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 |
|---|---|---|---|---|---|---|---|---|---|
| 3541 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.7004 | 0.895 | 0.7826 | [M:[0.8302, 1.0566, 1.1698, 0.7171, 0.8302, 0.698, 0.9434], q:[0.4056, 0.7641], qb:[0.4246, 0.5188], phi:[0.4717]] | [M:[[-12], [4], [12], [-20], [-12], [14], [-4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -2 | t^2.094 + t^2.151 + 2*t^2.491 + t^2.773 + 2*t^2.83 + t^3.566 + t^3.849 + t^3.963 + 2*t^4.188 + 2*t^4.245 + t^4.302 + t^4.528 + 2*t^4.585 + 2*t^4.642 + t^4.867 + 3*t^4.924 + 5*t^4.981 + 2*t^5.264 + 4*t^5.321 + t^5.546 + 2*t^5.603 + 3*t^5.66 - 2*t^6. + 2*t^6.057 + t^6.114 + t^6.282 + 3*t^6.34 + 3*t^6.397 + 3*t^6.454 + 2*t^6.622 + 5*t^6.679 + 3*t^6.736 + 4*t^6.793 + 2*t^6.961 + 5*t^7.019 + 5*t^7.076 + 4*t^7.133 + t^7.301 + 2*t^7.358 + 3*t^7.415 + 6*t^7.472 + t^7.529 + t^7.64 + t^7.698 + 6*t^7.755 + 8*t^7.812 + t^7.926 + 2*t^8.037 + 3*t^8.151 + t^8.208 + t^8.265 + t^8.319 + 4*t^8.377 + t^8.434 + 4*t^8.548 + 3*t^8.605 + 2*t^8.716 - 2*t^8.83 + 6*t^8.887 + 7*t^8.944 - t^4.415/y - t^6.509/y - t^6.566/y - t^6.906/y + (3*t^7.585)/y + (2*t^7.642)/y + t^7.867/y + (4*t^7.924)/y + (3*t^7.981)/y + (3*t^8.264)/y + (5*t^8.321)/y + t^8.603/y + t^8.66/y + t^8.943/y - t^4.415*y - t^6.509*y - t^6.566*y - t^6.906*y + 3*t^7.585*y + 2*t^7.642*y + t^7.867*y + 4*t^7.924*y + 3*t^7.981*y + 3*t^8.264*y + 5*t^8.321*y + t^8.603*y + t^8.66*y + t^8.943*y | g1^14*t^2.094 + t^2.151/g1^20 + (2*t^2.491)/g1^12 + g1^30*t^2.773 + (2*t^2.83)/g1^4 + t^3.566/g1^22 + g1^20*t^3.849 + t^3.963/g1^48 + 2*g1^28*t^4.188 + (2*t^4.245)/g1^6 + t^4.302/g1^40 + g1^36*t^4.528 + 2*g1^2*t^4.585 + (2*t^4.642)/g1^32 + g1^44*t^4.867 + 3*g1^10*t^4.924 + (5*t^4.981)/g1^24 + 2*g1^18*t^5.264 + (4*t^5.321)/g1^16 + g1^60*t^5.546 + 2*g1^26*t^5.603 + (3*t^5.66)/g1^8 - 2*t^6. + (2*t^6.057)/g1^34 + t^6.114/g1^68 + g1^42*t^6.282 + 3*g1^8*t^6.34 + (3*t^6.397)/g1^26 + (3*t^6.454)/g1^60 + 2*g1^50*t^6.622 + 5*g1^16*t^6.679 + (3*t^6.736)/g1^18 + (4*t^6.793)/g1^52 + 2*g1^58*t^6.961 + 5*g1^24*t^7.019 + (5*t^7.076)/g1^10 + (4*t^7.133)/g1^44 + g1^66*t^7.301 + 2*g1^32*t^7.358 + (3*t^7.415)/g1^2 + (6*t^7.472)/g1^36 + t^7.529/g1^70 + g1^74*t^7.64 + g1^40*t^7.698 + 6*g1^6*t^7.755 + (8*t^7.812)/g1^28 + t^7.926/g1^96 + 2*g1^48*t^8.037 + (3*t^8.151)/g1^20 + t^8.208/g1^54 + t^8.265/g1^88 + g1^90*t^8.319 + 4*g1^56*t^8.377 + g1^22*t^8.434 + (4*t^8.548)/g1^46 + (3*t^8.605)/g1^80 + 2*g1^64*t^8.716 - (2*t^8.83)/g1^4 + (6*t^8.887)/g1^38 + (7*t^8.944)/g1^72 - t^4.415/(g1^2*y) - (g1^12*t^6.509)/y - t^6.566/(g1^22*y) - t^6.906/(g1^14*y) + (3*g1^2*t^7.585)/y + (2*t^7.642)/(g1^32*y) + (g1^44*t^7.867)/y + (4*g1^10*t^7.924)/y + (3*t^7.981)/(g1^24*y) + (3*g1^18*t^8.264)/y + (5*t^8.321)/(g1^16*y) + (g1^26*t^8.603)/y + t^8.66/(g1^8*y) + (g1^34*t^8.943)/y - (t^4.415*y)/g1^2 - g1^12*t^6.509*y - (t^6.566*y)/g1^22 - (t^6.906*y)/g1^14 + 3*g1^2*t^7.585*y + (2*t^7.642*y)/g1^32 + g1^44*t^7.867*y + 4*g1^10*t^7.924*y + (3*t^7.981*y)/g1^24 + 3*g1^18*t^8.264*y + (5*t^8.321*y)/g1^16 + g1^26*t^8.603*y + (t^8.66*y)/g1^8 + g1^34*t^8.943*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 |
|---|---|---|---|---|---|---|---|---|
| 5217 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7212 | 0.9361 | 0.7705 | [M:[0.8314, 1.0562, 1.1686, 0.719, 0.8314, 0.6967, 0.9438, 0.6745], q:[0.4046, 0.7641], qb:[0.4268, 0.517], phi:[0.4719]] | t^2.023 + t^2.09 + t^2.157 + 2*t^2.494 + t^2.765 + 2*t^2.831 + t^3.573 + t^3.843 + t^4.047 + t^4.114 + 3*t^4.18 + 2*t^4.247 + t^4.314 + 3*t^4.518 + 2*t^4.584 + 2*t^4.651 + t^4.788 + 3*t^4.855 + 3*t^4.922 + 5*t^4.988 + 2*t^5.259 + 4*t^5.326 + t^5.529 + 3*t^5.596 + 3*t^5.663 + t^5.866 - 2*t^6. - t^4.416/y - t^4.416*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2954 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6952 | 0.8862 | 0.7845 | [M:[0.8322, 1.0559, 1.1678, 0.7204, 0.8322, 0.6957], q:[0.4038, 0.764], qb:[0.4285, 0.5156], phi:[0.472]] | t^2.087 + t^2.161 + 2*t^2.497 + t^2.758 + t^2.832 + t^3.168 + t^3.577 + t^3.839 + t^3.987 + 2*t^4.174 + 2*t^4.248 + t^4.322 + t^4.51 + 2*t^4.584 + 2*t^4.658 + t^4.845 + 2*t^4.919 + 4*t^4.993 + 3*t^5.255 + 3*t^5.329 + t^5.516 + t^5.59 + 3*t^5.664 + t^5.926 - t^6. - t^4.416/y - t^4.416*y | detail |