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 |
|---|---|---|---|---|---|---|---|---|---|
| 364 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7111 | 0.8727 | 0.8148 | [M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]] | [M:[[0, 0], [-4, -4], [-6, -6], [2, 2]], q:[[2, 6], [-2, -6]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.482 + t^2.655 + t^2.827 + t^3. + t^3.152 + t^3.173 + t^3.194 + t^4.089 + t^4.241 + t^4.393 + t^4.414 + t^4.565 + t^4.607 + t^4.738 + t^4.759 + t^4.932 + t^4.964 + t^5.126 + t^5.136 + 2*t^5.309 + t^5.482 + 3*t^5.655 + t^5.827 + t^5.979 - 2*t^6. + t^6.021 + t^6.303 + t^6.345 + t^6.388 - t^6.518 + t^6.571 + t^6.723 + t^6.744 + t^6.874 + t^6.895 + t^6.917 + t^7.047 + 2*t^7.068 + t^7.089 + 2*t^7.22 + 2*t^7.241 + t^7.283 + 3*t^7.393 + t^7.435 + t^7.446 + t^7.544 + t^7.565 + t^7.586 + t^7.607 + t^7.618 + t^7.717 + t^7.759 + 2*t^7.791 + t^7.801 + t^7.89 + t^7.953 + 2*t^7.964 + t^8.126 + 3*t^8.136 + t^8.179 + 2*t^8.309 + t^8.319 + t^8.482 + t^8.503 - t^8.655 - t^8.676 + t^8.697 + t^8.785 + t^8.806 - 2*t^8.827 + t^8.848 + t^8.958 - t^8.979 - t^4.414/y - t^6.895/y - t^7.068/y + t^7.759/y + t^7.932/y + t^8.136/y + t^8.309/y + (2*t^8.482)/y + t^8.633/y + (2*t^8.655)/y + t^8.676/y + t^8.806/y + (2*t^8.827)/y + t^8.848/y + t^8.979/y - t^4.414*y - t^6.895*y - t^7.068*y + t^7.759*y + t^7.932*y + t^8.136*y + t^8.309*y + 2*t^8.482*y + t^8.633*y + 2*t^8.655*y + t^8.676*y + t^8.806*y + 2*t^8.827*y + t^8.848*y + t^8.979*y | t^2.482/(g1^6*g2^6) + t^2.655/(g1^4*g2^4) + t^2.827/(g1^2*g2^2) + t^3. + g1^2*g2^10*t^3.152 + g1^2*g2^2*t^3.173 + (g1^2*t^3.194)/g2^6 + t^4.089/(g1^5*g2^13) + t^4.241/(g1^3*g2^3) + (g2^7*t^4.393)/g1 + t^4.414/(g1*g2) + g1*g2^9*t^4.565 + (g1*t^4.607)/g2^7 + g1^3*g2^11*t^4.738 + g1^3*g2^3*t^4.759 + g1^5*g2^5*t^4.932 + t^4.964/(g1^12*g2^12) + (g1^7*t^5.126)/g2 + t^5.136/(g1^10*g2^10) + (2*t^5.309)/(g1^8*g2^8) + t^5.482/(g1^6*g2^6) + (3*t^5.655)/(g1^4*g2^4) + t^5.827/(g1^2*g2^2) + g2^8*t^5.979 - 2*t^6. + t^6.021/g2^8 + g1^4*g2^20*t^6.303 + g1^4*g2^4*t^6.345 + (g1^4*t^6.388)/g2^12 - g1^6*g2^6*t^6.518 + t^6.571/(g1^11*g2^19) + t^6.723/(g1^9*g2^9) + t^6.744/(g1^9*g2^17) + (g2*t^6.874)/g1^7 + t^6.895/(g1^7*g2^7) + t^6.917/(g1^7*g2^15) + (g2^3*t^7.047)/g1^5 + (2*t^7.068)/(g1^5*g2^5) + t^7.089/(g1^5*g2^13) + (2*g2^5*t^7.22)/g1^3 + (2*t^7.241)/(g1^3*g2^3) + t^7.283/(g1^3*g2^19) + (3*g2^7*t^7.393)/g1 + t^7.435/(g1*g2^9) + t^7.446/(g1^18*g2^18) + g1*g2^17*t^7.544 + g1*g2^9*t^7.565 + g1*g2*t^7.586 + (g1*t^7.607)/g2^7 + t^7.618/(g1^16*g2^16) + g1^3*g2^19*t^7.717 + g1^3*g2^3*t^7.759 + (2*t^7.791)/(g1^14*g2^14) + (g1^3*t^7.801)/g2^13 + g1^5*g2^21*t^7.89 + (g1^5*t^7.953)/g2^3 + (2*t^7.964)/(g1^12*g2^12) + (g1^7*t^8.126)/g2 + (3*t^8.136)/(g1^10*g2^10) + t^8.179/(g1^10*g2^26) + (2*t^8.309)/(g1^8*g2^8) + (g1^9*t^8.319)/g2^7 + t^8.482/(g1^6*g2^6) + t^8.503/(g1^6*g2^14) - t^8.655/(g1^4*g2^4) - t^8.676/(g1^4*g2^12) + t^8.697/(g1^4*g2^20) + (g2^14*t^8.785)/g1^2 + (g2^6*t^8.806)/g1^2 - (2*t^8.827)/(g1^2*g2^2) + t^8.848/(g1^2*g2^10) + g2^16*t^8.958 - g2^8*t^8.979 - t^4.414/(g1*g2*y) - t^6.895/(g1^7*g2^7*y) - t^7.068/(g1^5*g2^5*y) + (g1^3*g2^3*t^7.759)/y + (g1^5*g2^5*t^7.932)/y + t^8.136/(g1^10*g2^10*y) + t^8.309/(g1^8*g2^8*y) + (2*t^8.482)/(g1^6*g2^6*y) + (g2^4*t^8.633)/(g1^4*y) + (2*t^8.655)/(g1^4*g2^4*y) + t^8.676/(g1^4*g2^12*y) + (g2^6*t^8.806)/(g1^2*y) + (2*t^8.827)/(g1^2*g2^2*y) + t^8.848/(g1^2*g2^10*y) + (g2^8*t^8.979)/y - (t^4.414*y)/(g1*g2) - (t^6.895*y)/(g1^7*g2^7) - (t^7.068*y)/(g1^5*g2^5) + g1^3*g2^3*t^7.759*y + g1^5*g2^5*t^7.932*y + (t^8.136*y)/(g1^10*g2^10) + (t^8.309*y)/(g1^8*g2^8) + (2*t^8.482*y)/(g1^6*g2^6) + (g2^4*t^8.633*y)/g1^4 + (2*t^8.655*y)/(g1^4*g2^4) + (t^8.676*y)/(g1^4*g2^12) + (g2^6*t^8.806*y)/g1^2 + (2*t^8.827*y)/(g1^2*g2^2) + (t^8.848*y)/(g1^2*g2^10) + g2^8*t^8.979*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 |
|---|---|---|---|---|---|---|---|---|
| 577 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.7168 | 0.8831 | 0.8116 | [M:[1.0, 0.8704, 0.8056, 1.0648, 0.9352], q:[0.5603, 0.4397], qb:[0.6341, 0.4955], phi:[0.4676]] | t^2.417 + t^2.611 + 2*t^2.806 + t^3. + t^3.167 + t^3.221 + t^4.041 + t^4.208 + t^4.376 + t^4.403 + t^4.57 + t^4.624 + t^4.765 + t^4.792 + t^4.834 + t^4.986 + t^5.028 + t^5.207 + 3*t^5.222 + 2*t^5.417 + 4*t^5.611 + t^5.806 + 2*t^5.973 - 3*t^6. - t^4.403/y - t^4.403*y | detail | |
| 578 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7061 | 0.8639 | 0.8173 | [M:[1.0, 0.8998, 0.8496, 1.0501, 1.0501], q:[0.5475, 0.4525], qb:[0.6029, 0.4974], phi:[0.4749]] | t^2.549 + t^2.699 + t^3. + t^3.134 + 2*t^3.15 + t^3.166 + t^4.14 + t^4.274 + t^4.409 + t^4.425 + t^4.559 + t^4.591 + t^4.71 + t^4.726 + t^4.876 + t^5.042 + t^5.098 + t^5.248 + t^5.399 + 3*t^5.699 + t^5.85 - 3*t^6. - t^4.425/y - t^4.425*y | detail | |
| 1809 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ | 0.5603 | 0.6728 | 0.8328 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]] | t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^3.9 + t^4.2 + 2*t^4.8 - t^4.2/y - t^4.2*y | detail | {a: 2241/4000, c: 2691/4000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, phi1: 2/5} |
| 575 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 0.711 | 0.8727 | 0.8148 | [M:[1.0, 0.8853, 0.8279, 1.0574], q:[0.5574, 0.4426], qb:[0.6147, 0.5], phi:[0.4713]] | t^2.484 + t^2.656 + t^2.828 + t^3. + 3*t^3.172 + t^4.07 + t^4.242 + 2*t^4.414 + 2*t^4.586 + 2*t^4.758 + t^4.93 + t^4.968 + t^5.102 + t^5.14 + 2*t^5.312 + t^5.484 + 3*t^5.656 + t^5.828 - t^4.414/y - t^4.414*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 |
|---|---|---|---|---|---|---|---|---|---|
| 227 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.7407 | 0.9101 | 0.8139 | [M:[1.0, 0.7195, 0.8597, 0.8597], q:[0.5, 0.5], qb:[0.6403, 0.6403], phi:[0.4299]] | t^2.158 + 3*t^2.579 + t^3. + 2*t^3.421 + 3*t^4.29 + t^4.317 + 4*t^4.71 + 3*t^4.738 + 3*t^5.131 + 7*t^5.158 + t^5.579 - t^6. - t^4.29/y - t^4.29*y | detail |