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 |
|---|---|---|---|---|---|---|---|---|---|
| 2173 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6939 | 0.8782 | 0.7902 | [M:[0.9634, 1.0882, 1.1398, 0.8602, 0.6839, 0.7355, 0.8602], q:[0.772, 0.5441], qb:[0.4925, 0.3677], phi:[0.4559]] | [M:[[13], [-4], [5], [-5], [3], [12], [-5]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$ | ${}M_{5}q_{1}q_{2}$ | -1 | t^2.052 + t^2.206 + 2*t^2.581 + t^2.735 + t^2.89 + t^3.265 + t^3.574 + t^3.948 + 2*t^4.103 + t^4.258 + t^4.323 + t^4.413 + t^4.477 + 3*t^4.632 + 3*t^4.787 + 2*t^4.942 + t^5.097 + 3*t^5.161 + 3*t^5.316 + 3*t^5.471 + t^5.626 + 2*t^5.78 + t^5.845 - t^6. + 4*t^6.155 + 3*t^6.31 + 2*t^6.464 + 2*t^6.529 + t^6.619 + 4*t^6.684 + 4*t^6.839 + 2*t^6.903 + 4*t^6.993 + 2*t^7.058 + 3*t^7.148 + 4*t^7.213 + t^7.303 + 5*t^7.368 + 5*t^7.523 + 5*t^7.677 + 2*t^7.742 + 2*t^7.832 + 2*t^7.897 + 2*t^7.987 + 2*t^8.052 + 3*t^8.206 + 6*t^8.361 + 4*t^8.516 - 4*t^8.581 + t^8.645 + 3*t^8.671 + 4*t^8.735 + t^8.8 + t^8.825 + 3*t^8.89 + t^8.955 - t^4.368/y - t^6.419/y - t^6.574/y - t^6.948/y + t^7.477/y + (2*t^7.632)/y + (4*t^7.787)/y + (2*t^7.942)/y + t^8.097/y + (2*t^8.161)/y + (4*t^8.316)/y + (2*t^8.471)/y + t^8.626/y + (2*t^8.845)/y - t^4.368*y - t^6.419*y - t^6.574*y - t^6.948*y + t^7.477*y + 2*t^7.632*y + 4*t^7.787*y + 2*t^7.942*y + t^8.097*y + 2*t^8.161*y + 4*t^8.316*y + 2*t^8.471*y + t^8.626*y + 2*t^8.845*y | g1^3*t^2.052 + g1^12*t^2.206 + (2*t^2.581)/g1^5 + g1^4*t^2.735 + g1^13*t^2.89 + t^3.265/g1^4 + g1^14*t^3.574 + t^3.948/g1^3 + 2*g1^6*t^4.103 + g1^15*t^4.258 + t^4.323/g1^20 + g1^24*t^4.413 + t^4.477/g1^11 + (3*t^4.632)/g1^2 + 3*g1^7*t^4.787 + 2*g1^16*t^4.942 + g1^25*t^5.097 + (3*t^5.161)/g1^10 + (3*t^5.316)/g1 + 3*g1^8*t^5.471 + g1^17*t^5.626 + 2*g1^26*t^5.78 + t^5.845/g1^9 - t^6. + 4*g1^9*t^6.155 + 3*g1^18*t^6.31 + 2*g1^27*t^6.464 + (2*t^6.529)/g1^8 + g1^36*t^6.619 + 4*g1*t^6.684 + 4*g1^10*t^6.839 + (2*t^6.903)/g1^25 + 4*g1^19*t^6.993 + (2*t^7.058)/g1^16 + 3*g1^28*t^7.148 + (4*t^7.213)/g1^7 + g1^37*t^7.303 + 5*g1^2*t^7.368 + 5*g1^11*t^7.523 + 5*g1^20*t^7.677 + (2*t^7.742)/g1^15 + 2*g1^29*t^7.832 + (2*t^7.897)/g1^6 + 2*g1^38*t^7.987 + 2*g1^3*t^8.052 + 3*g1^12*t^8.206 + 6*g1^21*t^8.361 + 4*g1^30*t^8.516 - (4*t^8.581)/g1^5 + t^8.645/g1^40 + 3*g1^39*t^8.671 + 4*g1^4*t^8.735 + t^8.8/g1^31 + g1^48*t^8.825 + 3*g1^13*t^8.89 + t^8.955/g1^22 - (g1^2*t^4.368)/y - (g1^5*t^6.419)/y - (g1^14*t^6.574)/y - t^6.948/(g1^3*y) + t^7.477/(g1^11*y) + (2*t^7.632)/(g1^2*y) + (4*g1^7*t^7.787)/y + (2*g1^16*t^7.942)/y + (g1^25*t^8.097)/y + (2*t^8.161)/(g1^10*y) + (4*t^8.316)/(g1*y) + (2*g1^8*t^8.471)/y + (g1^17*t^8.626)/y + (2*t^8.845)/(g1^9*y) - g1^2*t^4.368*y - g1^5*t^6.419*y - g1^14*t^6.574*y - (t^6.948*y)/g1^3 + (t^7.477*y)/g1^11 + (2*t^7.632*y)/g1^2 + 4*g1^7*t^7.787*y + 2*g1^16*t^7.942*y + g1^25*t^8.097*y + (2*t^8.161*y)/g1^10 + (4*t^8.316*y)/g1 + 2*g1^8*t^8.471*y + g1^17*t^8.626*y + (2*t^8.845*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4152 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}M_{6}$ | 0.6667 | 0.8442 | 0.7897 | [M:[1.12, 1.04, 1.2, 0.8, 0.72, 0.88, 0.8], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | t^2.16 + 2*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 4*t^4.8 + 3*t^5.04 + 4*t^5.28 + 3*t^5.52 + 3*t^5.76 + 2*t^6. - t^4.44/y - t^4.44*y | detail | {a: 166683/250000, c: 105529/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 18/25, M6: 22/25, M7: 4/5, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| 4153 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7107 | 0.9076 | 0.7831 | [M:[0.9888, 1.0804, 1.1495, 0.8505, 0.6897, 0.7589, 0.8505, 0.7813], q:[0.7701, 0.5402], qb:[0.471, 0.3795], phi:[0.4598]] | t^2.069 + t^2.277 + t^2.344 + 2*t^2.551 + t^2.759 + t^2.966 + t^3.241 + t^3.931 + 2*t^4.138 + t^4.205 + t^4.346 + 2*t^4.413 + t^4.553 + 4*t^4.621 + t^4.688 + 3*t^4.828 + 2*t^4.895 + 2*t^5.036 + 4*t^5.103 + t^5.243 + 4*t^5.31 + 3*t^5.518 + t^5.585 + t^5.792 + t^5.933 - t^6. - t^4.379/y - t^4.379*y | detail | |
| 4154 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.7147 | 0.9187 | 0.7779 | [M:[0.9625, 1.0885, 1.1394, 0.8606, 0.6836, 0.7346, 0.8606, 0.6836], q:[0.7721, 0.5442], qb:[0.4933, 0.3673], phi:[0.4558]] | 2*t^2.051 + t^2.204 + 2*t^2.582 + t^2.735 + t^2.887 + t^3.265 + t^3.571 + 4*t^4.102 + 2*t^4.255 + t^4.327 + t^4.408 + t^4.48 + 5*t^4.633 + 4*t^4.786 + 3*t^4.938 + t^5.091 + 3*t^5.164 + 4*t^5.316 + 3*t^5.469 + 2*t^5.622 + 2*t^5.775 + t^5.847 - 2*t^6. - t^4.367/y - t^4.367*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1135 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6818 | 0.8582 | 0.7944 | [M:[0.9502, 1.0922, 1.1347, 0.8653, 0.6808, 0.7233], q:[0.7731, 0.5461], qb:[0.5037, 0.3616], phi:[0.4539]] | t^2.042 + t^2.17 + t^2.596 + t^2.723 + t^2.851 + t^3.277 + t^3.404 + t^3.531 + t^3.958 + 2*t^4.085 + t^4.212 + t^4.34 + t^4.384 + t^4.511 + 2*t^4.638 + 2*t^4.766 + 2*t^4.893 + t^5.02 + t^5.192 + 2*t^5.319 + 3*t^5.447 + 2*t^5.574 + 2*t^5.701 - t^4.362/y - t^4.362*y | detail |