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 |
|---|---|---|---|---|---|---|---|---|---|
| 54954 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5827 | 0.7345 | 0.7934 | [M:[1.2845, 1.0027, 0.7155, 0.71, 0.9973, 1.0027], q:[0.355, 0.3605], qb:[0.6423, 0.9296], phi:[0.4282]] | [M:[[-6], [14], [6], [-22], [-14], [14]], q:[[-11], [17]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.13 + t^2.146 + t^2.569 + 2*t^3.008 + t^3.414 + t^3.431 + t^3.447 + t^3.854 + t^4.26 + t^4.276 + t^4.293 + t^4.699 + 2*t^4.715 + 3*t^5.138 + 2*t^5.155 + t^5.544 + t^5.561 + 3*t^5.577 + t^5.594 + t^5.984 - t^6. + 3*t^6.016 + t^6.39 + t^6.406 + 2*t^6.423 + t^6.439 + 2*t^6.456 + 2*t^6.829 + t^6.845 + 2*t^6.862 + t^6.895 + 3*t^7.268 + 2*t^7.285 + t^7.301 + t^7.674 + t^7.691 + 3*t^7.707 + 3*t^7.724 + t^7.74 + t^8.113 - 2*t^8.13 + 2*t^8.146 + 3*t^8.163 + t^8.52 + t^8.536 + 2*t^8.553 - t^8.569 + 3*t^8.586 + 2*t^8.602 + 2*t^8.959 + t^8.975 - t^4.285/y - t^6.414/y - t^6.854/y + (2*t^7.276)/y - t^7.293/y + t^7.699/y + (2*t^7.715)/y + (2*t^8.138)/y + (3*t^8.155)/y + (2*t^8.561)/y + (4*t^8.577)/y + t^8.594/y + t^8.984/y - t^4.285*y - t^6.414*y - t^6.854*y + 2*t^7.276*y - t^7.293*y + t^7.699*y + 2*t^7.715*y + 2*t^8.138*y + 3*t^8.155*y + 2*t^8.561*y + 4*t^8.577*y + t^8.594*y + t^8.984*y | t^2.13/g1^22 + g1^6*t^2.146 + t^2.569/g1^4 + 2*g1^14*t^3.008 + t^3.414/g1^24 + g1^4*t^3.431 + g1^32*t^3.447 + t^3.854/g1^6 + t^4.26/g1^44 + t^4.276/g1^16 + g1^12*t^4.293 + t^4.699/g1^26 + 2*g1^2*t^4.715 + (3*t^5.138)/g1^8 + 2*g1^20*t^5.155 + t^5.544/g1^46 + t^5.561/g1^18 + 3*g1^10*t^5.577 + g1^38*t^5.594 + t^5.984/g1^28 - t^6. + 3*g1^28*t^6.016 + t^6.39/g1^66 + t^6.406/g1^38 + (2*t^6.423)/g1^10 + g1^18*t^6.439 + 2*g1^46*t^6.456 + (2*t^6.829)/g1^48 + t^6.845/g1^20 + 2*g1^8*t^6.862 + g1^64*t^6.895 + (3*t^7.268)/g1^30 + (2*t^7.285)/g1^2 + g1^26*t^7.301 + t^7.674/g1^68 + t^7.691/g1^40 + (3*t^7.707)/g1^12 + 3*g1^16*t^7.724 + g1^44*t^7.74 + t^8.113/g1^50 - (2*t^8.13)/g1^22 + 2*g1^6*t^8.146 + 3*g1^34*t^8.163 + t^8.52/g1^88 + t^8.536/g1^60 + (2*t^8.553)/g1^32 - t^8.569/g1^4 + 3*g1^24*t^8.586 + 2*g1^52*t^8.602 + (2*t^8.959)/g1^70 + t^8.975/g1^42 - t^4.285/(g1^2*y) - t^6.414/(g1^24*y) - t^6.854/(g1^6*y) + (2*t^7.276)/(g1^16*y) - (g1^12*t^7.293)/y + t^7.699/(g1^26*y) + (2*g1^2*t^7.715)/y + (2*t^8.138)/(g1^8*y) + (3*g1^20*t^8.155)/y + (2*t^8.561)/(g1^18*y) + (4*g1^10*t^8.577)/y + (g1^38*t^8.594)/y + t^8.984/(g1^28*y) - (t^4.285*y)/g1^2 - (t^6.414*y)/g1^24 - (t^6.854*y)/g1^6 + (2*t^7.276*y)/g1^16 - g1^12*t^7.293*y + (t^7.699*y)/g1^26 + 2*g1^2*t^7.715*y + (2*t^8.138*y)/g1^8 + 3*g1^20*t^8.155*y + (2*t^8.561*y)/g1^18 + 4*g1^10*t^8.577*y + g1^38*t^8.594*y + (t^8.984*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56722 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.5963 | 0.759 | 0.7856 | [M:[1.2931, 0.9827, 0.7069, 0.7415, 1.0173, 0.9827, 0.8275], q:[0.3707, 0.3361], qb:[0.6466, 0.9224], phi:[0.431]] | t^2.121 + t^2.224 + t^2.482 + t^2.586 + 2*t^2.948 + t^3.31 + t^3.414 + t^3.879 + t^4.241 + t^4.345 + t^4.449 + t^4.603 + 3*t^4.707 + t^4.811 + t^4.965 + 3*t^5.069 + 3*t^5.173 + 3*t^5.431 + 3*t^5.534 + t^5.792 + 4*t^5.896 - t^6. - t^4.293/y - t^4.293*y | detail | |
| 56723 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.5978 | 0.762 | 0.7845 | [M:[1.2746, 1.0258, 0.7254, 0.6737, 0.9742, 1.0258, 0.7981], q:[0.3369, 0.3885], qb:[0.6373, 0.9378], phi:[0.4249]] | t^2.021 + t^2.176 + t^2.394 + t^2.549 + 2*t^3.077 + t^3.296 + t^3.451 + t^3.824 + t^4.042 + t^4.197 + t^4.352 + t^4.415 + 2*t^4.57 + 2*t^4.725 + t^4.789 + t^4.944 + 3*t^5.099 + 2*t^5.254 + t^5.317 + 3*t^5.472 + 2*t^5.627 + t^5.69 + 2*t^5.845 - t^6. - t^4.275/y - t^4.275*y | detail | |
| 56720 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5702 | 0.713 | 0.7996 | [M:[1.2861, 0.999, 0.7139, 0.7158, 1.001, 0.999, 1.1426], q:[0.3579, 0.356], qb:[0.6431, 0.9282], phi:[0.4287]] | t^2.142 + t^2.147 + 2*t^2.997 + t^3.422 + 2*t^3.428 + t^3.434 + t^3.858 + t^4.283 + t^4.289 + t^4.295 + t^4.714 + 2*t^5.139 + 2*t^5.145 + t^5.563 + 2*t^5.569 + 2*t^5.575 + t^5.581 + 2*t^5.994 - 2*t^6. - t^4.286/y - t^4.286*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48229 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ | 0.6987 | 0.854 | 0.8182 | [M:[1.0329, 1.0279, 0.9671, 0.9112, 0.9721, 1.0279], q:[0.4556, 0.5115], qb:[0.5165, 0.5773], phi:[0.4848]] | t^2.734 + t^2.901 + t^2.909 + 2*t^3.084 + t^3.099 + t^3.281 + t^4.188 + t^4.356 + t^4.371 + t^4.523 + t^4.538 + 2*t^4.553 + t^4.721 + t^4.736 + t^4.918 + t^5.467 + t^5.642 + t^5.81 + t^5.817 + t^5.985 + 2*t^5.993 - 3*t^6. - t^4.454/y - t^4.454*y | detail |