supersymmetric AdS vacua, due to the limited control over the non-supersymmetry, not much was able to be investigated.1 Furthermore, recently, as a stronger version of the weak gravity conjecture, [6], a conjecture on non-supersymmetric AdS vacua was suggested: there are no stable non-supersymmetric AdS vacua from string and M-theory, [7]. In support of testing the conjecture, a new non-perturbative decay channel called brane-jet instability was proposed by Bena, Pilch and Warner in [8]. This examines the force acting on the probe branes and if the force is repulsive, the vacuum is determined to be unstable. In [8], the authors showed the only known perturbatively stable non-supersymmetric AdS4 vacuum, [9, 10], among the AdS vacua of four-, [11], and five-, [12], dimensional maximal gauged supergravity is, in fact, brane-jet unstable. See also [13] for the brane-jet stability from the D2-brane theories. There is a closely related channel of non-perturbative instability from instantons. The condition for nucleation of a bubble in Euclidean AdS is analyzed in [14]. It is given by the competition of tension and charge of the particles. Once the bubble is created, it reaches the boundary of AdS in finite Lorentzian time and destabilizes the AdS spacetime. 2 This i
Data Loading...
