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 |
|---|---|---|---|---|---|---|---|---|---|
| 1148 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6771 | 0.8451 | 0.8012 | [M:[0.9789, 1.0834, 1.1457, 0.8543, 0.792, 0.7497], q:[0.7709, 0.5417], qb:[0.4794, 0.3749], phi:[0.4583]] | [M:[[13], [-4], [5], [-5], [-14], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}^{2}$ | ${}$ | -1 | t^2.249 + t^2.376 + t^2.563 + t^2.75 + t^2.937 + t^3.25 + t^3.437 + 2*t^3.938 + t^4.125 + t^4.251 + t^4.438 + t^4.498 + 2*t^4.625 + t^4.752 + t^4.812 + t^4.939 + t^4.999 + 2*t^5.126 + t^5.186 + 2*t^5.313 + 2*t^5.499 + t^5.626 + t^5.686 + t^5.813 + t^5.873 - t^6. + 2*t^6.187 + t^6.314 + 2*t^6.374 + 2*t^6.501 + t^6.627 + 2*t^6.687 + t^6.748 + 2*t^6.814 + 3*t^6.874 + 3*t^7.001 + t^7.061 + t^7.128 + 2*t^7.188 + t^7.248 + t^7.315 + 3*t^7.375 + t^7.435 + 2*t^7.502 + 2*t^7.562 + 2*t^7.689 + 2*t^7.749 + 3*t^7.875 + t^7.936 + t^8.002 + 2*t^8.062 + t^8.122 + 2*t^8.189 - t^8.376 + 2*t^8.436 + t^8.503 + 2*t^8.623 + 2*t^8.69 + t^8.75 + t^8.81 + 2*t^8.876 - t^8.937 + t^8.997 - t^4.375/y - t^6.624/y - t^6.751/y - t^7.311/y + t^7.438/y + t^7.625/y + t^7.812/y + t^7.939/y + (2*t^7.999)/y + (2*t^8.126)/y + t^8.186/y + (2*t^8.313)/y + (2*t^8.499)/y + t^8.626/y + (2*t^8.686)/y + (2*t^8.813)/y - t^8.873/y - t^4.375*y - t^6.624*y - t^6.751*y - t^7.311*y + t^7.438*y + t^7.625*y + t^7.812*y + t^7.939*y + 2*t^7.999*y + 2*t^8.126*y + t^8.186*y + 2*t^8.313*y + 2*t^8.499*y + t^8.626*y + 2*t^8.686*y + 2*t^8.813*y - t^8.873*y | g1^12*t^2.249 + t^2.376/g1^14 + t^2.563/g1^5 + g1^4*t^2.75 + g1^13*t^2.937 + t^3.25/g1^4 + g1^5*t^3.437 + (2*t^3.938)/g1^3 + g1^6*t^4.125 + t^4.251/g1^20 + t^4.438/g1^11 + g1^24*t^4.498 + (2*t^4.625)/g1^2 + t^4.752/g1^28 + g1^7*t^4.812 + t^4.939/g1^19 + g1^16*t^4.999 + (2*t^5.126)/g1^10 + g1^25*t^5.186 + (2*t^5.313)/g1 + 2*g1^8*t^5.499 + t^5.626/g1^18 + g1^17*t^5.686 + t^5.813/g1^9 + g1^26*t^5.873 - t^6. + 2*g1^9*t^6.187 + t^6.314/g1^17 + 2*g1^18*t^6.374 + (2*t^6.501)/g1^8 + t^6.627/g1^34 + 2*g1*t^6.687 + g1^36*t^6.748 + (2*t^6.814)/g1^25 + 3*g1^10*t^6.874 + (3*t^7.001)/g1^16 + g1^19*t^7.061 + t^7.128/g1^42 + (2*t^7.188)/g1^7 + g1^28*t^7.248 + t^7.315/g1^33 + 3*g1^2*t^7.375 + g1^37*t^7.435 + (2*t^7.502)/g1^24 + 2*g1^11*t^7.562 + (2*t^7.689)/g1^15 + 2*g1^20*t^7.749 + (3*t^7.875)/g1^6 + g1^29*t^7.936 + t^8.002/g1^32 + 2*g1^3*t^8.062 + g1^38*t^8.122 + (2*t^8.189)/g1^23 - t^8.376/g1^14 + 2*g1^21*t^8.436 + t^8.503/g1^40 + 2*g1^30*t^8.623 + (2*t^8.69)/g1^31 + g1^4*t^8.75 + g1^39*t^8.81 + (2*t^8.876)/g1^22 - g1^13*t^8.937 + g1^48*t^8.997 - (g1^2*t^4.375)/y - (g1^14*t^6.624)/y - t^6.751/(g1^12*y) - (g1^15*t^7.311)/y + t^7.438/(g1^11*y) + t^7.625/(g1^2*y) + (g1^7*t^7.812)/y + t^7.939/(g1^19*y) + (2*g1^16*t^7.999)/y + (2*t^8.126)/(g1^10*y) + (g1^25*t^8.186)/y + (2*t^8.313)/(g1*y) + (2*g1^8*t^8.499)/y + t^8.626/(g1^18*y) + (2*g1^17*t^8.686)/y + (2*t^8.813)/(g1^9*y) - (g1^26*t^8.873)/y - g1^2*t^4.375*y - g1^14*t^6.624*y - (t^6.751*y)/g1^12 - g1^15*t^7.311*y + (t^7.438*y)/g1^11 + (t^7.625*y)/g1^2 + g1^7*t^7.812*y + (t^7.939*y)/g1^19 + 2*g1^16*t^7.999*y + (2*t^8.126*y)/g1^10 + g1^25*t^8.186*y + (2*t^8.313*y)/g1 + 2*g1^8*t^8.499*y + (t^8.626*y)/g1^18 + 2*g1^17*t^8.686*y + (2*t^8.813*y)/g1^9 - g1^26*t^8.873*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 |
|---|---|---|---|---|---|---|---|---|
| 2193 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6768 | 0.8462 | 0.7998 | [M:[1.0146, 1.0724, 1.1595, 0.8405, 0.7535, 0.7827, 0.9854], q:[0.7681, 0.5362], qb:[0.4492, 0.3914], phi:[0.4638]] | t^2.26 + t^2.348 + t^2.522 + t^2.783 + t^2.956 + t^3.217 + t^3.478 + 2*t^3.913 + t^4.086 + t^4.174 + t^4.348 + t^4.521 + 2*t^4.609 + t^4.696 + t^4.782 + t^4.87 + 2*t^5.043 + t^5.131 + t^5.217 + 2*t^5.304 + 2*t^5.478 + t^5.565 + 2*t^5.739 + t^5.912 - t^6. - t^4.391/y - t^4.391*y | detail | |
| 2189 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6849 | 0.8581 | 0.7981 | [M:[0.9685, 1.0866, 1.1417, 0.8583, 0.8031, 0.7402, 0.9134], q:[0.7717, 0.5433], qb:[0.4882, 0.3701], phi:[0.4567]] | t^2.221 + t^2.409 + t^2.575 + 2*t^2.74 + t^2.906 + t^3.425 + 2*t^3.945 + t^4.11 + t^4.299 + t^4.441 + t^4.465 + 2*t^4.63 + t^4.795 + t^4.819 + 2*t^4.961 + t^4.984 + t^5.126 + 3*t^5.15 + 3*t^5.315 + 3*t^5.48 + 2*t^5.646 + t^5.811 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 2191 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6901 | 0.8675 | 0.7954 | [M:[0.9899, 1.08, 1.15, 0.85, 0.7801, 0.7599, 0.85], q:[0.77, 0.54], qb:[0.4701, 0.38], phi:[0.46]] | t^2.28 + t^2.34 + 2*t^2.55 + t^2.76 + t^2.97 + t^3.24 + 2*t^3.93 + t^4.14 + t^4.2 + t^4.41 + t^4.559 + 2*t^4.62 + t^4.681 + 2*t^4.83 + 2*t^4.89 + t^5.04 + 4*t^5.1 + t^5.249 + 3*t^5.31 + 3*t^5.52 + t^5.58 + t^5.79 + t^5.939 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 703 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6584 | 0.8119 | 0.8109 | [M:[0.9956, 1.0783, 1.1521, 0.8479, 0.774], q:[0.7696, 0.5391], qb:[0.4653, 0.3826], phi:[0.4609]] | t^2.322 + t^2.544 + t^2.765 + t^2.987 + t^3.235 + t^3.456 + t^3.705 + 2*t^3.926 + t^4.148 + t^4.174 + t^4.396 + t^4.617 + t^4.644 + t^4.866 + 2*t^5.087 + 2*t^5.309 + t^5.53 + t^5.557 + t^5.778 + t^5.973 - t^6. - t^4.383/y - t^4.383*y | detail |