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 |
|---|---|---|---|---|---|---|---|---|---|
| 45952 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6153 | 0.7974 | 0.7716 | [M:[0.9656, 0.707], q:[0.7414, 0.293], qb:[0.4828, 0.4139], phi:[0.5172]] | [M:[[4], [5]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.121 + t^2.327 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + t^3.466 + 2*t^3.673 + t^4.035 + 4*t^4.242 + 3*t^4.448 + t^4.655 + 2*t^4.811 + 3*t^5.018 + 3*t^5.224 + t^5.38 + 2*t^5.431 + 3*t^5.587 + 5*t^5.793 + 3*t^6.156 - t^6.207 + 8*t^6.363 + t^6.413 + 5*t^6.569 + t^6.62 + t^6.725 + 2*t^6.776 + 5*t^6.932 + 8*t^7.138 - t^7.189 + 6*t^7.345 + 3*t^7.501 + t^7.552 + 8*t^7.708 - t^7.758 + 8*t^7.914 + 2*t^8.07 - t^8.121 + 7*t^8.277 - 4*t^8.327 + 14*t^8.484 - t^8.534 + 7*t^8.69 + t^8.741 + 3*t^8.846 - t^8.897 - t^4.552/y - t^6.673/y + t^7.242/y + (2*t^7.448)/y + (2*t^7.811)/y + (3*t^8.018)/y + (3*t^8.224)/y + (4*t^8.431)/y + (3*t^8.587)/y + t^8.637/y + (5*t^8.793)/y - t^4.552*y - t^6.673*y + t^7.242*y + 2*t^7.448*y + 2*t^7.811*y + 3*t^8.018*y + 3*t^8.224*y + 4*t^8.431*y + 3*t^8.587*y + t^8.637*y + 5*t^8.793*y | 2*g1^5*t^2.121 + t^2.327/g1^3 + g1^12*t^2.69 + g1^4*t^2.897 + t^3.103/g1^4 + t^3.31/g1^12 + g1^11*t^3.466 + 2*g1^3*t^3.673 + g1^18*t^4.035 + 4*g1^10*t^4.242 + 3*g1^2*t^4.448 + t^4.655/g1^6 + 2*g1^17*t^4.811 + 3*g1^9*t^5.018 + 3*g1*t^5.224 + g1^24*t^5.38 + (2*t^5.431)/g1^7 + 3*g1^16*t^5.587 + 5*g1^8*t^5.793 + 3*g1^23*t^6.156 - t^6.207/g1^8 + 8*g1^15*t^6.363 + t^6.413/g1^16 + 5*g1^7*t^6.569 + t^6.62/g1^24 + g1^30*t^6.725 + (2*t^6.776)/g1 + 5*g1^22*t^6.932 + 8*g1^14*t^7.138 - t^7.189/g1^17 + 6*g1^6*t^7.345 + 3*g1^29*t^7.501 + t^7.552/g1^2 + 8*g1^21*t^7.708 - t^7.758/g1^10 + 8*g1^13*t^7.914 + 2*g1^36*t^8.07 - g1^5*t^8.121 + 7*g1^28*t^8.277 - (4*t^8.327)/g1^3 + 14*g1^20*t^8.484 - t^8.534/g1^11 + 7*g1^12*t^8.69 + t^8.741/g1^19 + 3*g1^35*t^8.846 - g1^4*t^8.897 - t^4.552/(g1^2*y) - (g1^3*t^6.673)/y + (g1^10*t^7.242)/y + (2*g1^2*t^7.448)/y + (2*g1^17*t^7.811)/y + (3*g1^9*t^8.018)/y + (3*g1*t^8.224)/y + (4*t^8.431)/(g1^7*y) + (3*g1^16*t^8.587)/y + t^8.637/(g1^15*y) + (5*g1^8*t^8.793)/y - (t^4.552*y)/g1^2 - g1^3*t^6.673*y + g1^10*t^7.242*y + 2*g1^2*t^7.448*y + 2*g1^17*t^7.811*y + 3*g1^9*t^8.018*y + 3*g1*t^8.224*y + (4*t^8.431*y)/g1^7 + 3*g1^16*t^8.587*y + (t^8.637*y)/g1^15 + 5*g1^8*t^8.793*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 |
|---|---|---|---|---|---|---|---|---|
| 46176 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.6123 | 0.7911 | 0.7741 | [M:[0.9708, 0.7135, 1.0292], q:[0.7427, 0.2865], qb:[0.4854, 0.4269], phi:[0.5146]] | 2*t^2.14 + t^2.316 + t^2.737 + 2*t^3.088 + t^3.263 + t^3.509 + 2*t^3.684 + t^4.105 + 4*t^4.281 + 3*t^4.456 + t^4.632 + 2*t^4.877 + t^5.053 + 4*t^5.228 + 3*t^5.403 + t^5.474 + 2*t^5.649 + 5*t^5.825 - t^6. - t^4.544/y - t^4.544*y | detail | |
| 46147 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6188 | 0.8048 | 0.7688 | [M:[0.9605, 0.7006, 0.9605], q:[0.7401, 0.2994], qb:[0.4802, 0.4012], phi:[0.5198]] | 2*t^2.102 + t^2.339 + t^2.644 + 2*t^2.881 + t^3.356 + t^3.424 + 2*t^3.661 + t^3.966 + 4*t^4.204 + 3*t^4.441 + t^4.678 + 2*t^4.746 + 5*t^4.983 + 2*t^5.22 + t^5.289 + t^5.457 + 4*t^5.526 + 6*t^5.763 - t^6. - t^4.559/y - t^4.559*y | detail | |
| 46257 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6298 | 0.8204 | 0.7677 | [M:[0.9757, 0.7196, 0.8168], q:[0.7439, 0.2804], qb:[0.4879, 0.4393], phi:[0.5121]] | 2*t^2.159 + t^2.305 + t^2.45 + t^2.781 + t^2.927 + t^3.073 + t^3.219 + 2*t^3.695 + t^4.172 + 4*t^4.318 + 3*t^4.464 + 3*t^4.609 + t^4.755 + t^4.901 + 2*t^4.94 + 3*t^5.086 + 4*t^5.232 + 3*t^5.378 + t^5.523 + t^5.563 + t^5.669 + t^5.708 + 4*t^5.854 - t^4.536/y - t^4.536*y | detail | |
| 46229 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5438 | 0.6982 | 0.7789 | [M:[1.0588, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | t^2.118 + 3*t^2.471 + t^2.824 + t^3.176 + t^3.529 + 2*t^3.882 + 2*t^4.235 + 3*t^4.588 + 7*t^4.941 + 5*t^5.294 + 2*t^5.647 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 21375/39304, c: 6861/9826, M1: 18/17, M2: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45936 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5949 | 0.7584 | 0.7845 | [M:[0.9671], q:[0.7418, 0.2911], qb:[0.4836, 0.4178], phi:[0.5164]] | t^2.127 + t^2.324 + t^2.704 + t^2.901 + t^3.099 + t^3.296 + t^3.479 + 2*t^3.676 + t^3.873 + t^4.056 + 2*t^4.253 + 2*t^4.451 + t^4.648 + t^4.831 + 2*t^5.028 + 2*t^5.225 + t^5.408 + t^5.423 + 2*t^5.605 + 3*t^5.803 + t^6. - t^4.549/y - t^4.549*y | detail |