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 |
|---|---|---|---|---|---|---|---|---|---|
| 3327 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6355 | 0.8324 | 0.7635 | [M:[0.9501, 1.1498, 0.9501, 0.7504, 0.8502, 0.8245], q:[0.7375, 0.3124], qb:[0.4123, 0.438], phi:[0.525]] | [M:[[4], [-12], [4], [20], [12], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$ | -1 | t^2.174 + 2*t^2.251 + t^2.474 + t^2.551 + 2*t^2.85 + 2*t^3.449 + t^3.826 + t^4.048 + t^4.126 + t^4.203 + t^4.348 + 2*t^4.425 + 3*t^4.502 + t^4.647 + 3*t^4.725 + 2*t^4.802 + t^4.947 + 3*t^5.024 + 5*t^5.101 + 2*t^5.324 + 2*t^5.401 + t^5.623 + 5*t^5.7 + t^5.923 - t^6. + t^6.077 + t^6.222 + 4*t^6.3 + 2*t^6.377 + 2*t^6.454 + 2*t^6.522 + 2*t^6.599 + 5*t^6.676 + 5*t^6.753 + t^6.821 + 5*t^6.899 + 4*t^6.976 + 4*t^7.053 + t^7.121 + 3*t^7.198 + 5*t^7.275 + 7*t^7.353 + t^7.421 + 3*t^7.498 + 4*t^7.575 + 5*t^7.652 + 3*t^7.797 + 3*t^7.874 + 8*t^7.952 + t^8.029 + t^8.097 + 2*t^8.174 - t^8.251 + 2*t^8.328 + 2*t^8.396 + t^8.405 - t^8.474 + 4*t^8.551 + 2*t^8.628 + 2*t^8.696 + 3*t^8.705 + 3*t^8.773 - 3*t^8.85 + 6*t^8.927 + 2*t^8.995 - t^4.575/y - t^6.826/y - t^7.048/y + t^7.425/y + t^7.502/y + t^7.647/y + (4*t^7.725)/y + (2*t^7.802)/y + (3*t^8.024)/y + (5*t^8.101)/y + (3*t^8.324)/y + (2*t^8.401)/y + (2*t^8.623)/y + (5*t^8.7)/y + (2*t^8.923)/y - t^4.575*y - t^6.826*y - t^7.048*y + t^7.425*y + t^7.502*y + t^7.647*y + 4*t^7.725*y + 2*t^7.802*y + 3*t^8.024*y + 5*t^8.101*y + 3*t^8.324*y + 2*t^8.401*y + 2*t^8.623*y + 5*t^8.7*y + 2*t^8.923*y | t^2.174/g1^18 + 2*g1^20*t^2.251 + t^2.474/g1^26 + g1^12*t^2.551 + 2*g1^4*t^2.85 + (2*t^3.449)/g1^12 + g1^18*t^3.826 + t^4.048/g1^28 + g1^10*t^4.126 + g1^48*t^4.203 + t^4.348/g1^36 + 2*g1^2*t^4.425 + 3*g1^40*t^4.502 + t^4.647/g1^44 + (3*t^4.725)/g1^6 + 2*g1^32*t^4.802 + t^4.947/g1^52 + (3*t^5.024)/g1^14 + 5*g1^24*t^5.101 + (2*t^5.324)/g1^22 + 2*g1^16*t^5.401 + t^5.623/g1^30 + 5*g1^8*t^5.7 + t^5.923/g1^38 - t^6. + g1^38*t^6.077 + t^6.222/g1^46 + (4*t^6.3)/g1^8 + 2*g1^30*t^6.377 + 2*g1^68*t^6.454 + (2*t^6.522)/g1^54 + (2*t^6.599)/g1^16 + 5*g1^22*t^6.676 + 5*g1^60*t^6.753 + t^6.821/g1^62 + (5*t^6.899)/g1^24 + 4*g1^14*t^6.976 + 4*g1^52*t^7.053 + t^7.121/g1^70 + (3*t^7.198)/g1^32 + 5*g1^6*t^7.275 + 7*g1^44*t^7.353 + t^7.421/g1^78 + (3*t^7.498)/g1^40 + (4*t^7.575)/g1^2 + 5*g1^36*t^7.652 + (3*t^7.797)/g1^48 + (3*t^7.874)/g1^10 + 8*g1^28*t^7.952 + g1^66*t^8.029 + t^8.097/g1^56 + (2*t^8.174)/g1^18 - g1^20*t^8.251 + 2*g1^58*t^8.328 + (2*t^8.396)/g1^64 + g1^96*t^8.405 - t^8.474/g1^26 + 4*g1^12*t^8.551 + 2*g1^50*t^8.628 + (2*t^8.696)/g1^72 + 3*g1^88*t^8.705 + (3*t^8.773)/g1^34 - 3*g1^4*t^8.85 + 6*g1^42*t^8.927 + (2*t^8.995)/g1^80 - t^4.575/(g1^2*y) - (g1^18*t^6.826)/y - t^7.048/(g1^28*y) + (g1^2*t^7.425)/y + (g1^40*t^7.502)/y + t^7.647/(g1^44*y) + (4*t^7.725)/(g1^6*y) + (2*g1^32*t^7.802)/y + (3*t^8.024)/(g1^14*y) + (5*g1^24*t^8.101)/y + (3*t^8.324)/(g1^22*y) + (2*g1^16*t^8.401)/y + (2*t^8.623)/(g1^30*y) + (5*g1^8*t^8.7)/y + (2*t^8.923)/(g1^38*y) - (t^4.575*y)/g1^2 - g1^18*t^6.826*y - (t^7.048*y)/g1^28 + g1^2*t^7.425*y + g1^40*t^7.502*y + (t^7.647*y)/g1^44 + (4*t^7.725*y)/g1^6 + 2*g1^32*t^7.802*y + (3*t^8.024*y)/g1^14 + 5*g1^24*t^8.101*y + (3*t^8.324*y)/g1^22 + 2*g1^16*t^8.401*y + (2*t^8.623*y)/g1^30 + 5*g1^8*t^8.7*y + (2*t^8.923*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3768 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.6226 | 0.8101 | 0.7686 | [M:[0.9519, 1.1442, 0.9519, 0.7597, 0.8558, 0.8123, 1.1442], q:[0.738, 0.3101], qb:[0.4062, 0.4497], phi:[0.524]] | t^2.149 + 2*t^2.279 + t^2.437 + 2*t^2.856 + 3*t^3.432 + t^3.851 + t^4.009 + t^4.14 + t^4.27 + t^4.297 + 2*t^4.428 + 3*t^4.558 + t^4.586 + 2*t^4.716 + t^4.874 + 2*t^5.005 + 4*t^5.135 + 2*t^5.293 + 2*t^5.581 + 7*t^5.712 + 2*t^5.869 - 3*t^6. - t^4.572/y - t^4.572*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2805 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.6215 | 0.8097 | 0.7675 | [M:[0.9461, 1.1616, 0.9461, 0.7307, 0.8384], q:[0.7365, 0.3173], qb:[0.4251, 0.4134], phi:[0.5269]] | 2*t^2.192 + t^2.227 + t^2.515 + 2*t^2.838 + t^3.45 + 2*t^3.485 + t^3.773 + t^4.061 + t^4.096 + t^4.131 + 3*t^4.384 + 2*t^4.419 + t^4.454 + 2*t^4.707 + t^4.742 + 5*t^5.03 + 2*t^5.066 + 2*t^5.354 + 2*t^5.642 + 6*t^5.677 + t^5.712 + 2*t^5.965 - t^6. - t^4.581/y - t^4.581*y | detail |