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 |
|---|---|---|---|---|---|---|---|---|---|
| 46660 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6357 | 0.8295 | 0.7663 | [X:[], M:[0.9662, 0.843, 0.8985, 0.7754], q:[0.7415, 0.2923], qb:[0.4831, 0.4154], phi:[0.5169]] | [X:[], M:[[4], [-11], [12], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.12 + 2*t^2.33 + t^2.53 + 2*t^2.7 + t^2.9 + t^3.1 + t^3.67 + t^3.88 + t^4.04 + 2*t^4.25 + 3*t^4.45 + 4*t^4.65 + 2*t^4.82 + 2*t^4.86 + 5*t^5.02 + t^5.06 + 5*t^5.22 + 3*t^5.39 + 2*t^5.43 + 2*t^5.59 + 2*t^5.8 + t^6.17 + t^6.2 + 4*t^6.37 + t^6.41 + 5*t^6.57 + 2*t^6.74 + 5*t^6.78 + 4*t^6.94 + 5*t^6.98 + 7*t^7.14 + 3*t^7.18 + 8*t^7.35 + 2*t^7.38 + 3*t^7.51 + 6*t^7.55 + t^7.59 + 8*t^7.72 + 4*t^7.75 + 7*t^7.92 + 5*t^8.09 + t^8.12 + 5*t^8.29 - 3*t^8.33 + 6*t^8.49 - 3*t^8.53 + 2*t^8.7 + 2*t^8.86 + 2*t^8.9 + t^8.93 - t^4.55/y - t^6.88/y - t^7.08/y - t^7.25/y + (2*t^7.45)/y + (2*t^7.65)/y + (2*t^7.82)/y + (3*t^7.86)/y + (6*t^8.02)/y + (6*t^8.22)/y + t^8.39/y + (3*t^8.43)/y + (2*t^8.59)/y + t^8.63/y + (3*t^8.8)/y - t^4.55*y - t^6.88*y - t^7.08*y - t^7.25*y + 2*t^7.45*y + 2*t^7.65*y + 2*t^7.82*y + 3*t^7.86*y + 6*t^8.02*y + 6*t^8.22*y + t^8.39*y + 3*t^8.43*y + 2*t^8.59*y + t^8.63*y + 3*t^8.8*y | g1^5*t^2.12 + (2*t^2.33)/g1^3 + t^2.53/g1^11 + 2*g1^12*t^2.7 + g1^4*t^2.9 + t^3.1/g1^4 + g1^3*t^3.67 + t^3.88/g1^5 + g1^18*t^4.04 + 2*g1^10*t^4.25 + 3*g1^2*t^4.45 + (4*t^4.65)/g1^6 + 2*g1^17*t^4.82 + (2*t^4.86)/g1^14 + 5*g1^9*t^5.02 + t^5.06/g1^22 + 5*g1*t^5.22 + 3*g1^24*t^5.39 + (2*t^5.43)/g1^7 + 2*g1^16*t^5.59 + 2*g1^8*t^5.8 + g1^23*t^6.17 + t^6.2/g1^8 + 4*g1^15*t^6.37 + t^6.41/g1^16 + 5*g1^7*t^6.57 + 2*g1^30*t^6.74 + (5*t^6.78)/g1 + 4*g1^22*t^6.94 + (5*t^6.98)/g1^9 + 7*g1^14*t^7.14 + (3*t^7.18)/g1^17 + 8*g1^6*t^7.35 + (2*t^7.38)/g1^25 + 3*g1^29*t^7.51 + (6*t^7.55)/g1^2 + t^7.59/g1^33 + 8*g1^21*t^7.72 + (4*t^7.75)/g1^10 + 7*g1^13*t^7.92 + 5*g1^36*t^8.09 + g1^5*t^8.12 + 5*g1^28*t^8.29 - (3*t^8.33)/g1^3 + 6*g1^20*t^8.49 - (3*t^8.53)/g1^11 + 2*g1^12*t^8.7 + 2*g1^35*t^8.86 + 2*g1^4*t^8.9 + t^8.93/g1^27 - t^4.55/(g1^2*y) - t^6.88/(g1^5*y) - t^7.08/(g1^13*y) - (g1^10*t^7.25)/y + (2*g1^2*t^7.45)/y + (2*t^7.65)/(g1^6*y) + (2*g1^17*t^7.82)/y + (3*t^7.86)/(g1^14*y) + (6*g1^9*t^8.02)/y + (6*g1*t^8.22)/y + (g1^24*t^8.39)/y + (3*t^8.43)/(g1^7*y) + (2*g1^16*t^8.59)/y + t^8.63/(g1^15*y) + (3*g1^8*t^8.8)/y - (t^4.55*y)/g1^2 - (t^6.88*y)/g1^5 - (t^7.08*y)/g1^13 - g1^10*t^7.25*y + 2*g1^2*t^7.45*y + (2*t^7.65*y)/g1^6 + 2*g1^17*t^7.82*y + (3*t^7.86*y)/g1^14 + 6*g1^9*t^8.02*y + 6*g1*t^8.22*y + g1^24*t^8.39*y + (3*t^8.43*y)/g1^7 + 2*g1^16*t^8.59*y + (t^8.63*y)/g1^15 + 3*g1^8*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 47274 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6327 | 0.8239 | 0.768 | [X:[], M:[0.9706, 0.8307, 0.9119, 0.772, 1.0294], q:[0.7427, 0.2867], qb:[0.4853, 0.4266], phi:[0.5147]] | t^2.14 + 2*t^2.32 + t^2.49 + 2*t^2.74 + 2*t^3.09 + t^3.68 + t^3.86 + t^4.1 + 2*t^4.28 + 3*t^4.46 + 4*t^4.63 + 2*t^4.81 + 2*t^4.88 + t^4.98 + 4*t^5.05 + 4*t^5.23 + 3*t^5.4 + 3*t^5.47 + t^5.58 + 3*t^5.82 - t^6. - t^4.54/y - t^4.54*y | detail | |
| 47166 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6536 | 0.8612 | 0.7589 | [X:[], M:[0.968, 0.838, 0.904, 0.774, 0.774], q:[0.742, 0.29], qb:[0.484, 0.42], phi:[0.516]] | t^2.13 + 3*t^2.32 + t^2.51 + 2*t^2.71 + t^2.9 + t^3.1 + t^3.87 + t^4.07 + 2*t^4.26 + 4*t^4.45 + 7*t^4.64 + 5*t^4.84 + 8*t^5.03 + 6*t^5.23 + 6*t^5.42 + 2*t^5.62 + t^5.81 - 2*t^6. - t^4.55/y - t^4.55*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46190 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ | 0.6178 | 0.7981 | 0.7742 | [X:[], M:[0.9643, 0.8481, 0.893], q:[0.7411, 0.2946], qb:[0.4822, 0.4108], phi:[0.5178]] | t^2.12 + t^2.33 + t^2.54 + 2*t^2.68 + t^2.89 + t^3.11 + 2*t^3.67 + t^3.88 + t^4.02 + 2*t^4.23 + 2*t^4.45 + 2*t^4.66 + 2*t^4.8 + t^4.87 + 3*t^5.01 + t^5.09 + 4*t^5.22 + 3*t^5.36 + t^5.44 + 2*t^5.57 + 3*t^5.79 - t^4.55/y - t^4.55*y | detail |