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 |
|---|---|---|---|---|---|---|---|---|---|
| 54599 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5754 | 0.7199 | 0.7992 | [X:[1.5698], M:[0.4302, 1.0111, 1.2905, 0.7095, 0.9889, 0.8382], q:[0.6452, 0.9246], qb:[0.3437, 0.3658], phi:[0.4302]] | [X:[[2]], M:[[-2], [-14], [-6], [6], [14], [24]], q:[[-3], [5]], qb:[[17], [-11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.129 + t^2.515 + t^2.581 + t^2.967 + t^3.033 + t^3.353 + t^3.419 + t^3.805 + t^3.871 + t^4.257 + t^4.643 + 2*t^4.71 + t^5.029 + 2*t^5.095 + 2*t^5.162 + 2*t^5.481 + 2*t^5.548 + t^5.867 + 3*t^5.934 + 2*t^6.32 + 3*t^6.386 + t^6.706 + 2*t^6.772 + t^6.838 - t^6.905 + 2*t^7.158 + 3*t^7.224 + t^7.29 - t^7.357 + t^7.544 + 4*t^7.61 + 3*t^7.676 + t^7.743 + 2*t^7.996 + 4*t^8.062 - t^8.129 - t^8.195 + t^8.382 + 4*t^8.448 + 2*t^8.515 - 2*t^8.581 - t^8.647 + 3*t^8.834 + 4*t^8.901 - t^8.967 - t^4.29/y - t^6.805/y - t^6.871/y + t^7.643/y + (2*t^7.71)/y + t^7.776/y + (2*t^8.095)/y + t^8.162/y + (2*t^8.481)/y + (3*t^8.548)/y + t^8.614/y + t^8.867/y + (3*t^8.934)/y - t^4.29*y - t^6.805*y - t^6.871*y + t^7.643*y + 2*t^7.71*y + t^7.776*y + 2*t^8.095*y + t^8.162*y + 2*t^8.481*y + 3*t^8.548*y + t^8.614*y + t^8.867*y + 3*t^8.934*y | g1^6*t^2.129 + g1^24*t^2.515 + t^2.581/g1^4 + g1^14*t^2.967 + t^3.033/g1^14 + g1^32*t^3.353 + g1^4*t^3.419 + g1^22*t^3.805 + t^3.871/g1^6 + g1^12*t^4.257 + g1^30*t^4.643 + 2*g1^2*t^4.71 + g1^48*t^5.029 + 2*g1^20*t^5.095 + (2*t^5.162)/g1^8 + 2*g1^38*t^5.481 + 2*g1^10*t^5.548 + g1^56*t^5.867 + 3*g1^28*t^5.934 + 2*g1^46*t^6.32 + 3*g1^18*t^6.386 + g1^64*t^6.706 + 2*g1^36*t^6.772 + g1^8*t^6.838 - t^6.905/g1^20 + 2*g1^54*t^7.158 + 3*g1^26*t^7.224 + t^7.29/g1^2 - t^7.357/g1^30 + g1^72*t^7.544 + 4*g1^44*t^7.61 + 3*g1^16*t^7.676 + t^7.743/g1^12 + 2*g1^62*t^7.996 + 4*g1^34*t^8.062 - g1^6*t^8.129 - t^8.195/g1^22 + g1^80*t^8.382 + 4*g1^52*t^8.448 + 2*g1^24*t^8.515 - (2*t^8.581)/g1^4 - t^8.647/g1^32 + 3*g1^70*t^8.834 + 4*g1^42*t^8.901 - g1^14*t^8.967 - t^4.29/(g1^2*y) - (g1^22*t^6.805)/y - t^6.871/(g1^6*y) + (g1^30*t^7.643)/y + (2*g1^2*t^7.71)/y + t^7.776/(g1^26*y) + (2*g1^20*t^8.095)/y + t^8.162/(g1^8*y) + (2*g1^38*t^8.481)/y + (3*g1^10*t^8.548)/y + t^8.614/(g1^18*y) + (g1^56*t^8.867)/y + (3*g1^28*t^8.934)/y - (t^4.29*y)/g1^2 - g1^22*t^6.805*y - (t^6.871*y)/g1^6 + g1^30*t^7.643*y + 2*g1^2*t^7.71*y + (t^7.776*y)/g1^26 + 2*g1^20*t^8.095*y + (t^8.162*y)/g1^8 + 2*g1^38*t^8.481*y + 3*g1^10*t^8.548*y + (t^8.614*y)/g1^18 + g1^56*t^8.867*y + 3*g1^28*t^8.934*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 |
|---|---|---|---|---|---|---|---|---|
| 56588 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.5958 | 0.7587 | 0.7852 | [X:[1.5696], M:[0.4304, 1.0128, 1.2912, 0.7088, 0.9872, 0.8353, 0.7088], q:[0.6456, 0.924], qb:[0.3416, 0.3672], phi:[0.4304]] | 2*t^2.126 + t^2.506 + t^2.582 + t^2.962 + t^3.038 + t^3.341 + t^3.418 + t^3.797 + 3*t^4.253 + 2*t^4.632 + 3*t^4.709 + t^5.012 + 3*t^5.088 + 3*t^5.165 + 3*t^5.467 + 3*t^5.544 + t^5.847 + 4*t^5.923 - t^6. - t^4.291/y - t^4.291*y | detail | |
| 56587 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5878 | 0.7405 | 0.7937 | [X:[1.5704], M:[0.4296, 1.0071, 1.2887, 0.7113, 0.9929, 0.845, 0.8592], q:[0.6444, 0.926], qb:[0.3486, 0.3627], phi:[0.4296]] | t^2.134 + t^2.535 + 2*t^2.577 + t^2.979 + t^3.021 + t^3.38 + t^3.824 + t^3.866 + t^4.268 + t^4.669 + 3*t^4.711 + t^5.07 + 3*t^5.113 + 4*t^5.155 + 2*t^5.514 + 2*t^5.556 + t^5.599 + t^5.915 + 3*t^5.958 - t^6. - t^4.289/y - t^4.289*y | detail | |
| 56586 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5886 | 0.7403 | 0.7952 | [X:[1.5739], M:[0.4261, 0.9829, 1.2784, 0.7216, 1.0171, 0.8864, 0.8181], q:[0.6392, 0.9347], qb:[0.3779, 0.3437], phi:[0.4261]] | t^2.165 + t^2.454 + t^2.557 + t^2.659 + t^2.949 + t^3.051 + t^3.443 + t^3.835 + t^3.938 + t^4.33 + t^4.619 + 2*t^4.722 + t^4.824 + t^4.909 + t^5.011 + 3*t^5.114 + 2*t^5.216 + t^5.318 + t^5.403 + t^5.506 + 2*t^5.608 + t^5.71 + t^5.898 - t^4.278/y - t^4.278*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48117 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.563 | 0.6963 | 0.8086 | [X:[1.5736], M:[0.4264, 0.9848, 1.2792, 0.7208, 1.0152], q:[0.6396, 0.934], qb:[0.3756, 0.3452], phi:[0.4264]] | t^2.162 + t^2.558 + t^2.954 + t^3.046 + t^3.35 + t^3.442 + t^3.533 + t^3.838 + t^3.929 + t^4.325 + 2*t^4.721 + 2*t^5.117 + t^5.208 + t^5.513 + t^5.604 + t^5.695 + t^5.909 - t^4.279/y - t^4.279*y | detail |