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

1996 ◽  
Vol 123 ◽  
pp. 397-410 ◽  
Author(s):  
Ahmed Hindawi ◽  
Burt A. Ovrut ◽  
Daniel Waldram
Keyword(s):  
Supersymmetry Breaking ◽  
Four Dimensions ◽  
Higher Derivative

scholarly journals A NOTE ON SUPERSYMMETRIC WZW TERM IN FOUR DIMENSIONS

2000 ◽  
Vol 15 (38n39) ◽  
pp. 2327-2333 ◽  
Author(s):  
MUNETO NITTA
Keyword(s):  
Equations Of Motion ◽  
Total Derivative ◽  
Four Dimensions ◽  
Anomalous Term ◽  
Higher Derivative ◽  
Derivative Term ◽  
Chiral Superfields

We reconsider the supersymmetric Wess–Zumino–Witten (SWZW) term in four dimensions. It has been known that the manifestly supersymmetric form of the SWZW term includes derivative terms on auxiliary fields, the highest components of chiral superfields, and then we cannot eliminate them by their equations of motion. We discuss a possibility for the elimination of such derivative terms by adding total derivative terms. Although most of the derivative terms can be eliminated in this way, we find that all the derivative terms can be canceled, if and only if an anomalous term in SWZW term vanishes. As a by-product, we find the first example of a higher derivative term free from such problem.

scholarly journals GAUGINO CONDENSATION IN THE CHIRAL AND LINEAR REPRESENTATIONS OF THE DILATON

1995 ◽  
Vol 10 (19) ◽  
pp. 2769-2781 ◽  
Author(s):  
INGO GAIDA ◽  
DIETER LÜST
Keyword(s):  
Supersymmetry Breaking ◽  
Linear Representation ◽  
Four Dimensions ◽  
Linear Representations ◽  
The Subject ◽  
Effective Theories ◽  
Made In ◽  
Chiral Representation

String effective theories with N=1 supersymmetry in four dimensions are the subject of this discussion. Gaugino condensation in the chiral representation of the dilaton is reviewed in the truncated formalism in the UK(1) superspace. By the use of the supersymmetric duality of the dilaton the same investigation is made in the linear representation of the dilaton. We show that for the simple case of one gaugino condensate the results concerning supersymmetry breaking are independent of the representation of the dilaton.

scholarly journals Four-dimensional higher-derivative supergravity and spontaneous supersymmetry breaking

1996 ◽  
Vol 476 (1-2) ◽  
pp. 175-199 ◽  
Author(s):  
Ahmed Hindawi ◽  
Burt A. Ovrut ◽  
Daniel Waldram
Keyword(s):  
Supersymmetry Breaking ◽  
Higher Derivative

scholarly journals Revisiting the multi-monopole point of SU(N) $$ \mathcal{N} $$ = 2 gauge theory in four dimensions

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Eric D’Hoker ◽  
Thomas T. Dumitrescu ◽  
Efrat Gerchkovitz ◽  
Emily Nardoni
Keyword(s):  
Gauge Theory ◽  
Supersymmetry Breaking ◽  
Integrable Systems ◽  
Gauge Theories ◽  
Magnetic Monopoles ◽  
Coulomb Branch ◽  
Four Dimensions ◽  
Broad Agreement ◽  
Exact Agreement ◽  
Soft Supersymmetry Breaking

Abstract Motivated by applications to soft supersymmetry breaking, we revisit the expansion of the Seiberg-Witten solution around the multi-monopole point on the Coulomb branch of pure SU(N) $$ \mathcal{N} $$ N = 2 gauge theory in four dimensions. At this point N − 1 mutually local magnetic monopoles become massless simultaneously, and in a suitable duality frame the gauge couplings logarithmically run to zero. We explicitly calculate the leading threshold corrections to this logarithmic running from the Seiberg-Witten solution by adapting a method previously introduced by D’Hoker and Phong. We compare our computation to existing results in the literature; this includes results specific to SU(2) and SU(3) gauge theories, the large-N results of Douglas and Shenker, as well as results obtained by appealing to integrable systems or topological strings. We find broad agreement, while also clarifying some lingering inconsistencies. Finally, we explicitly extend the results of Douglas and Shenker to finite N , finding exact agreement with our first calculation.

THOUGHTS ON THE AREA THEOREM

2009 ◽  
Vol 24 (16n17) ◽  
pp. 3111-3135 ◽  
Author(s):  
MU-IN PARK
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Three Dimensional ◽  
Kerr Black Hole ◽  
Second Law Of Thermodynamics ◽  
Positive Energy ◽  
Btz Black Hole ◽  
Area Theorem ◽  
Four Dimensions ◽  
Higher Derivative

Hawking's area theorem can be understood from a quasistationary process in which a black hole accretes positive energy matter, independent of the details of the gravity action. I use this process to study the dynamics of the inner as well as the outer horizons for various black holes which include the recently discovered exotic black holes and three-dimensional black holes in higher derivative gravities as well as the usual Banados–Teitelboim–Zanelli (BTZ) black hole and the Kerr black hole in four dimensions. I find that the area for the inner horizon "can decrease," rather than increase, with the quasistationary process. However, I find that the area for the outer horizon "never decrease" such as the usual area theorem still works in our examples, though this is quite nontrivial in general. I also find that the recently proposed new entropy formulae for the above mentioned, recently discovered black holes satisfy the second law of thermodynamics.

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