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 |
|---|---|---|---|---|---|---|---|---|---|
| 52396 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.5968 | 0.7591 | 0.7862 | [M:[1.2762, 1.0223, 0.7238, 0.6793, 0.9777, 0.8508], q:[0.3396, 0.3842], qb:[0.6381, 0.9365], phi:[0.4254]] | [M:[[-6], [14], [6], [-22], [-14], [-4]], q:[[-11], [17]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$ | ${}$ | -1 | t^2.038 + t^2.171 + 2*t^2.552 + t^2.933 + t^3.067 + t^3.314 + t^3.581 + t^3.829 + t^4.076 + t^4.209 + t^4.343 + 2*t^4.59 + 3*t^4.724 + t^4.971 + 5*t^5.105 + t^5.238 + t^5.352 + 2*t^5.486 + 2*t^5.619 + t^5.753 + 3*t^5.866 - t^6. + t^6.114 + 2*t^6.134 + 2*t^6.247 + 2*t^6.381 + 3*t^6.628 + t^6.648 + 2*t^6.762 + t^6.895 + t^7.009 - t^7.029 + 5*t^7.143 + t^7.162 + 4*t^7.276 + t^7.39 + 2*t^7.523 + 8*t^7.657 + t^7.791 + 3*t^7.904 + t^7.924 + 2*t^8.038 + t^8.152 + 2*t^8.285 + 2*t^8.305 + 5*t^8.419 - 4*t^8.552 + 3*t^8.666 + 2*t^8.686 + 4*t^8.8 + t^8.82 - t^8.933 - t^4.276/y - t^6.314/y - (2*t^6.829)/y + t^7.209/y + (2*t^7.59)/y + (4*t^7.724)/y + t^7.971/y + (3*t^8.105)/y + (2*t^8.238)/y + (3*t^8.486)/y + (3*t^8.619)/y + t^8.753/y + t^8.866/y - t^4.276*y - t^6.314*y - 2*t^6.829*y + t^7.209*y + 2*t^7.59*y + 4*t^7.724*y + t^7.971*y + 3*t^8.105*y + 2*t^8.238*y + 3*t^8.486*y + 3*t^8.619*y + t^8.753*y + t^8.866*y | t^2.038/g1^22 + g1^6*t^2.171 + (2*t^2.552)/g1^4 + t^2.933/g1^14 + g1^14*t^3.067 + t^3.314/g1^24 + g1^32*t^3.581 + t^3.829/g1^6 + t^4.076/g1^44 + t^4.209/g1^16 + g1^12*t^4.343 + (2*t^4.59)/g1^26 + 3*g1^2*t^4.724 + t^4.971/g1^36 + (5*t^5.105)/g1^8 + g1^20*t^5.238 + t^5.352/g1^46 + (2*t^5.486)/g1^18 + 2*g1^10*t^5.619 + g1^38*t^5.753 + (3*t^5.866)/g1^28 - t^6. + t^6.114/g1^66 + 2*g1^28*t^6.134 + (2*t^6.247)/g1^38 + (2*t^6.381)/g1^10 + (3*t^6.628)/g1^48 + g1^46*t^6.648 + (2*t^6.762)/g1^20 + g1^8*t^6.895 + t^7.009/g1^58 - g1^36*t^7.029 + (5*t^7.143)/g1^30 + g1^64*t^7.162 + (4*t^7.276)/g1^2 + t^7.39/g1^68 + (2*t^7.523)/g1^40 + (8*t^7.657)/g1^12 + g1^16*t^7.791 + (3*t^7.904)/g1^50 + g1^44*t^7.924 + (2*t^8.038)/g1^22 + t^8.152/g1^88 + (2*t^8.285)/g1^60 + 2*g1^34*t^8.305 + (5*t^8.419)/g1^32 - (4*t^8.552)/g1^4 + (3*t^8.666)/g1^70 + 2*g1^24*t^8.686 + (4*t^8.8)/g1^42 + g1^52*t^8.82 - t^8.933/g1^14 - t^4.276/(g1^2*y) - t^6.314/(g1^24*y) - (2*t^6.829)/(g1^6*y) + t^7.209/(g1^16*y) + (2*t^7.59)/(g1^26*y) + (4*g1^2*t^7.724)/y + t^7.971/(g1^36*y) + (3*t^8.105)/(g1^8*y) + (2*g1^20*t^8.238)/y + (3*t^8.486)/(g1^18*y) + (3*g1^10*t^8.619)/y + (g1^38*t^8.753)/y + t^8.866/(g1^28*y) - (t^4.276*y)/g1^2 - (t^6.314*y)/g1^24 - (2*t^6.829*y)/g1^6 + (t^7.209*y)/g1^16 + (2*t^7.59*y)/g1^26 + 4*g1^2*t^7.724*y + (t^7.971*y)/g1^36 + (3*t^8.105*y)/g1^8 + 2*g1^20*t^8.238*y + (3*t^8.486*y)/g1^18 + 3*g1^10*t^8.619*y + g1^38*t^8.753*y + (t^8.866*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 |
|---|---|---|---|---|---|---|---|---|
| 56466 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.6167 | 0.7962 | 0.7746 | [M:[1.2771, 1.0202, 0.7229, 0.6826, 0.9798, 0.8514, 0.7229], q:[0.3413, 0.3816], qb:[0.6385, 0.9358], phi:[0.4257]] | t^2.048 + 2*t^2.169 + 2*t^2.554 + t^2.939 + t^3.061 + t^3.325 + t^3.567 + t^4.096 + 2*t^4.217 + 3*t^4.338 + 2*t^4.602 + 5*t^4.723 + t^4.987 + 6*t^5.108 + 2*t^5.229 + t^5.373 + 3*t^5.494 + 2*t^5.615 + 2*t^5.736 + 2*t^5.879 - 2*t^6. - t^4.277/y - t^4.277*y | detail | |
| 56464 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ | 0.5954 | 0.7562 | 0.7874 | [M:[1.283, 1.0064, 0.717, 0.7042, 0.9936, 0.8553, 1.0064], q:[0.3521, 0.365], qb:[0.6415, 0.9309], phi:[0.4277]] | t^2.112 + t^2.151 + 2*t^2.566 + 2*t^3.019 + t^3.395 + t^3.473 + t^3.849 + t^4.225 + t^4.264 + t^4.302 + 2*t^4.678 + 3*t^4.717 + 5*t^5.132 + 2*t^5.17 + t^5.508 + 4*t^5.585 + t^5.624 + 2*t^5.961 - 2*t^6. - t^4.283/y - t^4.283*y | detail | |
| 56465 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6079 | 0.7775 | 0.7818 | [M:[1.2857, 1.0001, 0.7143, 0.7142, 0.9999, 0.8571, 0.8573], q:[0.3571, 0.3572], qb:[0.6428, 0.9286], phi:[0.4286]] | t^2.142 + t^2.143 + 2*t^2.571 + t^2.572 + 2*t^3. + t^3.429 + t^3.857 + 2*t^4.285 + t^4.286 + 6*t^4.714 + t^4.715 + t^5.142 + 8*t^5.143 + t^5.144 + t^5.571 + 5*t^5.572 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47192 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.5838 | 0.7365 | 0.7926 | [M:[1.2777, 1.0186, 0.7223, 0.685, 0.9814], q:[0.3425, 0.3798], qb:[0.6389, 0.9352], phi:[0.4259]] | t^2.055 + t^2.167 + t^2.555 + t^2.944 + t^3.056 + t^3.333 + t^3.445 + t^3.556 + t^3.833 + t^4.11 + t^4.222 + t^4.334 + t^4.61 + 2*t^4.722 + t^4.999 + 3*t^5.111 + t^5.223 + t^5.388 + 2*t^5.5 + 2*t^5.611 + t^5.723 + 2*t^5.888 - t^4.278/y - t^4.278*y | detail |