Loop Corrections to the Universal Hypermultiplet

Andrew Strominger

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Loop Corrections to the Universal Hypermultiplet

Andrew Strominger

High Energy Physics - Theory · Submitted 26 Jun 1997

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that this moduli space receives a one-loop correction proportional to the Euler character of the Calabi-Yau, which can locally be absorbed by a certain constant shift of the fields.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.39 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.28 · compares with prior results 0.19 · mentions code or data availability 0.01.

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The universal hypermultiplet arises as a subsector of every Calabi-Yau compactification of M-theory or Type II string theory. Classically its moduli space is the quaternionic space $SU(2,1)/U(2)$. We show that this moduli space receives a one-loop correction proportional to the Euler character of the Calabi-Yau, which can locally be absorbed by a certain constant shift of the fields. The correction vanishes in the limit that the Planck mass is taken to infinity, and hence is essentially gravitational in nature.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The universal hypermultiplet arises as a subsector of every Calabi-Yau compactification of M-theory or Type II string theory.	background 1.00	0.06	0.03	asserted 1.00
s1	Classically its moduli space is the quaternionic space $SU(2,1)/U(2)$.	background 1.00	0.05	0.03	asserted 1.00
s2	We show that this moduli space receives a one-loop correction proportional to the Euler character of the Calabi-Yau, which can locally be absorbed by a certain constant shift of the fields.	result 0.97	0.95	0.88	asserted 1.00
s3	The correction vanishes in the limit that the Planck mass is taken to infinity, and hence is essentially gravitational in nature.	interpretation 0.93	0.74	0.10	asserted 0.96

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The paper

Original abstract

The universal hypermultiplet arises as a subsector of every Calabi-Yau compactification of M-theory or Type II string theory. Classically its moduli space is the quaternionic space $SU(2,1)/U(2)$. We show that this moduli space receives a one-loop correction proportional to the Euler character of the Calabi-Yau, which can locally be absorbed by a certain constant shift of the fields. The correction vanishes in the limit that the Planck mass is taken to infinity, and hence is essentially gravitational in nature.

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References

Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Quantum corrections to DGKT and the Weak Gravity Conjecture
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Quantum corrections from gaugino condensation and D2 instantons lift the DGKT D4-brane moduli space, making the branes self-attractive and putting the vacuum in tension with the membrane WGC.
Consistent supersymmetric Kaluza--Klein truncations with massive modes
hep-th 2009-01 accept novelty 7.0 of 10

A consistent Kaluza-Klein reduction of D=11 supergravity on any Sasaki-Einstein seven-manifold is extended to include the massive breathing-mode multiplet while preserving N=2 supersymmetry at the bosonic level.
Membrane and fivebrane instantons and quaternonic geometry
hep-th 2006-03 conditional novelty 7.0 of 10

The paper derives fivebrane and membrane instanton corrections to the universal hypermultiplet moduli space metric in type IIA string theory, using instanton calculus and Toda equation solutions.
Constructing Lifshitz solutions from AdS
hep-th 2011-02 accept novelty 6.0 of 10

Circle reduction with axion flux turns any AdS vacuum of a (d+1)-dimensional gravity theory into a z=2 Lifshitz solution in d dimensions, and N=2 AdS5 vacua yield 1/4-BPS Lifshitz4 backgrounds.
Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
hep-th 2002-04 accept novelty 6.0 of 10

Alpha'^3 corrections generate a scalar potential term proportional to the Euler number of the Calabi-Yau threefold, spoiling the classical no-scale structure of flux compactifications and making the potential depend o...

Show 2 more citing papers

Twistor Approach to String Compactifications: a Review
hep-th 2011-11 conditional novelty 5.0 of 10

D-brane and NS5-brane instanton corrections to the hypermultiplet moduli space of type II Calabi-Yau compactifications can be encoded as holomorphic transition functions on a twistor space, with S-duality, mirror symm...
Inflation and String Theory
hep-th 2014-04 accept novelty 1.0 of 10

A survey arguing that inflation is ultraviolet-sensitive and therefore requires a quantum gravity completion, then cataloguing the string theory constructions that attempt to provide one.

How the literature uses it

26 arXiv papers cite this in 29 sentences

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Papers citing it · 16 sentences without a confident label

Compares with it 1 paper

This solution coincides with the SM5-brane found by Strominger and Gutperle in [ref] [In [ref] they were dealing with a hyperbolic internal space so there was an additional $sinh$-function in the transverse spacetime.].

Arithmetic and Hyperbolic Structures in String Theory · Cosmological Solutions With Magnetic Flux · 0.98

Cites it as background 12 papers

Furthermore, even with the knowledge of the full string spectrum in toroidal orientifolds, one must perform extremely daunting computations to obtain the open string one-loop correction to the Kähler potential [ref] .[In the context of 4d $𝒩=2$ compactifications, by pioneering works it is known that the loop corrections to the Kähler potential are determined by the Witten index of the Calabi-Yau CFT in type II string theories [ref] , and the K3 BPS indices in heterotic string theory and type I string theory [ref] .

On one-loop corrected dilaton action in string theory · Introduction · 0.83
At the perturbative level, the metric on $M_H$ is believed to receive a one-loop correction, but no higher loop corrections [ref] .

Instanton Corrections to the Universal Hypermultiplet and Automorphic Forms on SU(2,1) · Quantum Corrected Hypermultiplet Moduli Spaces in type IIA · 0.85
The vanishing of the Hodge number implies that the HM sector of type IIA string theory compactified on $$ consists only from one hypermultiplet, appearing in the literature under the name of the universal hypermultiplet [ref] .

Hypermultiplet metric and D-instantons · Tod ansatz · 0.80

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