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 |
|---|---|---|---|---|---|---|---|---|---|
| 987 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6669 | 0.8242 | 0.8092 | [M:[0.9689, 0.7812, 0.922, 0.8281, 1.1719], q:[0.6405, 0.3906], qb:[0.4375, 0.7812], phi:[0.4375]] | [M:[[-18], [2], [-13], [-3], [3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$ | ${}$ | -1 | t^2.344 + t^2.484 + t^2.625 + t^2.766 + t^2.907 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.265 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + 2*t^4.969 + 2*t^5.11 + t^5.156 + 2*t^5.25 + t^5.391 + 2*t^5.532 + t^5.673 + t^5.813 - t^6. + t^6.141 + 3*t^6.281 + 3*t^6.422 + 2*t^6.563 + t^6.704 + t^6.844 + t^6.89 + 2*t^7.031 + 2*t^7.172 + 2*t^7.313 + 4*t^7.453 + t^7.499 + 4*t^7.594 + 3*t^7.735 + t^7.781 + 4*t^7.876 + 2*t^8.016 + t^8.062 + 3*t^8.157 + 2*t^8.298 - 2*t^8.344 + 2*t^8.438 - t^8.484 + t^8.579 - t^8.625 + t^8.671 + t^8.72 + t^8.812 + t^8.907 - t^4.313/y - t^6.656/y - t^6.938/y - t^7.079/y - t^7.219/y + t^7.406/y + t^7.547/y + t^7.687/y + t^7.828/y + (2*t^7.969)/y + (2*t^8.11)/y + (2*t^8.25)/y + (2*t^8.391)/y + t^8.532/y + t^8.673/y + t^8.859/y - t^4.313*y - t^6.656*y - t^6.938*y - t^7.079*y - t^7.219*y + t^7.406*y + t^7.547*y + t^7.687*y + t^7.828*y + 2*t^7.969*y + 2*t^8.11*y + 2*t^8.25*y + 2*t^8.391*y + t^8.532*y + t^8.673*y + t^8.859*y | g1^2*t^2.344 + t^2.484/g1^3 + t^2.625/g1^8 + t^2.766/g1^13 + t^2.907/g1^18 + g1^3*t^3.516 + t^3.656/g1^2 + t^3.797/g1^7 + t^3.938/g1^12 + g1^19*t^4.265 + g1^14*t^4.406 + g1^9*t^4.547 + g1^4*t^4.687 + t^4.828/g1 + (2*t^4.969)/g1^6 + (2*t^5.11)/g1^11 + g1^30*t^5.156 + (2*t^5.25)/g1^16 + t^5.391/g1^21 + (2*t^5.532)/g1^26 + t^5.673/g1^31 + t^5.813/g1^36 - t^6. + t^6.141/g1^5 + (3*t^6.281)/g1^10 + (3*t^6.422)/g1^15 + (2*t^6.563)/g1^20 + t^6.704/g1^25 + t^6.844/g1^30 + g1^11*t^6.89 + 2*g1^6*t^7.031 + 2*g1*t^7.172 + (2*t^7.313)/g1^4 + (4*t^7.453)/g1^9 + g1^32*t^7.499 + (4*t^7.594)/g1^14 + (3*t^7.735)/g1^19 + g1^22*t^7.781 + (4*t^7.876)/g1^24 + (2*t^8.016)/g1^29 + g1^12*t^8.062 + (3*t^8.157)/g1^34 + (2*t^8.298)/g1^39 - 2*g1^2*t^8.344 + (2*t^8.438)/g1^44 - t^8.484/g1^3 + t^8.579/g1^49 - t^8.625/g1^8 + g1^33*t^8.671 + t^8.72/g1^54 + g1^28*t^8.812 + t^8.907/g1^18 - t^4.313/(g1^4*y) - t^6.656/(g1^2*y) - t^6.938/(g1^12*y) - t^7.079/(g1^17*y) - t^7.219/(g1^22*y) + (g1^14*t^7.406)/y + (g1^9*t^7.547)/y + (g1^4*t^7.687)/y + t^7.828/(g1*y) + (2*t^7.969)/(g1^6*y) + (2*t^8.11)/(g1^11*y) + (2*t^8.25)/(g1^16*y) + (2*t^8.391)/(g1^21*y) + t^8.532/(g1^26*y) + t^8.673/(g1^31*y) + (g1^5*t^8.859)/y - (t^4.313*y)/g1^4 - (t^6.656*y)/g1^2 - (t^6.938*y)/g1^12 - (t^7.079*y)/g1^17 - (t^7.219*y)/g1^22 + g1^14*t^7.406*y + g1^9*t^7.547*y + g1^4*t^7.687*y + (t^7.828*y)/g1 + (2*t^7.969*y)/g1^6 + (2*t^8.11*y)/g1^11 + (2*t^8.25*y)/g1^16 + (2*t^8.391*y)/g1^21 + (t^8.532*y)/g1^26 + (t^8.673*y)/g1^31 + g1^5*t^8.859*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 |
|---|---|---|---|---|---|---|---|---|
