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 |
|---|---|---|---|---|---|---|---|---|---|
| 58436 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3984 | 1.6199 | 0.8632 | [X:[1.2729], M:[0.9082, 0.9094], q:[0.469, 0.3361], qb:[0.6228, 0.3909], phi:[0.3635]] | [X:[[0, 4]], M:[[0, -16], [0, 6]], q:[[1, 15], [-2, -4]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1 | t^2.18 + t^2.58 + t^2.72 + t^2.73 + t^2.88 + t^3.27 + t^3.67 + t^3.82 + t^3.97 + 2*t^4.36 + t^4.37 + t^4.51 + 2*t^4.76 + 3*t^4.91 + 2*t^5.06 + t^5.16 + t^5.3 + t^5.31 + 3*t^5.45 + 3*t^5.46 + 2*t^5.6 + t^5.75 + 2*t^5.85 + t^6. + 2*t^6.15 + t^6.25 + t^6.3 + 2*t^6.4 + 4*t^6.54 + 3*t^6.55 + 3*t^6.7 + t^6.79 + t^6.84 + 4*t^6.94 + t^6.95 + 7*t^7.09 + 5*t^7.24 + 3*t^7.34 + t^7.39 + 5*t^7.49 + 3*t^7.63 + 7*t^7.64 + t^7.74 + 4*t^7.79 + t^7.88 + t^7.89 + 2*t^7.93 + 4*t^8.03 + 3*t^8.04 + t^8.17 + 8*t^8.18 + 7*t^8.33 + 2*t^8.43 + 4*t^8.48 + 2*t^8.58 + t^8.63 + 3*t^8.72 + 5*t^8.73 + t^8.83 + 5*t^8.88 + t^8.97 + 2*t^8.98 - t^4.09/y - t^5.18/y - t^6.27/y - t^6.67/y - (2*t^6.82)/y - t^6.97/y - t^7.36/y + t^8.3/y + t^8.31/y + t^8.46/y + (2*t^8.6)/y - t^4.09*y - t^5.18*y - t^6.27*y - t^6.67*y - 2*t^6.82*y - t^6.97*y - t^7.36*y + t^8.3*y + t^8.31*y + t^8.46*y + 2*t^8.6*y | t^2.18/g2^4 + g1^3*g2^15*t^2.58 + t^2.72/g2^16 + g2^6*t^2.73 + t^2.88/(g1^3*g2^3) + t^3.27/g2^6 + g1^3*g2^13*t^3.67 + g2^4*t^3.82 + t^3.97/(g1^3*g2^5) + (2*t^4.36)/g2^8 + g2^14*t^4.37 + (g2^5*t^4.51)/g1^3 + 2*g1^3*g2^11*t^4.76 + t^4.91/g2^20 + g2^2*t^4.91 + g2^24*t^4.91 + (2*t^5.06)/(g1^3*g2^7) + g1^6*g2^30*t^5.16 + (g1^3*t^5.3)/g2 + g1^3*g2^21*t^5.31 + t^5.45/g2^32 + (2*t^5.45)/g2^10 + 3*g2^12*t^5.46 + (2*g2^3*t^5.6)/g1^3 + t^5.75/(g1^6*g2^6) + 2*g1^3*g2^9*t^5.85 - t^6. + t^6./g2^22 + g2^22*t^6. + (2*t^6.15)/(g1^3*g2^9) + g1^6*g2^28*t^6.25 + t^6.3/(g1^6*g2^18) + (g1^3*t^6.4)/g2^3 + g1^3*g2^19*t^6.4 + (4*t^6.54)/g2^12 + 3*g2^10*t^6.55 + (3*g2*t^6.7)/g1^3 + (g1^6*t^6.79)/g2^6 + t^6.84/(g1^6*g2^8) + 4*g1^3*g2^7*t^6.94 + g1^3*g2^29*t^6.95 + (2*t^7.09)/g2^24 + t^7.09/g2^2 + 4*g2^20*t^7.09 + (4*t^7.24)/(g1^3*g2^11) + (g2^11*t^7.24)/g1^3 + 3*g1^6*g2^26*t^7.34 + (g2^2*t^7.39)/g1^6 + (2*g1^3*t^7.49)/g2^5 + g1^3*g2^17*t^7.49 + 2*g1^3*g2^39*t^7.49 + t^7.63/g2^36 + (2*t^7.63)/g2^14 + 6*g2^8*t^7.64 + g2^30*t^7.64 + g1^9*g2^45*t^7.74 + (3*t^7.79)/(g1^3*g2) + (g2^21*t^7.79)/g1^3 + g1^6*g2^14*t^7.88 + g1^6*g2^36*t^7.89 + (2*t^7.93)/(g1^6*g2^10) + 4*g1^3*g2^5*t^8.03 + 3*g1^3*g2^27*t^8.04 + t^8.17/g2^48 + (2*t^8.18)/g2^26 + 6*g2^18*t^8.18 + (4*t^8.33)/(g1^3*g2^13) + (3*g2^9*t^8.33)/g1^3 - g1^6*g2^2*t^8.43 + 3*g1^6*g2^24*t^8.43 + (3*t^8.48)/g1^6 + t^8.48/(g1^6*g2^22) + (2*g1^3*t^8.58)/g2^7 - 2*g1^3*g2^15*t^8.58 + 2*g1^3*g2^37*t^8.58 + t^8.63/(g1^9*g2^9) + t^8.72/g2^38 + (2*t^8.72)/g2^16 + 4*g2^6*t^8.73 + g2^28*t^8.73 + g1^9*g2^43*t^8.83 + (3*t^8.88)/(g1^3*g2^3) + (2*g2^19*t^8.88)/g1^3 + (g1^6*t^8.97)/g2^10 + g1^6*g2^12*t^8.98 + g1^6*g2^34*t^8.98 - t^4.09/(g2^2*y) - t^5.18/(g2^4*y) - t^6.27/(g2^6*y) - (g1^3*g2^13*t^6.67)/y - t^6.82/(g2^18*y) - (g2^4*t^6.82)/y - t^6.97/(g1^3*g2^5*y) - t^7.36/(g2^8*y) + (g1^3*t^8.3)/(g2*y) + (g1^3*g2^21*t^8.31)/y + (g2^12*t^8.46)/y + t^8.6/(g1^3*g2^19*y) + (g2^3*t^8.6)/(g1^3*y) - (t^4.09*y)/g2^2 - (t^5.18*y)/g2^4 - (t^6.27*y)/g2^6 - g1^3*g2^13*t^6.67*y - (t^6.82*y)/g2^18 - g2^4*t^6.82*y - (t^6.97*y)/(g1^3*g2^5) - (t^7.36*y)/g2^8 + (g1^3*t^8.3*y)/g2 + g1^3*g2^21*t^8.31*y + g2^12*t^8.46*y + (t^8.6*y)/(g1^3*g2^19) + (g2^3*t^8.6*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 61150 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4192 | 1.6609 | 0.8544 | [X:[1.273], M:[0.908, 0.9095, 0.676], q:[0.4687, 0.3371], qb:[0.6233, 0.3899], phi:[0.3635]] | t^2.03 + t^2.18 + t^2.58 + t^2.72 + t^2.73 + t^2.88 + t^3.27 + t^3.67 + t^3.82 + t^4.06 + t^4.21 + 2*t^4.36 + t^4.37 + t^4.52 + t^4.6 + t^4.75 + 3*t^4.76 + 4*t^4.91 + 2*t^5.06 + t^5.15 + 3*t^5.3 + 3*t^5.45 + 3*t^5.46 + 2*t^5.61 + t^5.69 + t^5.76 + 3*t^5.85 + t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | |
| 61043 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4069 | 1.6352 | 0.8604 | [X:[1.2695], M:[0.9221, 0.9042, 0.9042], q:[0.4579, 0.3358], qb:[0.62, 0.3947], phi:[0.3653]] | t^2.19 + t^2.56 + 2*t^2.71 + t^2.77 + t^2.87 + t^3.65 + t^3.81 + t^3.96 + t^4.33 + 2*t^4.38 + t^4.48 + 2*t^4.75 + t^4.85 + 2*t^4.9 + t^4.96 + 2*t^5.06 + t^5.12 + 2*t^5.27 + t^5.32 + 5*t^5.43 + 2*t^5.48 + t^5.53 + 3*t^5.58 + t^5.74 + t^5.85 + t^5.95 - 2*t^6. - t^4.1/y - t^5.19/y - t^4.1*y - t^5.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 57372 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4704 | 1.672 | 0.8794 | [X:[1.3641], M:[0.9043, 0.6854], q:[0.5119, 0.4822], qb:[0.5838, 0.5145], phi:[0.3179]] | t^2.056 + t^2.713 + t^2.861 + t^2.99 + t^3.079 + t^3.198 + t^4.033 + t^4.092 + t^4.112 + t^4.152 + t^4.241 + t^4.769 + t^4.898 + t^4.917 + t^4.987 + t^5.046 + t^5.105 + t^5.136 + t^5.195 + t^5.254 + t^5.383 + t^5.426 + t^5.472 + t^5.574 + t^5.703 + t^5.723 + t^5.792 + t^5.852 + t^5.941 + t^5.98 - 3*t^6. - t^3.954/y - t^4.908/y - t^3.954*y - t^4.908*y | detail |