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 |
|---|---|---|---|---|---|---|---|---|---|
| 639 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6508 | 0.8317 | 0.7826 | [M:[1.2136, 1.1068, 0.7864, 0.7864, 0.7136], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]] | [M:[[2], [1], [-2], [-2], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0 | t^2.141 + 2*t^2.359 + t^2.461 + t^3. + 2*t^3.32 + t^3.539 + t^3.641 + t^3.961 + t^4.078 + t^4.18 + 2*t^4.281 + 2*t^4.5 + t^4.602 + 3*t^4.719 + 2*t^4.82 + t^4.922 + t^5.141 + 2*t^5.359 + 3*t^5.461 + 4*t^5.68 + 2*t^5.781 + t^5.898 + t^6.102 + 2*t^6.32 + 3*t^6.422 + 2*t^6.437 + 2*t^6.539 + 6*t^6.641 + 2*t^6.742 + 3*t^6.859 + 3*t^6.961 + t^7.063 + 5*t^7.078 + t^7.18 + 4*t^7.281 + t^7.383 + t^7.5 + 4*t^7.602 + t^7.617 + 2*t^7.719 + 4*t^7.82 + 4*t^7.922 + 4*t^8.039 + t^8.156 + 3*t^8.242 + 2*t^8.258 - t^8.359 + t^8.461 + 4*t^8.563 + t^8.68 + 6*t^8.781 + 3*t^8.797 + 3*t^8.883 + 2*t^8.898 - t^4.5/y - t^6.641/y - t^6.859/y + t^7.18/y + (2*t^7.5)/y + t^7.602/y + t^7.719/y + t^7.82/y + (2*t^8.141)/y + (3*t^8.359)/y + (3*t^8.461)/y + (5*t^8.68)/y + (2*t^8.781)/y + (2*t^8.898)/y - t^4.5*y - t^6.641*y - t^6.859*y + t^7.18*y + 2*t^7.5*y + t^7.602*y + t^7.719*y + t^7.82*y + 2*t^8.141*y + 3*t^8.359*y + 3*t^8.461*y + 5*t^8.68*y + 2*t^8.781*y + 2*t^8.898*y | g1^2*t^2.141 + (2*t^2.359)/g1^2 + g1^3*t^2.461 + t^3. + 2*g1*t^3.32 + t^3.539/g1^3 + g1^2*t^3.641 + g1^3*t^3.961 + t^4.078/g1^6 + t^4.18/g1 + 2*g1^4*t^4.281 + 2*t^4.5 + g1^5*t^4.602 + (3*t^4.719)/g1^4 + 2*g1*t^4.82 + g1^6*t^4.922 + g1^2*t^5.141 + (2*t^5.359)/g1^2 + 3*g1^3*t^5.461 + (4*t^5.68)/g1 + 2*g1^4*t^5.781 + t^5.898/g1^5 + g1^5*t^6.102 + 2*g1*t^6.32 + 3*g1^6*t^6.422 + (2*t^6.437)/g1^8 + (2*t^6.539)/g1^3 + 6*g1^2*t^6.641 + 2*g1^7*t^6.742 + (3*t^6.859)/g1^2 + 3*g1^3*t^6.961 + g1^8*t^7.063 + (5*t^7.078)/g1^6 + t^7.18/g1 + 4*g1^4*t^7.281 + g1^9*t^7.383 + t^7.5 + 4*g1^5*t^7.602 + t^7.617/g1^9 + (2*t^7.719)/g1^4 + 4*g1*t^7.82 + 4*g1^6*t^7.922 + (4*t^8.039)/g1^3 + t^8.156/g1^12 + 3*g1^7*t^8.242 + (2*t^8.258)/g1^7 - t^8.359/g1^2 + g1^3*t^8.461 + 4*g1^8*t^8.563 + t^8.68/g1 + 6*g1^4*t^8.781 + (3*t^8.797)/g1^10 + 3*g1^9*t^8.883 + (2*t^8.898)/g1^5 - t^4.5/y - (g1^2*t^6.641)/y - t^6.859/(g1^2*y) + t^7.18/(g1*y) + (2*t^7.5)/y + (g1^5*t^7.602)/y + t^7.719/(g1^4*y) + (g1*t^7.82)/y + (2*g1^2*t^8.141)/y + (3*t^8.359)/(g1^2*y) + (3*g1^3*t^8.461)/y + (5*t^8.68)/(g1*y) + (2*g1^4*t^8.781)/y + (2*t^8.898)/(g1^5*y) - t^4.5*y - g1^2*t^6.641*y - (t^6.859*y)/g1^2 + (t^7.18*y)/g1 + 2*t^7.5*y + g1^5*t^7.602*y + (t^7.719*y)/g1^4 + g1*t^7.82*y + 2*g1^2*t^8.141*y + (3*t^8.359*y)/g1^2 + 3*g1^3*t^8.461*y + (5*t^8.68*y)/g1 + 2*g1^4*t^8.781*y + (2*t^8.898*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1021 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6716 | 0.8726 | 0.7697 | [M:[1.2148, 1.1074, 0.7852, 0.7852, 0.7148, 0.6778], q:[0.75, 0.4278], qb:[0.3574, 0.4648], phi:[0.5]] | t^2.033 + t^2.144 + 2*t^2.356 + t^2.467 + t^3. + 2*t^3.322 + t^3.533 + t^3.644 + 2*t^4.067 + 2*t^4.178 + 2*t^4.289 + 2*t^4.389 + 3*t^4.5 + t^4.611 + 3*t^4.711 + 2*t^4.822 + t^4.933 + t^5.033 + t^5.144 + 4*t^5.356 + 3*t^5.467 + t^5.567 + 5*t^5.678 + 2*t^5.789 + t^5.889 - t^4.5/y - t^4.5*y | detail | |
| 1971 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6683 | 0.8627 | 0.7747 | [M:[1.2206, 1.1103, 0.7794, 0.7794, 0.7206, 0.7794], q:[0.75, 0.4191], qb:[0.3603, 0.4706], phi:[0.5]] | t^2.162 + 3*t^2.338 + t^2.493 + t^3. + 2*t^3.331 + t^3.507 + t^3.993 + t^4.015 + t^4.169 + 2*t^4.323 + 3*t^4.5 + t^4.654 + 6*t^4.677 + 3*t^4.831 + t^4.985 + t^5.162 + 3*t^5.338 + 3*t^5.493 + 6*t^5.669 + t^5.823 + 2*t^5.846 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 1017 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6364 | 0.8069 | 0.7887 | [M:[1.228, 1.114, 0.772, 0.772, 0.728, 1.158], q:[0.75, 0.408], qb:[0.364, 0.478], phi:[0.5]] | t^2.184 + 2*t^2.316 + t^3. + 2*t^3.342 + 2*t^3.474 + t^3.684 + t^3.948 + t^4.026 + t^4.158 + 2*t^4.368 + 2*t^4.5 + 3*t^4.632 + t^5.184 + 2*t^5.316 + 2*t^5.526 + 5*t^5.658 + 3*t^5.79 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 396 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ | 0.6306 | 0.7937 | 0.7946 | [M:[1.2171, 1.1085, 0.7829, 0.7829], q:[0.75, 0.4244], qb:[0.3585, 0.4671], phi:[0.5]] | 2*t^2.349 + t^2.477 + t^3. + 2*t^3.326 + t^3.523 + t^3.651 + t^3.849 + t^3.977 + t^4.047 + t^4.174 + t^4.302 + 3*t^4.698 + 2*t^4.826 + t^4.953 + 2*t^5.349 + t^5.477 + 3*t^5.674 + t^5.802 + t^5.872 - t^4.5/y - t^4.5*y | detail | {a: 895529/1420032, c: 1127041/1420032, M1: 157/129, M2: 143/129, M3: 101/129, M4: 101/129, q1: 3/4, q2: 73/172, qb1: 185/516, qb2: 241/516, phi1: 1/2} |