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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[12, 12], [-4, -4], [7, 11]], 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 |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 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^6.062 + t^6.124 - t^6.15 + t^6.212 + 2*t^6.275 - t^6.364 + t^6.426 + t^6.489 + 2*t^6.551 + t^6.639 + t^6.701 + t^6.763 + t^6.764 + t^6.826 + t^6.851 + t^6.915 + t^6.976 + t^7.038 + t^7.065 + t^7.128 + t^7.19 + t^7.278 + 2*t^7.402 + t^7.465 + t^7.492 + 2*t^7.616 + t^7.677 - t^7.704 + t^7.741 + t^7.766 + t^7.829 + t^7.891 + t^7.916 + 2*t^7.953 + t^8.103 + t^8.104 + t^8.165 + t^8.253 + t^8.255 + 2*t^8.317 + t^8.342 - t^8.405 + 2*t^8.468 + t^8.555 + 2*t^8.592 - 2*t^8.68 + t^8.682 + t^8.742 + t^8.769 + t^8.804 + t^8.805 - t^8.831 + t^8.832 + 2*t^8.867 + t^8.892 - 3*t^8.894 - t^8.956 + t^8.982 - t^4.34/y - t^6.381/y - t^7.296/y + t^7.384/y + t^7.722/y + t^7.935/y + t^7.997/y + t^8.299/y + t^8.361/y - t^8.423/y + t^8.574/y + (2*t^8.636)/y + t^8.786/y + t^8.85/y + t^8.911/y - t^4.34*y - t^6.381*y - t^7.296*y + t^7.384*y + t^7.722*y + t^7.935*y + t^7.997*y + t^8.299*y + t^8.361*y - t^8.423*y + t^8.574*y + 2*t^8.636*y + t^8.786*y + t^8.85*y + t^8.911*y | g1^12*g2^12*t^2.041 + g1^4*g2^4*t^2.68 + t^2.894/(g1^11*g2^7) + g1^7*g2^11*t^2.956 + t^3.32/(g1^4*g2^4) + (g2^3*t^3.595)/g1 + (g1^3*t^3.745)/g2 + g1^2*g2^10*t^3.87 + g1^6*g2^6*t^4.021 + g1^24*g2^24*t^4.082 + g1^10*g2^2*t^4.171 + t^4.234/(g1^9*g2^5) + t^4.384/(g1^5*g2^9) + t^4.598/(g1^20*g2^20) + g1^16*g2^16*t^4.722 + g1*g2^5*t^4.935 + g1^19*g2^23*t^4.997 + 2*g1^8*g2^8*t^5.361 + t^5.574/(g1^7*g2^3) + g1^11*g2^15*t^5.636 + t^5.788/(g1^22*g2^14) + 2*g1^14*g2^22*t^5.911 - 2*t^6. + g1^18*g2^18*t^6.062 + g1^36*g2^36*t^6.124 - (g1^4*t^6.15)/g2^4 + g1^22*g2^14*t^6.212 + 2*g1^3*g2^7*t^6.275 - t^6.364/(g1^11*g2^15) + g1^7*g2^3*t^6.426 + t^6.489/(g1^12*g2^4) + 2*g1^6*g2^14*t^6.551 + t^6.639/(g1^8*g2^8) + g1^10*g2^10*t^6.701 + g1^28*g2^28*t^6.763 + (g2^3*t^6.764)/g1^9 + g1^9*g2^21*t^6.826 + g1^14*g2^6*t^6.851 + t^6.915/(g1^5*g2) + g1^13*g2^17*t^6.976 + g1^31*g2^35*t^7.038 + t^7.065/(g1*g2^5) + t^7.128/(g1^20*g2^12) + (g2^6*t^7.19)/g1^2 + t^7.278/(g1^16*g2^16) + 2*g1^20*g2^20*t^7.402 + g1*g2^13*t^7.465 + t^7.492/(g1^31*g2^27) + 2*g1^5*g2^9*t^7.616 + g1^23*g2^27*t^7.677 - t^7.704/(g1^9*g2^13) + g1^4*g2^20*t^7.741 + g1^9*g2^5*t^7.766 + t^7.829/(g1^10*g2^2) + g1^8*g2^16*t^7.891 + g1^13*g2*t^7.916 + 2*g1^26*g2^34*t^7.953 + g1^30*g2^30*t^8.103 + (g2^5*t^8.104)/g1^7 + g1^48*g2^48*t^8.165 + g1^34*g2^26*t^8.253 + (g2*t^8.255)/g1^3 + 2*g1^15*g2^19*t^8.317 + g1^20*g2^4*t^8.342 - (g1*t^8.405)/g2^3 + (2*t^8.468)/(g1^18*g2^10) + (g1^5*t^8.555)/g2^7 + 