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 |
|---|---|---|---|---|---|---|---|---|---|
| 4736 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6743 | 0.8518 | 0.7916 | [M:[1.0696, 0.8156, 1.0574, 0.8278, 1.1722, 0.7009, 1.1844, 0.6886], q:[0.5226, 0.4078], qb:[0.42, 0.7643], phi:[0.4713]] | [M:[[-30], [22], [4], [-12], [12], [14], [-22], [48]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{7}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.066 + t^2.103 + t^2.484 + t^2.828 + t^3.172 + t^3.209 + t^3.516 + t^3.553 + 2*t^3.861 + t^4.132 + t^4.168 + 2*t^4.205 + t^4.242 + 2*t^4.549 + t^4.586 + t^4.894 + t^4.93 + t^4.967 + t^5.238 + 2*t^5.275 + 2*t^5.311 + t^5.582 + 2*t^5.619 + 2*t^5.656 + 2*t^5.927 + t^5.963 - t^6. + t^6.037 + t^6.198 + t^6.234 + 2*t^6.271 + 2*t^6.308 + 2*t^6.344 + t^6.381 + t^6.418 + 2*t^6.615 + 2*t^6.652 + 3*t^6.689 + t^6.725 + t^6.762 + t^6.96 + t^6.996 + 4*t^7.033 + 2*t^7.07 - t^7.106 + t^7.304 + 2*t^7.341 + 5*t^7.377 + 2*t^7.414 + t^7.648 + 2*t^7.685 + 5*t^7.722 + 2*t^7.758 + 2*t^7.993 + t^8.029 + 2*t^8.066 + t^8.264 + t^8.3 + 2*t^8.337 + 2*t^8.374 + 5*t^8.41 + t^8.447 + t^8.484 + t^8.52 + 2*t^8.681 + 2*t^8.718 + 5*t^8.755 + 3*t^8.791 + t^8.864 - t^4.414/y - t^6.48/y - t^6.516/y + t^7.168/y + t^7.205/y + t^7.549/y + t^7.586/y - t^7.623/y + t^7.894/y + t^7.93/y + t^8.238/y + (2*t^8.275)/y + (3*t^8.311)/y + t^8.348/y - t^8.546/y + t^8.619/y + (2*t^8.656)/y + t^8.692/y + (2*t^8.927)/y + (2*t^8.963)/y - t^4.414*y - t^6.48*y - t^6.516*y + t^7.168*y + t^7.205*y + t^7.549*y + t^7.586*y - t^7.623*y + t^7.894*y + t^7.93*y + t^8.238*y + 2*t^8.275*y + 3*t^8.311*y + t^8.348*y - t^8.546*y + t^8.619*y + 2*t^8.656*y + t^8.692*y + 2*t^8.927*y + 2*t^8.963*y | g1^48*t^2.066 + g1^14*t^2.103 + t^2.484/g1^12 + t^2.828/g1^4 + g1^4*t^3.172 + t^3.209/g1^30 + g1^12*t^3.516 + t^3.553/g1^22 + 2*g1^20*t^3.861 + g1^96*t^4.132 + g1^62*t^4.168 + 2*g1^28*t^4.205 + t^4.242/g1^6 + 2*g1^36*t^4.549 + g1^2*t^4.586 + g1^44*t^4.894 + g1^10*t^4.93 + t^4.967/g1^24 + g1^52*t^5.238 + 2*g1^18*t^5.275 + (2*t^5.311)/g1^16 + g1^60*t^5.582 + 2*g1^26*t^5.619 + (2*t^5.656)/g1^8 + 2*g1^68*t^5.927 + g1^34*t^5.963 - t^6. + t^6.037/g1^34 + g1^144*t^6.198 + g1^110*t^6.234 + 2*g1^76*t^6.271 + 2*g1^42*t^6.308 + 2*g1^8*t^6.344 + t^6.381/g1^26 + t^6.418/g1^60 + 2*g1^84*t^6.615 + 2*g1^50*t^6.652 + 3*g1^16*t^6.689 + t^6.725/g1^18 + t^6.762/g1^52 + g1^92*t^6.96 + g1^58*t^6.996 + 4*g1^24*t^7.033 + (2*t^7.07)/g1^10 - t^7.106/g1^44 + g1^100*t^7.304 + 2*g1^66*t^7.341 + 5*g1^32*t^7.377 + (2*t^7.414)/g1^2 + g1^108*t^7.648 + 2*g1^74*t^7.685 + 5*g1^40*t^7.722 + 2*g1^6*t^7.758 + 2*g1^116*t^7.993 + g1^82*t^8.029 + 2*g1^48*t^8.066 + g1^192*t^8.264 + g1^158*t^8.3 + 2*g1^124*t^8.337 + 2*g1^90*t^8.374 + 5*g1^56*t^8.41 + g1^22*t^8.447 + t^8.484/g1^12 + t^8.52/g1^46 + 2*g1^132*t^8.681 + 2*g1^98*t^8.718 + 5*g1^64*t^8.755 + 3*g1^30*t^8.791 + t^8.864/g1^38 - t^4.414/(g1^2*y) - (g1^46*t^6.48)/y - (g1^12*t^6.516)/y + (g1^62*t^7.168)/y + (g1^28*t^7.205)/y + (g1^36*t^7.549)/y + (g1^2*t^7.586)/y - t^7.623/(g1^32*y) + (g1^44*t^7.894)/y + (g1^10*t^7.93)/y + (g1^52*t^8.238)/y + (2*g1^18*t^8.275)/y + (3*t^8.311)/(g1^16*y) + t^8.348/(g1^50*y) - (g1^94*t^8.546)/y + (g1^26*t^8.619)/y + (2*t^8.656)/(g1^8*y) + t^8.692/(g1^42*y) + (2*g1^68*t^8.927)/y + (2*g1^34*t^8.963)/y - (t^4.414*y)/g1^2 - g1^46*t^6.48*y - g1^12*t^6.516*y + g1^62*t^7.168*y + g1^28*t^7.205*y + g1^36*t^7.549*y + g1^2*t^7.586*y - (t^7.623*y)/g1^32 + g1^44*t^7.894*y + g1^10*t^7.93*y + g1^52*t^8.238*y + 2*g1^18*t^8.275*y + (3*t^8.311*y)/g1^16 + (t^8.348*y)/g1^50 - g1^94*t^8.546*y + g1^26*t^8.619*y + (2*t^8.656*y)/g1^8 + (t^8.692*y)/g1^42 + 2*g1^68*t^8.927*y + 2*g1^34*t^8.963*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 |
|---|---|---|---|---|---|---|---|---|
| 6331 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.669 | 0.8433 | 0.7933 | [M:[1.0731, 0.813, 1.0569, 0.8293, 1.1707, 0.6992, 1.187, 0.683, 1.0569], q:[0.5203, 0.4065], qb:[0.4227, 0.7642], phi:[0.4715]] | t^2.049 + t^2.098 + t^2.488 + 2*t^3.171 + t^3.219 + t^3.512 + t^3.561 + 2*t^3.854 + t^4.098 + t^4.147 + 2*t^4.195 + t^4.244 + 2*t^4.537 + t^4.585 + t^4.976 + 2*t^5.22 + 3*t^5.268 + t^5.317 + t^5.561 + 2*t^5.61 + 2*t^5.659 + 2*t^5.903 + t^5.951 - 2*t^6. - t^4.415/y - t^4.415*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2624 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6537 | 0.8118 | 0.8053 | [M:[1.0604, 0.8224, 1.0586, 0.8242, 1.1758, 0.7051, 1.1776], q:[0.5284, 0.4112], qb:[0.413, 0.7647], phi:[0.4707]] | t^2.115 + t^2.472 + t^2.824 + t^3.176 + t^3.181 + t^3.528 + t^3.533 + 2*t^3.879 + t^3.89 + 2*t^4.231 + t^4.236 + t^4.583 + t^4.588 + t^4.94 + t^4.945 + t^5.291 + 2*t^5.297 + t^5.643 + 2*t^5.648 + t^5.995 - t^6. - t^4.412/y - t^4.412*y | detail |