DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: $$ \mathcal{N} $$ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory

Abstract

In this study, we investigate a family of SU(3)×U(1)×U(1)-invariant holographic flows and Janus solutions obtained from gauged $$ \mathcal{N} $$ = 8 supergravity in four dimensions. We give complete details of how to use the uplift formulae to obtain the corresponding solutions in M theory. While the flow solutions appear to be singular from the four-dimensional perspective, we find that the eleven-dimensional solutions are much better behaved and give rise to interesting new classes of compactification geometries that are smooth, up to orbifolds, in the infra-red limit. Our solutions involve new phases in which M2 branes polarize partially or even completely into M5 branes. We derive the eleven-dimensional supersymmetries and show that the eleven-dimensional equations of motion and BPS equations are indeed satisfied as a consequence of their four-dimensional counterparts. Apart from elucidating a whole new class of eleven-dimensional Janus and flow solutions, our work provides extensive and highly non-trivial tests of the recently-derived uplift formulae.

Authors:
 [1];  [1];  [1]
  1. Univ. of Southern California, Los Angeles, CA (United States)
Publication Date:
Research Org.:
Univ. of Southern California, Los Angeles, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1360121
Grant/Contract Number:  
SC0011687
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; flux compactifications; AdS-CFT correspondence; M-Theory

Citation Formats

Pilch, Krzysztof, Tyukov, Alexander, and Warner, Nicholas P. $ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory. United States: N. p., 2016. Web. doi:10.1007/JHEP05(2016)005.
Pilch, Krzysztof, Tyukov, Alexander, & Warner, Nicholas P. $ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory. United States. https://doi.org/10.1007/JHEP05(2016)005
Pilch, Krzysztof, Tyukov, Alexander, and Warner, Nicholas P. Mon . "$ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory". United States. https://doi.org/10.1007/JHEP05(2016)005. https://www.osti.gov/servlets/purl/1360121.
@article{osti_1360121,
title = {$ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory},
author = {Pilch, Krzysztof and Tyukov, Alexander and Warner, Nicholas P.},
abstractNote = {In this study, we investigate a family of SU(3)×U(1)×U(1)-invariant holographic flows and Janus solutions obtained from gauged $ \mathcal{N} $ = 8 supergravity in four dimensions. We give complete details of how to use the uplift formulae to obtain the corresponding solutions in M theory. While the flow solutions appear to be singular from the four-dimensional perspective, we find that the eleven-dimensional solutions are much better behaved and give rise to interesting new classes of compactification geometries that are smooth, up to orbifolds, in the infra-red limit. Our solutions involve new phases in which M2 branes polarize partially or even completely into M5 branes. We derive the eleven-dimensional supersymmetries and show that the eleven-dimensional equations of motion and BPS equations are indeed satisfied as a consequence of their four-dimensional counterparts. Apart from elucidating a whole new class of eleven-dimensional Janus and flow solutions, our work provides extensive and highly non-trivial tests of the recently-derived uplift formulae.},
doi = {10.1007/JHEP05(2016)005},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2016,
place = {United States},
year = {Mon May 02 00:00:00 EDT 2016},
month = {Mon May 02 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
journal, October 2008


New vacua of gauged supergravity in five dimensions
journal, August 2000


Renormalization group flows from holography: Supersymmetry and a $c$-theorem
journal, January 1999

  • Freedman, D. Z.; Gubser, S. S.; Pilch, K.
  • Advances in Theoretical and Mathematical Physics, Vol. 3, Issue 2
  • DOI: 10.4310/ATMP.1999.v3.n2.a7

A new supersymmetric compactification of chiral IIB supergravity
journal, August 2000


$\mathcal{N} = 1$ supersymmetric renormalization group flows from IIB supergravity
journal, January 2000

  • Pilch, Krzysztof; Warner, Nicholas P.
  • Advances in Theoretical and Mathematical Physics, Vol. 4, Issue 3
  • DOI: 10.4310/ATMP.2000.v4.n3.a5

Holographic duals of a family of Script N = 1* fixed points
journal, August 2006

  • Halmagyi, Nick; Pilch, Krzysztof; Römelsberger, Christian
  • Journal of High Energy Physics, Vol. 2006, Issue 08
  • DOI: 10.1088/1126-6708/2006/08/083

Some new extrema of the scalar potential of gauged N = 8 supergravity
journal, August 1983


An supersymmetric membrane flow
journal, May 2002


Superconformal Chern-Simons theories and AdS 4 /CFT 3 correspondence
journal, September 2008


Three-dimensional SCFTs, supersymmetric domain wall and renormalization group flow
journal, February 2001


Supersymmetric domain wall and RG flow from 4-dimensional gauged supergravity
journal, April 2001


Domain wall from gauged d=4, supergravity: part I
journal, July 2002


An supersymmetric G2-invariant flow in M-theory
journal, April 2002


The 11-dimensional metric for AdS/CFT RG flows with common SU(3) invariance
journal, December 2002


Domain wall from gauged d = 4, Script N = 8 supergravity. Part II
journal, November 2003


supersymmetric RG flows and the IIB dilaton
journal, January 2001


The enhancon and Script N = 2 gauge theory/gravity RG flows
journal, October 2000


A Dielectric Flow Solution with Maximal Supersymmetry
journal, April 2004


A harmonic family of dielectric flow solutions with maximal supersymmetry
journal, December 2004


Bubbling AdS space and 1/2 BPS geometries
journal, October 2004


Flowing to higher dimensions: a new strongly-coupled phase on M2 branes
journal, November 2015

