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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[-12], [4], [12], [-20], [-12], [14]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}^{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | 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. + 2*t^6.074 + t^6.148 + t^6.262 + 4*t^6.336 + 2*t^6.41 + 3*t^6.484 + 2*t^6.597 + 4*t^6.671 + 4*t^6.745 + 3*t^6.819 + 2*t^6.933 + 4*t^7.007 + 3*t^7.081 + 4*t^7.155 + t^7.268 + 3*t^7.342 + 3*t^7.416 + 5*t^7.49 + t^7.564 + t^7.604 + t^7.678 + 5*t^7.752 + 5*t^7.826 + t^7.974 + 3*t^8.013 + 3*t^8.161 + t^8.235 + t^8.275 + t^8.309 + 3*t^8.349 + 2*t^8.423 + 4*t^8.571 + 3*t^8.645 + 3*t^8.684 + t^8.758 + 3*t^8.832 + 4*t^8.906 + 6*t^8.98 - t^4.416/y - t^6.503/y - t^6.577/y - t^6.913/y + t^7.248/y + (2*t^7.584)/y + (2*t^7.658)/y + t^7.845/y + (3*t^7.919)/y + (2*t^7.993)/y + (4*t^8.255)/y + (4*t^8.329)/y + (2*t^8.664)/y + (2*t^8.926)/y - t^4.416*y - t^6.503*y - t^6.577*y - t^6.913*y + t^7.248*y + 2*t^7.584*y + 2*t^7.658*y + t^7.845*y + 3*t^7.919*y + 2*t^7.993*y + 4*t^8.255*y + 4*t^8.329*y + 2*t^8.664*y + 2*t^8.926*y | g1^14*t^2.087 + t^2.161/g1^20 + (2*t^2.497)/g1^12 + g1^30*t^2.758 + t^2.832/g1^4 + g1^4*t^3.168 + t^3.577/g1^22 + g1^20*t^3.839 + t^3.987/g1^48 + 2*g1^28*t^4.174 + (2*t^4.248)/g1^6 + t^4.322/g1^40 + g1^36*t^4.51 + 2*g1^2*t^4.584 + (2*t^4.658)/g1^32 + g1^44*t^4.845 + 2*g1^10*t^4.919 + (4*t^4.993)/g1^24 + 3*g1^18*t^5.255 + (3*t^5.329)/g1^16 + g1^60*t^5.516 + g1^26*t^5.59 + (3*t^5.664)/g1^8 + g1^34*t^5.926 - t^6. + (2*t^6.074)/g1^34 + t^6.148/g1^68 + g1^42*t^6.262 + 4*g1^8*t^6.336 + (2*t^6.41)/g1^26 + (3*t^6.484)/g1^60 + 2*g1^50*t^6.597 + 4*g1^16*t^6.671 + (4*t^6.745)/g1^18 + (3*t^6.819)/g1^52 + 2*g1^58*t^6.933 + 4*g1^24*t^7.007 + (3*t^7.081)/g1^10 + (4*t^7.155)/g1^44 + g1^66*t^7.268 + 3*g1^32*t^7.342 + (3*t^7.416)/g1^2 + (5*t^7.49)/g1^36 + t^7.564/g1^70 + g1^74*t^7.604 + g1^40*t^7.678 + 5*g1^6*t^7.752 + (5*t^7.826)/g1^28 + t^7.974/g1^96 + 3*g1^48*t^8.013 + (3*t^8.161)/g1^20 + t^8.235/g1^54 + g1^90*t^8.275 + t^8.309/g1^88 + 3*g1^56*t^8.349 + 2*g1^22*t^8.423 + (4*t^8.571)/g1^46 + (3*t^8.645)/g1^80 + 3*g1^64*t^8.684 + g1^30*t^8.758 + (3*t^8.832)/g1^4 + (4*t^8.906)/g1^38 + (6*t^8.98)/g1^72 - t^4.416/(g1^2*y) - (g1^12*t^6.503)/y - t^6.577/(g1^22*y) - t^6.913/(g1^14*y) + t^7.248/(g1^6*y) + (2*g1^2*t^7.584)/y + (2*t^7.658)/(g1^32*y) + (g1^44*t^7.845)/y + (3*g1^10*t^7.919)/y + (2*t^7.993)/(g1^24*y) + (4*g1^18*t^8.255)/y + (4*t^8.329)/(g1^16*y) + (2*t^8.664)/(g1^8*y) + (2*g1^34*t^8.926)/y - (t^4.416*y)/g1^2 - g1^12*t^6.503*y - (t^6.577*y)/g1^22 - (t^6.913*y)/g1^14 + (t^7.248*y)/g1^6 + 2*g1^2*t^7.584*y + (2*t^7.658*y)/g1^32 + g1^44*t^7.845*y + 3*g1^10*t^7.919*y + (2*t^7.993*y)/g1^24 + 4*g1^18*t^8.255*y + (4*t^8.329*y)/g1^16 + (2*t^8.664*y)/g1^8 + 2*g1^34*t^8.926*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 |
|---|---|---|---|---|---|---|---|---|
| 3541 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 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]] | 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. - t^4.415/y - t^4.415*y | detail | |
| 3542 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.716 | 0.9276 | 0.7718 | [M:[0.8326, 1.0558, 1.1674, 0.7211, 0.8326, 0.6953, 0.6694], q:[0.4034, 0.7639], qb:[0.4292, 0.515], phi:[0.4721]] | t^2.008 + t^2.086 + t^2.163 + 2*t^2.498 + t^2.755 + t^2.833 + t^3.167 + t^3.58 + t^3.837 + t^4.017 + t^4.094 + 3*t^4.172 + 2*t^4.249 + t^4.326 + 3*t^4.506 + 2*t^4.584 + 2*t^4.661 + t^4.763 + 2*t^4.841 + 2*t^4.918 + 4*t^4.996 + t^5.176 + 3*t^5.253 + 3*t^5.331 + t^5.51 + 2*t^5.588 + 3*t^5.665 + t^5.845 + t^5.923 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1918 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6746 | 0.8467 | 0.7967 | [M:[0.831, 1.0563, 1.169, 0.7183, 0.831], q:[0.4049, 0.7641], qb:[0.426, 0.5176], phi:[0.4718]] | t^2.155 + 2*t^2.493 + t^2.768 + t^2.831 + t^3.169 + t^3.57 + t^3.845 + t^3.908 + t^3.972 + t^4.183 + t^4.246 + t^4.31 + t^4.521 + 2*t^4.648 + t^4.923 + 4*t^4.986 + 2*t^5.261 + 3*t^5.324 + t^5.535 + t^5.599 + 2*t^5.662 - t^6. - t^4.415/y - t^4.415*y | detail |