Supersymmetric calculation of mixed Kähler-gauge and mixed Kähler-Lorentz anomalies

Cardoso, Gabriel Lopes; Ovrut, Burt A.

doi:10.1016/0550-3213(94)90530-4

Cited by 23 publications

(35 citation statements)

References 29 publications

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“…Using this Lagrangian, we now compute the one-loop moduli-gravity-gravity anomalous threshold correction [8]. This must actually be carried out in the conventional (string frame) superspace formalism and then transformed to Kähler superspace [9]. We also compute the relevant superGreen-Schwarz graphs.…”

Section: Superspace Formalismmentioning

confidence: 99%

Higher-Derivative Gravitation and a New Mechanism for Supersymmetry Breaking in Four-Dimensions

Hindawi¹,

Ovrut²,

Waldram³

1996

Prog. Theor. Phys. Suppl.

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A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of auxiliary fields. As a by-product we present a consistent non-linear coupling of a spin-2 tensor to gravitation. It is shown that non-vanishing (C~""'"'13) 2 terms arise inN= 1, D = 4 superstring Lagrangians due to one-loop radiative corrections with light-field internal lines. We discuss the general form of quadratic (1, I) supergravity in two dimensions, and show that this theory is equivalent to two scalar supermultiplets coupled to the usual Einstein supergravity. It is demonstrated that the theory possesses stable vacua with vanishing cosmological constant which spontaneously break supersymmetry. We then generalize this result to N = 1 supergravity in four dimensions. Specifically, we demonstrate that a class of higher derivative supergravity theories is equivalent to two chiral supermultiplets coupled in a specific way to Einstein supergravity. These theories are shown to possess stable vacuum states with vanishing cosmological constant which spontaneously break the N = 1 supersymmetry. ( )2 £ = -2 R + aRb C 11 va,B + cGB.

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Section: Superspace Formalismmentioning

confidence: 99%

Higher-Derivative Gravitation and a New Mechanism for Supersymmetry Breaking in Four-Dimensions

Hindawi¹,

Ovrut²,

Waldram³

1996

Prog. Theor. Phys. Suppl.

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“…(2), on the dilaton field. Note that in the case of Z 3 and Z 7 orbifolds the moduli-dependent part of ∆ a vanishes, and therefore it cannot contribute to the cancellation of the anomaly; the cancellation comes entirely from the variation of S; so, in [29].…”

Section: The Loop-corrected Four-derivatives Termmentioning

confidence: 99%

“…String loop corrections have been much studied in the literature, especially for Z N orbifold compactifications of the heterotic string [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34], and we can therefore ask whether, at least in some compactification scheme, they fulfill the non-trivial properties needed for a graceful exit. In particular, corrections to the Kähler potential are known at all loops; this will be very important for our analysis, since in order to follow the cosmological evolution into the strong coupling regime, a knowledge of the first few terms of the perturbative expansion is not really sufficient, and one must have at least some glimpse into the structure at all loops.…”

Section: Introductionmentioning

confidence: 99%

Loop corrections and graceful exit in string cosmology

1999

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We examine the effect of perturbative string loops on the cosmological pre-big-bang evolution. We study loop corrections derived from heterotic string theory compactified on a Z N orbifold and we consider the effect of the all-order loop corrections to the Kähler potential and of the corrections to gravitational couplings, including both threshold corrections and corrections due to the mixed Kähler-gravitational anomaly. We find that string loops can drive the evolution into the region of the parameter space where a graceful exit is in principle possible, and we find solutions that, in the string frame, connect smoothly the superinflationary pre-big-bang evolution to a phase where the curvature and the derivative of the dilaton are decreasing. We also find that at a critical coupling the loop corrections to the Kähler potential induce a ghost-like instability, i.e. the kinetic term of the dilaton vanishes. This is similar to what happens in Seiberg-Witten theory and signals the transition to a new regime where the light modes in the effective action are different and are related to the original ones by S-duality. In a string context, this means that we enter a D-brane dominated phase.

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“…So the simplest way to see how this is obtained is to follow the argument given in subsection (2.2) above. However these authors use instead (a modified version) of the non-local anomaly action of [14].…”

Section: The Bagger Poppitz Moroi Calculation [6]mentioning

confidence: 99%

“…In [6] it is stated that the effective action must reflect separately the anomalies under separate Weyl and Kähler transformations (unlike the one in [14]) and indeed theirs does that. However it is non-local and not generally covariant.…”

Section: The Bagger Poppitz Moroi Calculation [6]mentioning

confidence: 99%

AMSB and the logic of spontaneous SUSY breaking

Alwis

2013

J. High Energ. Phys.

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A cardinal principle of any theory of spontaneous (N = 1) supersymmetry breaking, is that the order parameter is a linear combination of the F and D terms. Also as long as the supersymmetry of the action is preserved at the quantum level, this principle should be valid after the appropriate corrections are incorporated into the Kähler potential, the superpotential, and the gauge coupling functions that define the theory. The claim that in AMSB there is an extra term for the gaugino mass that is proportional to the gravitino mass, is then equivalent to the statement that quantum effects cause an explicit breaking of (local) SUSY. Expanding on previous work, we argue that this arises from confusing the scalar compensator with the density compensator. We also comment on various recent papers on AMSB. † dealwiss@colorado.edu 1

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Supersymmetric calculation of mixed Kähler-gauge and mixed Kähler-Lorentz anomalies

Cited by 23 publications

References 29 publications

Higher-Derivative Gravitation and a New Mechanism for Supersymmetry Breaking in Four-Dimensions

Higher-Derivative Gravitation and a New Mechanism for Supersymmetry Breaking in Four-Dimensions

Loop corrections and graceful exit in string cosmology

AMSB and the logic of spontaneous SUSY breaking

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