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 |
|---|---|---|---|---|---|---|---|---|---|
| 4567 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6779 | 0.8633 | 0.7853 | [M:[1.0591, 0.873, 1.127, 0.805, 1.195, 0.7371, 0.7799, 0.873], q:[0.5044, 0.4365], qb:[0.3685, 0.7585], phi:[0.483]] | [M:[[-38], [14], [-14], [-10], [10], [-34], [40], [14]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$ | ${}$ | -2 | t^2.211 + t^2.34 + t^2.415 + 2*t^2.619 + t^2.898 + t^3.177 + t^3.585 + t^3.864 + 2*t^4.068 + t^4.272 + t^4.422 + t^4.476 + t^4.551 + t^4.626 + t^4.68 + t^4.755 + 3*t^4.83 + 2*t^4.959 + 2*t^5.034 + t^5.109 + 4*t^5.238 + t^5.313 + t^5.388 + 3*t^5.517 + 2*t^5.796 + t^5.925 - 2*t^6. + 2*t^6.075 + 2*t^6.279 + t^6.354 + t^6.408 + 4*t^6.483 + t^6.612 + t^6.634 + 4*t^6.687 + t^6.762 + t^6.815 + t^6.837 + 3*t^6.891 + t^6.966 + t^7.019 + 3*t^7.041 + 3*t^7.095 + 2*t^7.17 + 2*t^7.245 + 2*t^7.298 + t^7.32 + 2*t^7.374 + 4*t^7.449 + t^7.524 + 3*t^7.578 + t^7.6 + 3*t^7.653 + 4*t^7.728 + 5*t^7.857 + 2*t^7.932 + 2*t^8.007 + 6*t^8.136 - 3*t^8.211 + t^8.264 + 2*t^8.286 - t^8.34 + 2*t^8.49 + 2*t^8.544 + t^8.566 - 6*t^8.619 + 6*t^8.694 + 2*t^8.747 + t^8.845 + 2*t^8.898 + 2*t^8.951 + 3*t^8.973 - t^4.449/y - t^6.66/y - t^6.789/y - t^7.068/y + t^7.272/y - t^7.347/y + (2*t^7.551)/y + t^7.755/y + (3*t^7.83)/y + (2*t^7.959)/y + (2*t^8.034)/y + (2*t^8.109)/y + (3*t^8.238)/y + t^8.313/y + t^8.388/y + (3*t^8.517)/y + t^8.592/y + (3*t^8.796)/y - t^8.871/y + t^8.925/y - t^4.449*y - t^6.66*y - t^6.789*y - t^7.068*y + t^7.272*y - t^7.347*y + 2*t^7.551*y + t^7.755*y + 3*t^7.83*y + 2*t^7.959*y + 2*t^8.034*y + 2*t^8.109*y + 3*t^8.238*y + t^8.313*y + t^8.388*y + 3*t^8.517*y + t^8.592*y + 3*t^8.796*y - t^8.871*y + t^8.925*y | t^2.211/g1^34 + g1^40*t^2.34 + t^2.415/g1^10 + 2*g1^14*t^2.619 + t^2.898/g1^12 + t^3.177/g1^38 + g1^10*t^3.585 + t^3.864/g1^16 + 2*g1^8*t^4.068 + g1^32*t^4.272 + t^4.422/g1^68 + g1^56*t^4.476 + g1^6*t^4.551 + t^4.626/g1^44 + g1^80*t^4.68 + g1^30*t^4.755 + (3*t^4.83)/g1^20 + 2*g1^54*t^4.959 + 2*g1^4*t^5.034 + t^5.109/g1^46 + 4*g1^28*t^5.238 + t^5.313/g1^22 + t^5.388/g1^72 + 3*g1^2*t^5.517 + (2*t^5.796)/g1^24 + g1^50*t^5.925 - 2*t^6. + (2*t^6.075)/g1^50 + (2*t^6.279)/g1^26 + t^6.354/g1^76 + g1^48*t^6.408 + (4*t^6.483)/g1^2 + g1^72*t^6.612 + t^6.634/g1^102 + 4*g1^22*t^6.687 + t^6.762/g1^28 + g1^96*t^6.815 + t^6.837/g1^78 + 3*g1^46*t^6.891 + t^6.966/g1^4 + g1^120*t^7.019 + (3*t^7.041)/g1^54 + 3*g1^70*t^7.095 + 2*g1^20*t^7.17 + (2*t^7.245)/g1^30 + 2*g1^94*t^7.298 + t^7.32/g1^80 + 2*g1^44*t^7.374 + (4*t^7.449)/g1^6 + t^7.524/g1^56 + 3*g1^68*t^7.578 + t^7.6/g1^106 + 3*g1^18*t^7.653 + (4*t^7.728)/g1^32 + 5*g1^42*t^7.857 + (2*t^7.932)/g1^8 + (2*t^8.007)/g1^58 + 6*g1^16*t^8.136 - (3*t^8.211)/g1^34 + g1^90*t^8.264 + (2*t^8.286)/g1^84 - g1^40*t^8.34 + (2*t^8.49)/g1^60 + 2*g1^64*t^8.544 + t^8.566/g1^110 - 6*g1^14*t^8.619 + (6*t^8.694)/g1^36 + 2*g1^88*t^8.747 + t^8.845/g1^136 + (2*t^8.898)/g1^12 + 2*g1^112*t^8.951 + (3*t^8.973)/g1^62 - t^4.449/(g1^6*y) - t^6.66/(g1^40*y) - (g1^34*t^6.789)/y - (g1^8*t^7.068)/y + (g1^32*t^7.272)/y - t^7.347/(g1^18*y) + (2*g1^6*t^7.551)/y + (g1^30*t^7.755)/y + (3*t^7.83)/(g1^20*y) + (2*g1^54*t^7.959)/y + (2*g1^4*t^8.034)/y + (2*t^8.109)/(g1^46*y) + (3*g1^28*t^8.238)/y + t^8.313/(g1^22*y) + t^8.388/(g1^72*y) + (3*g1^2*t^8.517)/y + t^8.592/(g1^48*y) + (3*t^8.796)/(g1^24*y) - t^8.871/(g1^74*y) + (g1^50*t^8.925)/y - (t^4.449*y)/g1^6 - (t^6.66*y)/g1^40 - g1^34*t^6.789*y - g1^8*t^7.068*y + g1^32*t^7.272*y - (t^7.347*y)/g1^18 + 2*g1^6*t^7.551*y + g1^30*t^7.755*y + (3*t^7.83*y)/g1^20 + 2*g1^54*t^7.959*y + 2*g1^4*t^8.034*y + (2*t^8.109*y)/g1^46 + 3*g1^28*t^8.238*y + (t^8.313*y)/g1^22 + (t^8.388*y)/g1^72 + 3*g1^2*t^8.517*y + (t^8.592*y)/g1^48 + (3*t^8.796*y)/g1^24 - (t^8.871*y)/g1^74 + g1^50*t^8.925*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 |
|---|---|---|---|---|---|---|---|---|
| 6081 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6982 | 0.9018 | 0.7743 | [M:[1.0631, 0.8715, 1.1285, 0.8061, 1.1939, 0.7407, 0.7756, 0.8715, 0.7103], q:[0.5011, 0.4357], qb:[0.3704, 0.7582], phi:[0.4837]] | t^2.131 + t^2.222 + t^2.327 + t^2.418 + 2*t^2.614 + t^2.902 + t^3.189 + t^3.582 + 2*t^4.065 + 2*t^4.262 + t^4.353 + t^4.444 + 2*t^4.458 + 2*t^4.549 + t^4.64 + t^4.654 + 3*t^4.745 + 3*t^4.837 + 2*t^4.941 + 3*t^5.033 + t^5.124 + 4*t^5.229 + 2*t^5.32 + t^5.412 + 3*t^5.516 + t^5.712 + 2*t^5.804 + t^5.909 - 2*t^6. - t^4.451/y - t^4.451*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2514 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.7304 | 0.9151 | 0.7981 | [M:[0.8825, 1.0292, 0.9708, 0.9408, 1.0592, 0.8525, 0.6696, 1.0292], q:[0.6029, 0.5146], qb:[0.4262, 0.5446], phi:[0.4779]] | t^2.009 + t^2.557 + t^2.648 + t^2.822 + t^2.867 + 2*t^3.087 + t^3.178 + t^4.018 + t^4.256 + t^4.346 + 2*t^4.521 + t^4.566 + t^4.611 + t^4.656 + t^4.701 + t^4.786 + t^4.831 + 2*t^4.876 + t^5.051 + 2*t^5.096 + t^5.115 + t^5.186 + t^5.205 + t^5.295 + t^5.38 + t^5.425 + t^5.515 + 2*t^5.645 + t^5.69 + 2*t^5.735 + t^5.91 + 2*t^5.955 - 3*t^6. - t^4.434/y - t^4.434*y | detail |