2*g1^18*g2^26*t^8.592 - 2*g1^4*g2^4*t^8.68 + t^8.682/(g1^33*g2^21) + g1^22*g2^22*t^8.742 + t^8.769/(g1^10*g2^18) + g1^40*g2^40*t^8.804 + g1^3*g2^15*t^8.805 - g1^8*t^8.831 + t^8.832/(g1^29*g2^25) + 2*g1^21*g2^33*t^8.867 + g1^26*g2^18*t^8.892 - (3*t^8.894)/(g1^11*g2^7) - g1^7*g2^11*t^8.956 + t^8.982/(g1^25*g2^29) - (g1^2*g2^2*t^4.34)/y - (g1^14*g2^14*t^6.381)/y - (g1^9*g2^13*t^7.296)/y + t^7.384/(g1^5*g2^9*y) + (g1^16*g2^16*t^7.722)/y + (g1*g2^5*t^7.935)/y + (g1^19*g2^23*t^7.997)/y + t^8.299/(g1^10*g2^10*y) + (g1^8*g2^8*t^8.361)/y - (g1^26*g2^26*t^8.423)/y + t^8.574/(g1^7*g2^3*y) + (2*g1^11*g2^15*t^8.636)/y + (g1^15*g2^11*t^8.786)/y + (g2^4*t^8.85)/(g1^4*y) + (g1^14*g2^22*t^8.911)/y - g1^2*g2^2*t^4.34*y - g1^14*g2^14*t^6.381*y - g1^9*g2^13*t^7.296*y + (t^7.384*y)/(g1^5*g2^9) + g1^16*g2^16*t^7.722*y + g1*g2^5*t^7.935*y + g1^19*g2^23*t^7.997*y + (t^8.299*y)/(g1^10*g2^10) + g1^8*g2^8*t^8.361*y - g1^26*g2^26*t^8.423*y + (t^8.574*y)/(g1^7*g2^3) + 2*g1^11*g2^15*t^8.636*y + g1^15*g2^11*t^8.786*y + (g2^4*t^8.85*y)/g1^4 + g1^14*g2^22*t^8.911*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 |
|---|---|---|---|---|---|---|---|---|
| 348 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6916 | 0.8641 | 0.8004 | [M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | t^2.051 + t^2.079 + t^2.684 + t^2.909 + t^2.986 + t^3.316 + t^3.619 + t^3.723 + t^4.026 + t^4.103 + 2*t^4.131 + t^4.158 + t^4.251 + t^4.356 + t^4.581 + t^4.735 + t^4.763 + t^4.96 + t^4.988 + t^5.038 + t^5.065 + 2*t^5.368 + t^5.395 + t^5.593 + t^5.67 + t^5.698 + t^5.803 + t^5.818 + t^5.972 - 2*t^6. - t^4.342/y - t^4.342*y | detail | |
| 349 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ | 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]] | 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^4.347/y - t^4.347*y | detail | |
| 1744 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.688 | 0.8541 | 0.8054 | [M:[0.6825, 1.1058, 1.0016, 0.7867], q:[0.7765, 0.5411], qb:[0.4574, 0.4368], phi:[0.4471]] | t^2.047 + t^2.36 + t^2.682 + t^2.934 + t^3.005 + t^3.318 + t^3.701 + t^3.962 + t^4.024 + t^4.085 + t^4.095 + t^4.275 + t^4.336 + t^4.408 + t^4.588 + t^4.72 + t^4.73 + t^4.981 + t^5.043 + t^5.052 + t^5.294 + 3*t^5.365 + t^5.616 + t^5.678 + t^5.867 - 2*t^6. - t^4.341/y - t^4.341*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 |
|---|---|---|---|---|---|---|---|---|---|
| 132 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6721 | 0.8254 | 0.8143 | [M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | t^2.145 + t^2.715 + 2*t^2.891 + t^3.285 + 2*t^3.679 + 3*t^4.072 + 2*t^4.249 + t^4.29 + t^4.425 + t^4.86 + 2*t^5.036 + 2*t^5.43 + 2*t^5.606 + 3*t^5.783 - 4*t^6. - t^4.357/y - t^4.357*y | detail |