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 |
|---|---|---|---|---|---|---|---|---|---|
| 349 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6617 | 0.8086 | 0.8182 | [M:[0.6944, 1.1019, 0.9956, 1.1019], q:[0.7755, 0.5301], qb:[0.4743, 0.4239], phi:[0.4491]] | [M:[[12, 12], [-4, -4], [7, 11], [-4, -4]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.083 + t^2.862 + t^2.987 + 2*t^3.306 + t^3.598 + t^3.749 + t^3.89 + t^4.042 + t^4.167 + t^4.193 + t^4.209 + t^4.36 + t^4.528 + t^4.945 + t^5.07 + 2*t^5.389 + t^5.724 + 2*t^5.974 - 3*t^6. + t^6.125 - t^6.151 + t^6.167 + t^6.25 + t^6.276 + 2*t^6.292 - t^6.319 + t^6.46 + t^6.585 + 3*t^6.611 + t^6.752 + t^6.877 + t^6.904 + t^7.029 + t^7.055 + t^7.071 + t^7.154 + 2*t^7.196 + t^7.347 + t^7.39 + 2*t^7.472 + t^7.488 + t^7.498 + t^7.515 + t^7.64 + t^7.781 + t^7.791 + t^7.807 + t^7.833 + t^7.932 + t^7.942 + 2*t^8.057 - 2*t^8.083 + t^8.1 + t^8.208 + t^8.251 + t^8.333 + t^8.36 + 2*t^8.376 + t^8.386 - t^8.402 + t^8.418 + t^8.553 + t^8.586 + 2*t^8.694 + t^8.721 + t^8.737 + t^8.836 - 3*t^8.862 + t^8.888 + 2*t^8.961 - 3*t^8.987 - t^4.347/y - t^6.431/y + t^7.042/y - t^7.334/y + t^7.36/y - t^7.653/y + t^7.945/y + t^8.07/y + t^8.264/y + (2*t^8.389)/y - t^8.514/y + t^8.681/y + t^8.833/y + t^8.849/y + t^8.974/y - t^4.347*y - t^6.431*y + t^7.042*y - t^7.334*y + t^7.36*y - t^7.653*y + t^7.945*y + t^8.07*y + t^8.264*y + 2*t^8.389*y - t^8.514*y + t^8.681*y + t^8.833*y + t^8.849*y + t^8.974*y | g1^12*g2^12*t^2.083 + t^2.862/(g1^11*g2^7) + g1^7*g2^11*t^2.987 + (2*t^3.306)/(g1^4*g2^4) + (g2^3*t^3.598)/g1 + (g1^3*t^3.749)/g2 + g1^2*g2^10*t^3.89 + g1^6*g2^6*t^4.042 + g1^24*g2^24*t^4.167 + g1^10*g2^2*t^4.193 + t^4.209/(g1^9*g2^5) + t^4.36/(g1^5*g2^9) + t^4.528/(g1^20*g2^20) + g1*g2^5*t^4.945 + g1^19*g2^23*t^5.07 + 2*g1^8*g2^8*t^5.389 + t^5.724/(g1^22*g2^14) + 2*g1^14*g2^22*t^5.974 - 3*t^6. + g1^18*g2^18*t^6.125 - (g1^4*t^6.151)/g2^4 + t^6.167/(g1^15*g2^11) + g1^36*g2^36*t^6.25 + g1^22*g2^14*t^6.276 + 2*g1^3*g2^7*t^6.292 - t^6.319/(g1^11*g2^15) + t^6.46/(g1^12*g2^4) + g1^6*g2^14*t^6.585 + (3*t^6.611)/(g1^8*g2^8) + (g2^3*t^6.752)/g1^9 + g1^9*g2^21*t^6.877 + t^6.904/(g1^5*g2) + g1^13*g2^17*t^7.029 + t^7.055/(g1*g2^5) + t^7.071/(g1^20*g2^12) + g1^31*g2^35*t^7.154 + (2*g2^6*t^7.196)/g1^2 + g1^2*g2^2*t^7.347 + t^7.39/(g1^31*g2^27) + 2*g1^20*g2^20*t^7.472 + g1*g2^13*t^7.488 + (g1^6*t^7.498)/g2^2 + t^7.515/(g1^13*g2^9) + g1^5*g2^9*t^7.64 + g1^4*g2^20*t^7.781 + g1^9*g2^5*t^7.791 + t^7.807/(g1^10*g2^2) + t^7.833/(g1^24*g2^24) + g1^8*g2^16*t^7.932 + g1^13*g2*t^7.942 + 2*g1^26*g2^34*t^8.057 - 2*g1^12*g2^12*t^8.083 + (g2^5*t^8.1)/g1^7 + g1^30*g2^30*t^8.208 + (g2*t^8.251)/g1^3 + g1^48*g2^48*t^8.333 + g1^34*g2^26*t^8.36 + 2*g1^15*g2^19*t^8.376 + g1^20*g2^4*t^8.386 - (g1*t^8.402)/g2^3 + t^8.418/(g1^18*g2^10) + (g1^5*t^8.553)/g2^7 + t^8.586/(g1^33*g2^21) + 2*g1^4*g2^4*t^8.694 + t^8.721/(g1^10*g2^18) + t^8.737/(g1^29*g2^25) + g1^3*g2^15*t^8.836 - (3*t^8.862)/(g1^11*g2^7) + t^8.888/(g1^25*g2^29) + 2*g1^21*g2^33*t^8.961 - 3*g1^7*g2^11*t^8.987 - (g1^2*g2^2*t^4.347)/y - (g1^14*g2^14*t^6.431)/y + (g1^6*g2^6*t^7.042)/y - (g1^9*g2^13*t^7.334)/y + t^7.36/(g1^5*g2^9*y) - t^7.653/(g1^2*g2^2*y) + (g1*g2^5*t^7.945)/y + (g1^19*g2^23*t^8.07)/y + t^8.264/(g1^10*g2^10*y) + (2*g1^8*g2^8*t^8.389)/y - (g1^26*g2^26*t^8.514)/y + (g1^11*g2^15*t^8.681)/y + (g1^15*g2^11*t^8.833)/y + (g2^4*t^8.849)/(g1^4*y) + (g1^14*g2^22*t^8.974)/y - g1^2*g2^2*t^4.347*y - g1^14*g2^14*t^6.431*y + g1^6*g2^6*t^7.042*y - g1^9*g2^13*t^7.334*y + (t^7.36*y)/(g1^5*g2^9) - (t^7.653*y)/(g1^2*g2^2) + g1*g2^5*t^7.945*y + g1^19*g2^23*t^8.07*y + (t^8.264*y)/(g1^10*g2^10) + 2*g1^8*g2^8*t^8.389*y - g1^26*g2^26*t^8.514*y + g1^11*g2^15*t^8.681*y + g1^15*g2^11*t^8.833*y + (g2^4*t^8.849*y)/g1^4 + g1^14*g2^22*t^8.974*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 219 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.6711 | 0.825 | 0.8135 | [M:[0.6804, 1.1065, 0.9852], q:[0.7766, 0.543], qb:[0.4718, 0.4217], phi:[0.4467]] | t^2.041 + t^2.68 + t^2.894 + t^2.956 + t^3.32 + t^3.595 + t^3.745 + t^3.87 + t^4.021 + t^4.082 + t^4.171 + t^4.234 + t^4.384 + t^4.598 + t^4.722 + t^4.935 + t^4.997 + 2*t^5.361 + t^5.574 + t^5.636 + t^5.788 + 2*t^5.911 - 2*t^6. - t^4.34/y - t^4.34*y | detail |