  • Pilch, Krzysztof; Tyukov, Alexander; Warner, Nicholas P.
  • Journal of High Energy Physics, Vol. 2015, Issue 11
  • DOI: 10.1007/JHEP11(2015)170

Continuous distributions of D3-branes and gauged supergravity
journal, June 2000

  • Freedman, Daniel Z.; Gubser, Steven S.; Pilch, Krzysztof
  • Journal of High Energy Physics, Vol. 2000, Issue 07
  • DOI: 10.1088/1126-6708/2000/07/038

Holographic renormalization group flows: the view from ten dimensions
journal, August 2001


Curvature singularities: The good, the bad, and the naked
journal, January 2000


Holographic Coulomb branch flows with Script N = 1 supersymmetry
journal, March 2006


Novel local CFT and exact results on perturbations of N = 4 super Yang Mills from AdS dynamics
journal, December 1998


Non-supersymmetric conformal field theories from stable anti-de Sitter spaces
journal, January 1998

  • Distler, Jacques; Zamora, Frederic
  • Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 6
  • DOI: 10.4310/ATMP.1998.v2.n6.a6

Supersymmetric Janus solutions in four dimensions
journal, June 2014

  • Bobev, Nikolay; Pilch, Krzysztof; Warner, Nicholas P.
  • Journal of High Energy Physics, Vol. 2014, Issue 6
  • DOI: 10.1007/JHEP06(2014)058

N = 8 supergravity
journal, November 1982


Kaluza-Klein supergravity
journal, January 1986


The embedding of gauged N = 8 supergravity into d = 11 supergravity
journal, January 1985


d = 11 supergravity with local SU(8) invariance
journal, September 1986


The consistency of the S7 truncation in d=11 supergravity
journal, January 1987


Consistent truncation of d = 11 supergravity on AdS 4 × S 7
journal, March 2012

  • Nicolai, Hermann; Pilch, Krzysztof
  • Journal of High Energy Physics, Vol. 2012, Issue 3
  • DOI: 10.1007/JHEP03(2012)099

Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions
journal, May 2013

  • de Wit, Bernard; Nicolai, Hermann
  • Journal of High Energy Physics, Vol. 2013, Issue 5
  • DOI: 10.1007/JHEP05(2013)077

Generalised geometry from the ground up
journal, February 2014

  • Godazgar, Hadi; Godazgar, Mahdi; Nicolai, Hermann
  • Journal of High Energy Physics, Vol. 2014, Issue 2
  • DOI: 10.1007/JHEP02(2014)075

Supersymmetric E7(7) exceptional field theory
journal, September 2014

  • Godazgar, Hadi; Godazgar, Mahdi; Hohm, Olaf
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)044

Consistent 4-form fluxes for maximal supergravity
journal, October 2015

  • Godazgar, Hadi; Godazgar, Mahdi; Krüger, Olaf
  • Journal of High Energy Physics, Vol. 2015, Issue 10
  • DOI: 10.1007/JHEP10(2015)169

An SO(3)×SO(3) invariant solution of D = 11 supergravity
journal, January 2015

  • Godazgar, Hadi; Godazgar, Mahdi; Krüger, Olaf
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)056

A dilatonic deformation of AdS 5 and its field theory dual
journal, May 2003


Ten-dimensional supersymmetric Janus solutions
journal, November 2006


Exact half-BPS type IIB interface solutions I: local solution and supersymmetric Janus
journal, June 2007


Super Janus
journal, October 2005


Supersymmetric Janus solutions in five and ten dimensions
journal, September 2011


Exact half-BPS flux solutions in M-theory II: global solutions asymptotic to AdS 7 × S 4
journal, December 2008


Janus solutions in M-theory
journal, June 2009


M-theory solutions invariant under D(2,1; γ) ⊕ D(2,1;γ)
journal, February 2014


Embedding AdS black holes in ten and eleven dimensions
journal, October 1999


Holographic, 𝒩 = 1 supersymmetric RG flows on M2 branes
journal, September 2009


Supergravity instabilities of non-supersymmetric quantum critical points
journal, November 2010


Curved BPS domain wall solutions in five-dimensional gauged supergravity
journal, July 2001

  • Cardoso, Gabriel Lopes; Dall'Agata, Gianguido; Lüst, Dieter
  • Journal of High Energy Physics, Vol. 2001, Issue 07
  • DOI: 10.1088/1126-6708/2001/07/026

Curved BPS domain walls and RG flow in five dimensions
journal, March 2002

  • Cardoso, Gabriel Lopes; Dall'Agata, Gianguido; Lüst, Dieter
  • Journal of High Energy Physics, Vol. 2002, Issue 03
  • DOI: 10.1088/1126-6708/2002/03/044

Supersymmetric Solutions with Fluxes from Algebraic Killing Spinors
journal, January 2003

  • Gowdigere, Chethan N.; Nemeschansky, Dennis; Warner, Nicholas P.
  • Advances in Theoretical and Mathematical Physics, Vol. 7, Issue 5
  • DOI: 10.4310/ATMP.2003.v7.n5.a2

Supergravity microstates for BPS black holes and black rings
journal, June 2006


The holography of F -maximization
journal, March 2014

  • Freedman, Daniel Z.; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)135

IIB supergravity and the E6(6) covariant vector-tensor hierarchy
journal, April 2015

  • Ciceri, Franz; de Wit, Bernard; Varela, Oscar
  • Journal of High Energy Physics, Vol. 2015, Issue 4
  • DOI: 10.1007/JHEP04(2015)094

Global structure of five-dimensional fuzzballs
journal, December 2013


The parallelizing S7 torsion in gauged N=8 supergravity
journal, January 1984


Works referencing / citing this record: