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 |
|---|---|---|---|---|---|---|---|---|---|
| 185 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 0.5333 | 0.6681 | 0.7983 | [M:[0.981, 1.019], q:[0.5878, 0.981], qb:[0.4313, 0.2748], phi:[0.4313]] | [M:[[7], [-7]], q:[[-6], [7]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.118 + 2*t^2.588 + t^2.943 + t^3.057 + t^3.412 + t^3.767 + t^3.882 + 2*t^4.237 + 3*t^4.706 + t^5.061 + 3*t^5.176 + 2*t^5.531 + t^5.645 + 2*t^5.886 + t^6.114 + 3*t^6.355 + t^6.71 + 3*t^6.824 + 2*t^7.18 + 3*t^7.294 + t^7.535 + 2*t^7.649 + 3*t^7.763 + 3*t^8.004 - t^8.118 + t^8.233 + 5*t^8.473 - 3*t^8.588 + t^8.702 + 2*t^8.829 + t^8.943 - t^4.294/y - t^6.882/y + (3*t^7.706)/y + t^8.061/y + (2*t^8.176)/y + (3*t^8.531)/y + (2*t^8.645)/y + t^8.886/y - t^4.294*y - t^6.882*y + 3*t^7.706*y + t^8.061*y + 2*t^8.176*y + 3*t^8.531*y + 2*t^8.645*y + t^8.886*y | g1^3*t^2.118 + (2*t^2.588)/g1^2 + g1^7*t^2.943 + t^3.057/g1^7 + g1^2*t^3.412 + g1^11*t^3.767 + t^3.882/g1^3 + 2*g1^6*t^4.237 + 3*g1*t^4.706 + g1^10*t^5.061 + (3*t^5.176)/g1^4 + 2*g1^5*t^5.531 + t^5.645/g1^9 + 2*g1^14*t^5.886 + t^6.114/g1^14 + 3*g1^9*t^6.355 + g1^18*t^6.71 + 3*g1^4*t^6.824 + 2*g1^13*t^7.18 + (3*t^7.294)/g1 + g1^22*t^7.535 + 2*g1^8*t^7.649 + (3*t^7.763)/g1^6 + 3*g1^17*t^8.004 - g1^3*t^8.118 + t^8.233/g1^11 + 5*g1^12*t^8.473 - (3*t^8.588)/g1^2 + t^8.702/g1^16 + 2*g1^21*t^8.829 + g1^7*t^8.943 - t^4.294/(g1*y) - t^6.882/(g1^3*y) + (3*g1*t^7.706)/y + (g1^10*t^8.061)/y + (2*t^8.176)/(g1^4*y) + (3*g1^5*t^8.531)/y + (2*t^8.645)/(g1^9*y) + (g1^14*t^8.886)/y - (t^4.294*y)/g1 - (t^6.882*y)/g1^3 + 3*g1*t^7.706*y + g1^10*t^8.061*y + (2*t^8.176*y)/g1^4 + 3*g1^5*t^8.531*y + (2*t^8.645*y)/g1^9 + g1^14*t^8.886*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 |
|---|---|---|---|---|---|---|---|---|
| 293 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.5338 | 0.6682 | 0.7988 | [M:[1.0289, 0.9711, 0.9711], q:[0.5466, 1.0289], qb:[0.4244, 0.3022], phi:[0.4244]] | t^2.18 + 2*t^2.547 + 2*t^2.913 + t^3.453 + t^3.82 + t^3.994 + 2*t^4.36 + 3*t^4.727 + 4*t^5.093 + 3*t^5.46 + 3*t^5.826 - t^6. - t^4.273/y - t^4.273*y | detail | |
| 286 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.489 | 0.614 | 0.7964 | [M:[1.2, 0.8], q:[0.4, 1.2], qb:[0.4, 0.4], phi:[0.4]] | 4*t^2.4 + 3*t^3.6 + 11*t^4.8 + 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 489/1000, c: 307/500, M1: 6/5, M2: 4/5, q1: 2/5, q2: 6/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
| 287 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.533 | 0.6669 | 0.7992 | [M:[1.0, 1.0], q:[0.5714, 1.0], qb:[0.4286, 0.2857], phi:[0.4286]] | t^2.143 + 2*t^2.571 + 2*t^3. + t^3.429 + 2*t^3.857 + 2*t^4.286 + 3*t^4.714 + 4*t^5.143 + 3*t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 2925/5488, c: 915/1372, M1: 1, M2: 1, q1: 4/7, q2: 1, qb1: 3/7, qb2: 2/7, phi1: 3/7} |
| 288 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5456 | 0.6887 | 0.7923 | [M:[0.9921, 1.0079, 0.8594], q:[0.5782, 0.9921], qb:[0.4297, 0.2812], phi:[0.4297]] | t^2.133 + 3*t^2.578 + t^2.976 + t^3.024 + t^3.82 + t^3.867 + 2*t^4.265 + 4*t^4.711 + t^5.109 + 6*t^5.156 + 2*t^5.555 + 2*t^5.602 + 2*t^5.953 - 2*t^6. - t^4.289/y - t^4.289*y | detail | |
| 289 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5538 | 0.7072 | 0.783 | [M:[0.9766, 1.0234, 0.7043], q:[0.5914, 0.9766], qb:[0.4319, 0.2724], phi:[0.4319]] | 2*t^2.113 + 2*t^2.591 + t^2.93 + t^3.07 + t^3.409 + t^3.747 + 4*t^4.226 + 5*t^4.704 + 2*t^5.043 + 4*t^5.183 + 3*t^5.521 + t^5.661 + 3*t^5.86 - t^6. - t^4.296/y - t^4.296*y | detail | |
| 291 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.5213 | 0.6482 | 0.8042 | [M:[0.9697, 1.0303, 1.1342], q:[0.5974, 0.9697], qb:[0.4329, 0.2684], phi:[0.4329]] | t^2.104 + t^2.597 + t^2.909 + t^3.091 + 2*t^3.403 + t^3.714 + t^3.896 + 2*t^4.208 + 2*t^4.701 + t^5.013 + t^5.195 + 2*t^5.506 + 2*t^5.818 - t^4.299/y - t^4.299*y | detail | {a: 148361/284592, c: 92237/142296, M1: 32/33, M2: 34/33, M3: 262/231, q1: 46/77, q2: 32/33, qb1: 100/231, qb2: 62/231, phi1: 100/231} |
| 1724 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 0.5532 | 0.705 | 0.7847 | [M:[1.0005, 0.9995, 0.7135], q:[0.571, 1.0005], qb:[0.4285, 0.286], phi:[0.4285]] | t^2.14 + t^2.144 + 2*t^2.571 + t^2.998 + t^3.002 + t^3.429 + t^3.856 + t^4.281 + t^4.284 + 2*t^4.287 + 2*t^4.711 + 3*t^4.715 + t^5.139 + 4*t^5.142 + t^5.145 + 2*t^5.569 + 2*t^5.573 + 2*t^5.997 - t^4.285/y - t^4.285*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 |
|---|---|---|---|---|---|---|---|---|---|
| 118 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ | 0.5344 | 0.6715 | 0.7957 | [M:[1.0, 1.0], q:[0.5973, 0.9638], qb:[0.4027, 0.2805], phi:[0.4389]] | t^2.05 + 2*t^2.634 + 2*t^3. + t^3.366 + 2*t^3.733 + 2*t^4.099 + 3*t^4.683 + 2*t^5.05 + 2*t^5.267 + t^5.416 + 2*t^5.634 + 2*t^5.783 + t^6. - t^4.317/y - t^4.317*y | detail |