Euclidean flows, solitons, and wormholes in AdS space from M-theory

Multiparametric families of nonsupersymmetric <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mrow> <msub> <mrow> <mi>EAdS</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> </mrow> </math> flows as well as asymptotically <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mrow> <msub> <mrow> <mi>EAdS</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> </mrow> </math> solitons and wormholes are constructed within the four-dimensional SO(8) gauged supergravity that describes the compactification of M-theory on <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <msup> <mi>S</mi> <mn>7</mn> </msup> </math> . More concretely, the solutions are found within the so-called STU model that describes the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mi mathvariant="normal">U</mi> <mo stretchy="false">(</mo> <mn>1</mn> <msup> <mo stretchy="false">)</mo> <mn>4</mn> </msup> </math> invariant sector of the theory. The on-shell action and gravitational free energy are computed for the regular solutions, the latter being zero for the wormholes irrespective of supersymmetry. There are special loci in parameter space yielding solutions with enhanced (super)symmetry. Examples include a supersymmetric <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mrow> <msub> <mrow> <mi>EAdS</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> </mrow> </math> flow with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mrow> <mi>SO</mi> <mo stretchy="false">(</mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>×</mo> <mi>SO</mi> <mo stretchy="false">(</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mrow> </math> symmetry dual to a specific real mass deformation of ABJM on <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mrow> <msup> <mrow> <mi mathvariant="normal">S</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> </math> as well as a nonsupersymmetric wormhole with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mrow> <mi>SU</mi> <mo stretchy="false">(</mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>×</mo> <mi mathvariant="normal">U</mi> <mo stretchy="false">(</mo> <mn>1</mn> <msup> <mrow> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </math> symmetry. Uplift formulas for these and other examples to Euclidean solutions of 11-dimensional supergravity are presented and their complex nature discussed. Published by the American Physical Society 2024