Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
859 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.5911 | 0.7501 | 0.788 | [M:[0.9703, 1.0891, 0.9703, 0.7426, 1.2574], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] | [M:[[4], [-12], [4], [1], [-1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | 2*t^2.228 + 2*t^2.911 + 2*t^3.267 + 2*t^3.594 + 2*t^3.772 + 3*t^4.277 + 3*t^4.455 + 4*t^5.139 + 2*t^5.495 + 6*t^5.822 - 2*t^6. + 2*t^6.178 + 6*t^6.505 + 3*t^6.534 + 4*t^6.683 + 2*t^7.04 + 6*t^7.188 + 5*t^7.366 + t^7.545 + 2*t^7.723 + 4*t^7.871 + 10*t^8.05 - 6*t^8.228 + 5*t^8.555 + 11*t^8.733 + 2*t^8.762 - 6*t^8.911 - t^4.545/y + t^7.277/y + t^7.634/y - t^7.812/y + (4*t^8.139)/y + (4*t^8.495)/y + (5*t^8.822)/y - t^4.545*y + t^7.277*y + t^7.634*y - t^7.812*y + 4*t^8.139*y + 4*t^8.495*y + 5*t^8.822*y | 2*g1*t^2.228 + 2*g1^4*t^2.911 + (2*t^3.267)/g1^12 + 2*g1^7*t^3.594 + (2*t^3.772)/g1 + 3*g1^10*t^4.277 + 3*g1^2*t^4.455 + 4*g1^5*t^5.139 + (2*t^5.495)/g1^11 + 6*g1^8*t^5.822 - 2*t^6. + (2*t^6.178)/g1^8 + 6*g1^11*t^6.505 + (3*t^6.534)/g1^24 + 4*g1^3*t^6.683 + (2*t^7.04)/g1^13 + 6*g1^14*t^7.188 + 5*g1^6*t^7.366 + t^7.545/g1^2 + (2*t^7.723)/g1^10 + 4*g1^17*t^7.871 + 10*g1^9*t^8.05 - 6*g1*t^8.228 + 5*g1^20*t^8.555 + 11*g1^12*t^8.733 + (2*t^8.762)/g1^23 - 6*g1^4*t^8.911 - t^4.545/(g1^2*y) + (g1^10*t^7.277)/y + t^7.634/(g1^6*y) - t^7.812/(g1^14*y) + (4*g1^5*t^8.139)/y + (4*t^8.495)/(g1^11*y) + (5*g1^8*t^8.822)/y - (t^4.545*y)/g1^2 + g1^10*t^7.277*y + (t^7.634*y)/g1^6 - (t^7.812*y)/g1^14 + 4*g1^5*t^8.139*y + (4*t^8.495*y)/g1^11 + 5*g1^8*t^8.822*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
2040 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6079 | 0.7795 | 0.7799 | [M:[0.9787, 1.0638, 0.9787, 0.7447, 1.2553, 0.7872], q:[0.7447, 0.2766], qb:[0.4681, 0.4681], phi:[0.5106]] | 2*t^2.234 + t^2.362 + 2*t^2.936 + 2*t^3.192 + t^3.638 + 2*t^3.766 + 3*t^4.34 + 3*t^4.468 + 2*t^4.596 + t^4.723 + 4*t^5.17 + 2*t^5.298 + 2*t^5.426 + 2*t^5.553 + 4*t^5.872 - t^6. - t^4.532/y - t^4.532*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
547 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6104 | 0.7857 | 0.777 | [M:[0.9695, 1.0916, 0.9695, 0.7424], q:[0.7424, 0.2881], qb:[0.4542, 0.4542], phi:[0.5153]] | 3*t^2.227 + 2*t^2.908 + 2*t^3.275 + 2*t^3.59 + t^3.773 + 3*t^4.271 + 6*t^4.454 + 6*t^5.136 + 4*t^5.502 + 8*t^5.817 - 3*t^6. - t^4.546/y - t^4.546*y | detail |