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 |
|---|---|---|---|---|---|---|---|---|---|
| 46320 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 0.5742 | 0.7205 | 0.797 | [M:[1.1067, 0.7865, 1.0], q:[0.6699, 0.5436], qb:[0.7767, 0.2233], phi:[0.4466]] | [M:[[-4], [8], [0]], q:[[3], [-11]], qb:[[-1], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.301 + t^2.36 + 2*t^2.68 + t^3. + t^3.32 + t^3.64 + t^3.961 + t^4.02 + t^4.34 + 2*t^4.601 + t^4.719 + 3*t^4.98 + t^5.039 + t^5.301 + 5*t^5.36 + 2*t^5.68 + t^5.941 - t^6. + t^6.261 + 3*t^6.32 - t^6.379 + 2*t^6.64 + 2*t^6.699 + 2*t^6.902 + t^7.02 + t^7.079 + 5*t^7.281 - 2*t^7.34 + t^7.399 + 2*t^7.601 + 4*t^7.66 + 2*t^7.719 + t^7.921 + 2*t^7.98 + 7*t^8.039 + 2*t^8.242 - 3*t^8.301 + t^8.36 + 2*t^8.562 + 2*t^8.621 - 5*t^8.68 + 2*t^8.941 - t^4.34/y - t^6.699/y + t^7.66/y + (3*t^7.98)/y + (2*t^8.039)/y + t^8.301/y + (2*t^8.36)/y + t^8.621/y + (3*t^8.68)/y + t^8.941/y - t^4.34*y - t^6.699*y + t^7.66*y + 3*t^7.98*y + 2*t^8.039*y + t^8.301*y + 2*t^8.36*y + t^8.621*y + 3*t^8.68*y + t^8.941*y | t^2.301/g1^10 + g1^8*t^2.36 + 2*g1^4*t^2.68 + t^3. + t^3.32/g1^4 + t^3.64/g1^8 + t^3.961/g1^12 + g1^6*t^4.02 + g1^2*t^4.34 + (2*t^4.601)/g1^20 + g1^16*t^4.719 + (3*t^4.98)/g1^6 + g1^12*t^5.039 + t^5.301/g1^10 + 5*g1^8*t^5.36 + 2*g1^4*t^5.68 + t^5.941/g1^18 - t^6. + t^6.261/g1^22 + (3*t^6.32)/g1^4 - g1^14*t^6.379 + (2*t^6.64)/g1^8 + 2*g1^10*t^6.699 + (2*t^6.902)/g1^30 + g1^6*t^7.02 + g1^24*t^7.079 + (5*t^7.281)/g1^16 - 2*g1^2*t^7.34 + g1^20*t^7.399 + (2*t^7.601)/g1^20 + (4*t^7.66)/g1^2 + 2*g1^16*t^7.719 + t^7.921/g1^24 + (2*t^7.98)/g1^6 + 7*g1^12*t^8.039 + (2*t^8.242)/g1^28 - (3*t^8.301)/g1^10 + g1^8*t^8.36 + (2*t^8.562)/g1^32 + (2*t^8.621)/g1^14 - 5*g1^4*t^8.68 + (2*t^8.941)/g1^18 - (g1^2*t^4.34)/y - (g1^10*t^6.699)/y + t^7.66/(g1^2*y) + (3*t^7.98)/(g1^6*y) + (2*g1^12*t^8.039)/y + t^8.301/(g1^10*y) + (2*g1^8*t^8.36)/y + t^8.621/(g1^14*y) + (3*g1^4*t^8.68)/y + t^8.941/(g1^18*y) - g1^2*t^4.34*y - g1^10*t^6.699*y + (t^7.66*y)/g1^2 + (3*t^7.98*y)/g1^6 + 2*g1^12*t^8.039*y + (t^8.301*y)/g1^10 + 2*g1^8*t^8.36*y + (t^8.621*y)/g1^14 + 3*g1^4*t^8.68*y + (t^8.941*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46585 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5919 | 0.7517 | 0.7874 | [M:[1.1138, 0.7725, 1.0, 0.7725], q:[0.6647, 0.5629], qb:[0.7784, 0.2216], phi:[0.4431]] | 2*t^2.317 + t^2.353 + 2*t^2.659 + t^3. + t^3.341 + t^3.988 + t^4.024 + t^4.329 + 3*t^4.635 + t^4.671 + 2*t^4.707 + 3*t^4.976 + 3*t^5.012 + 6*t^5.317 + t^5.353 + 3*t^5.659 - 2*t^6. - t^4.329/y - t^4.329*y | detail | |
| 46596 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5648 | 0.7053 | 0.8008 | [M:[1.1009, 0.7982, 1.0, 1.1009], q:[0.6743, 0.5275], qb:[0.7752, 0.2248], phi:[0.4495]] | t^2.257 + t^2.394 + t^2.697 + t^3. + 2*t^3.303 + t^3.606 + t^3.908 + t^4.046 + t^4.349 + 2*t^4.514 + t^4.789 + 2*t^4.954 + t^5.257 + 3*t^5.394 + t^5.56 + 2*t^5.697 + t^5.862 - t^6. - t^4.349/y - t^4.349*y | detail | |
| 46500 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.595 | 0.7614 | 0.7815 | [M:[1.1079, 0.7843, 1.0, 0.6764], q:[0.6691, 0.5466], qb:[0.777, 0.223], phi:[0.4461]] | t^2.029 + t^2.309 + t^2.353 + 2*t^2.676 + t^3. + t^3.324 + t^3.647 + t^4.015 + t^4.058 + 2*t^4.338 + t^4.382 + 2*t^4.618 + 3*t^4.706 + 3*t^4.985 + 2*t^5.029 + t^5.309 + 6*t^5.353 + 3*t^5.676 + t^5.956 - t^6. - t^4.338/y - t^4.338*y | detail | |
| 46781 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.5741 | 0.7199 | 0.7974 | [M:[1.1111, 0.7778, 1.0], q:[0.6667, 0.5556], qb:[0.7778, 0.2222], phi:[0.4444]] | 2*t^2.333 + 2*t^2.667 + t^3. + t^3.333 + t^3.667 + 2*t^4. + t^4.333 + 3*t^4.667 + 4*t^5. + 6*t^5.333 + 2*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 31/54, c: 311/432, M1: 10/9, M2: 7/9, M3: 1, q1: 2/3, q2: 5/9, qb1: 7/9, qb2: 2/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46025 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ | 0.5895 | 0.742 | 0.7945 | [M:[1.0406, 0.9189, 1.0], q:[0.5406, 0.5406], qb:[0.7601, 0.2399], phi:[0.4797]] | 2*t^2.341 + t^2.757 + t^2.878 + t^3. + t^3.122 + 2*t^3.78 + 2*t^3.902 + 6*t^4.683 + 2*t^5.22 + 2*t^5.341 + 2*t^5.463 + t^5.513 + t^5.635 + 2*t^5.757 + t^5.878 - 4*t^6. - t^4.439/y - t^4.439*y | detail |