| 1558 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.6445 | 0.7963 | 0.8094 | [M:[1.1429, 0.7619, 1.0476, 0.8571, 1.1429], q:[0.4762, 0.381], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + t^4.857 + 2*t^5.143 + 2*t^5.429 + 2*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 3537/5488, c: 2185/2744, M1: 8/7, M2: 16/21, M3: 22/21, M4: 6/7, M5: 8/7, q1: 10/21, q2: 8/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 1560 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.667 | 0.8243 | 0.8092 | [M:[1.032, 0.7742, 0.9676, 0.8387, 1.1613, 0.968], q:[0.5809, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.323 + t^2.516 + t^2.709 + t^2.903 + t^2.904 + t^3.484 + t^3.677 + t^3.871 + t^4.064 + t^4.065 + t^4.259 + t^4.452 + t^4.645 + t^4.839 + t^4.84 + 2*t^5.032 + 2*t^5.225 + t^5.227 + t^5.419 + t^5.42 + t^5.613 + t^5.805 + t^5.807 + t^5.808 - t^6. - t^4.355/y - t^4.355*y | detail | |
| 1559 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6612 | 0.8142 | 0.8121 | [M:[1.0142, 0.7762, 0.9547, 0.8357, 1.1643, 1.0453], q:[0.5977, 0.3881], qb:[0.4476, 0.7762], phi:[0.4476]] | t^2.329 + t^2.507 + t^2.686 + t^3.042 + t^3.136 + t^3.493 + t^3.671 + t^3.85 + t^4.028 + t^4.122 + t^4.3 + t^4.479 + t^4.657 + t^4.836 + t^4.929 + 2*t^5.014 + t^5.193 + t^5.371 + t^5.465 + t^5.643 + t^5.728 + t^5.822 - t^6. - t^4.343/y - t^4.343*y | detail | |
| 1561 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6845 | 0.8553 | 0.8003 | [M:[0.9729, 0.7808, 0.9249, 0.8288, 1.1712, 0.7808], q:[0.6367, 0.3904], qb:[0.4384, 0.7808], phi:[0.4384]] | 2*t^2.342 + t^2.486 + t^2.631 + t^2.775 + t^2.919 + t^3.514 + t^3.802 + t^3.946 + t^4.252 + t^4.396 + t^4.541 + 3*t^4.685 + 2*t^4.829 + 3*t^4.973 + 3*t^5.117 + t^5.135 + 3*t^5.261 + t^5.405 + 2*t^5.549 + t^5.694 + t^5.838 + t^5.856 - 2*t^6. - t^4.315/y - t^4.315*y | detail | |
| 2104 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6877 | 0.8645 | 0.7955 | [M:[0.9733, 0.7807, 0.9252, 0.8289, 1.1711, 0.6844], q:[0.6363, 0.3904], qb:[0.4385, 0.7807], phi:[0.4385]] | t^2.053 + t^2.342 + t^2.487 + t^2.631 + t^2.776 + t^2.92 + t^3.513 + t^3.658 + t^3.802 + t^4.107 + t^4.251 + 2*t^4.396 + 2*t^4.54 + 2*t^4.684 + 2*t^4.829 + 3*t^4.973 + 2*t^5.118 + t^5.133 + 2*t^5.262 + t^5.407 + 2*t^5.551 + t^5.567 + t^5.696 + t^5.711 + t^5.84 + t^5.856 - t^6. - t^4.316/y - t^4.316*y | detail | |
| 1557 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4254 | 0.5109 | 0.8326 | [X:[1.5789, 1.4737, 1.3684], M:[0.4211, 0.8421, 0.5263, 0.7368, 1.2632], q:[1.1579, 0.4211], qb:[0.3158, 0.8421], phi:[0.3158]] | t^2.211 + t^2.526 + t^2.842 + t^3.158 + t^4.105 + t^4.421 + t^4.737 + 2*t^5.053 + 2*t^5.368 + t^5.684 - t^6. - t^3.947/y - t^3.947*y | detail | {a: 23343/54872, c: 7009/13718, X1: 30/19, X2: 28/19, X3: 26/19, M1: 8/19, M2: 16/19, M3: 10/19, M4: 14/19, M5: 24/19, q1: 22/19, q2: 8/19, qb1: 6/19, qb2: 16/19, phi1: 6/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6698 | 0.8297 | 0.8073 | [M:[0.9823, 0.7363, 0.8719, 0.8467, 1.1533], q:[0.6495, 0.3682], qb:[0.4785, 0.7852], phi:[0.4297]] | t^2.209 + t^2.54 + t^2.578 + t^2.616 + t^2.947 + t^3.46 + t^3.498 + t^3.829 + t^4.16 + t^4.304 + t^4.342 + t^4.418 + t^4.673 + t^4.749 + t^4.787 + t^4.825 + t^5.08 + t^5.118 + 2*t^5.156 + t^5.186 + t^5.194 + t^5.232 + t^5.525 + t^5.563 + t^5.707 + t^5.894 - 2*t^6. - t^4.289/y - t^4.289*y | detail |