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 |
|---|---|---|---|---|---|---|---|---|---|
| 805 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7476 | 0.931 | 0.803 | [M:[0.8758, 1.0, 0.7516, 1.0, 0.8758, 0.7516], q:[0.5621, 0.5621], qb:[0.4379, 0.6863], phi:[0.4379]] | [M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [0, -2], [1, -5]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{2}^{2}$, ${ }M_{4}^{2}$ | -3 | 2*t^2.255 + 3*t^2.627 + 2*t^3. + t^3.941 + 2*t^4.314 + 3*t^4.51 + 4*t^4.686 + 6*t^4.882 + 2*t^5.059 + 9*t^5.255 + t^5.432 + 2*t^5.627 - 3*t^6. + 2*t^6.196 - 4*t^6.373 + 6*t^6.568 - 2*t^6.745 + 4*t^6.764 + 12*t^6.941 + 9*t^7.137 + 13*t^7.314 + 16*t^7.51 + 6*t^7.686 + 13*t^7.882 - 3*t^8.059 - 4*t^8.255 - 4*t^8.432 + 3*t^8.451 - 16*t^8.627 - 2*t^8.804 + 10*t^8.823 - t^4.314/y - (2*t^6.568)/y - (3*t^6.941)/y + t^7.51/y + (3*t^7.686)/y + (6*t^7.882)/y + (2*t^8.059)/y + (7*t^8.255)/y + (6*t^8.627)/y - (3*t^8.823)/y - t^4.314*y - 2*t^6.568*y - 3*t^6.941*y + t^7.51*y + 3*t^7.686*y + 6*t^7.882*y + 2*t^8.059*y + 7*t^8.255*y + 6*t^8.627*y - 3*t^8.823*y | (g1*t^2.255)/g2^5 + t^2.255/(g1*g2^3) + (3*t^2.627)/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + t^3.941/g2^3 + t^4.314/g1 + (g1*t^4.314)/g2^2 + (g1^2*t^4.51)/g2^10 + t^4.51/g2^8 + t^4.51/(g1^2*g2^6) + (g1^2*t^4.686)/g2 + 2*g2*t^4.686 + (g2^3*t^4.686)/g1^2 + (3*g1*t^4.882)/g2^7 + (3*t^4.882)/(g1*g2^5) + g1*g2^2*t^5.059 + (g2^4*t^5.059)/g1 + (g1^2*t^5.255)/g2^6 + (7*t^5.255)/g2^4 + t^5.255/(g1^2*g2^2) + g2^5*t^5.432 + (g1*t^5.627)/g2^3 + t^5.627/(g1*g2) - 3*t^6. + (g1*t^6.196)/g2^8 + t^6.196/(g1*g2^6) - 2*g1*g2*t^6.373 - (2*g2^3*t^6.373)/g1 + (g1^2*t^6.568)/g2^7 + (4*t^6.568)/g2^5 + t^6.568/(g1^2*g2^3) - 2*g2^4*t^6.745 + (g1^3*t^6.764)/g2^15 + (g1*t^6.764)/g2^13 + t^6.764/(g1*g2^11) + t^6.764/(g1^3*g2^9) + t^6.941/g1^3 + (g1^3*t^6.941)/g2^6 + (5*g1*t^6.941)/g2^4 + (5*t^6.941)/(g1*g2^2) + (3*g1^2*t^7.137)/g2^12 + (3*t^7.137)/g2^10 + (3*t^7.137)/(g1^2*g2^8) + (4*g1^2*t^7.314)/g2^3 + (5*t^7.314)/g2 + (4*g2*t^7.314)/g1^2 + (g1^3*t^7.51)/g2^11 + (7*g1*t^7.51)/g2^9 + (7*t^7.51)/(g1*g2^7) + t^7.51/(g1^3*g2^5) + 2*g1*t^7.686 + (g1^3*t^7.686)/g2^2 + (2*g2^2*t^7.686)/g1 + (g2^4*t^7.686)/g1^3 + (g1^2*t^7.882)/g2^8 + (11*t^7.882)/g2^6 + t^7.882/(g1^2*g2^4) - g1^2*g2*t^8.059 - g2^3*t^8.059 - (g2^5*t^8.059)/g1^2 - (2*g1*t^8.255)/g2^5 - (2*t^8.255)/(g1*g2^3) - 2*g1*g2^4*t^8.432 - (2*g2^6*t^8.432)/g1 + (g1^2*t^8.451)/g2^13 + t^8.451/g2^11 + t^8.451/(g1^2*g2^9) - (2*t^8.627)/g1^2 - (2*g1^2*t^8.627)/g2^4 - (12*t^8.627)/g2^2 - 2*g2^7*t^8.804 + (g1^3*t^8.823)/g2^12 + (4*g1*t^8.823)/g2^10 + (4*t^8.823)/(g1*g2^8) + t^8.823/(g1^3*g2^6) - t^4.314/(g2*y) - (g1*t^6.568)/(g2^6*y) - t^6.568/(g1*g2^4*y) - (3*t^6.941)/(g2^3*y) + t^7.51/(g2^8*y) + (3*g2*t^7.686)/y + (3*g1*t^7.882)/(g2^7*y) + (3*t^7.882)/(g1*g2^5*y) + (g1*g2^2*t^8.059)/y + (g2^4*t^8.059)/(g1*y) + (g1^2*t^8.255)/(g2^6*y) + (5*t^8.255)/(g2^4*y) + t^8.255/(g1^2*g2^2*y) + (3*g1*t^8.627)/(g2^3*y) + (3*t^8.627)/(g1*g2*y) - (g1^2*t^8.823)/(g2^11*y) - t^8.823/(g2^9*y) - t^8.823/(g1^2*g2^7*y) - (t^4.314*y)/g2 - (g1*t^6.568*y)/g2^6 - (t^6.568*y)/(g1*g2^4) - (3*t^6.941*y)/g2^3 + (t^7.51*y)/g2^8 + 3*g2*t^7.686*y + (3*g1*t^7.882*y)/g2^7 + (3*t^7.882*y)/(g1*g2^5) + g1*g2^2*t^8.059*y + (g2^4*t^8.059*y)/g1 + (g1^2*t^8.255*y)/g2^6 + (5*t^8.255*y)/g2^4 + (t^8.255*y)/(g1^2*g2^2) + (3*g1*t^8.627*y)/g2^3 + (3*t^8.627*y)/(g1*g2) - (g1^2*t^8.823*y)/g2^11 - (t^8.823*y)/g2^9 - (t^8.823*y)/(g1^2*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 1284 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7013 | 0.8626 | 0.813 | [M:[0.9771, 0.9313, 1.0229, 1.0687, 0.9771, 0.8854], q:[0.5802, 0.4427], qb:[0.4885, 0.5344], phi:[0.4885]] | t^2.656 + t^2.794 + 3*t^2.931 + t^3.069 + t^3.206 + t^4.122 + t^4.259 + 2*t^4.397 + 2*t^4.534 + 2*t^4.672 + t^4.809 + t^4.947 + t^5.313 + t^5.45 + 3*t^5.588 + 2*t^5.725 + 5*t^5.863 - t^4.466/y - t^4.466*y | detail | |
| 1285 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7683 | 0.9711 | 0.7912 | [M:[0.8775, 1.0, 0.7551, 1.0, 0.8775, 0.7551, 0.6837], q:[0.5612, 0.5612], qb:[0.4388, 0.6837], phi:[0.4388]] | t^2.051 + 2*t^2.265 + 3*t^2.633 + 2*t^3. + t^4.102 + 4*t^4.316 + 3*t^4.53 + 7*t^4.684 + 6*t^4.898 + 4*t^5.051 + 9*t^5.265 + t^5.419 + 2*t^5.633 - 3*t^6. - t^4.316/y - t^4.316*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 |
|---|---|---|---|---|---|---|---|---|---|
| 515 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7296 | 0.8971 | 0.8133 | [M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | t^2.297 + 3*t^2.672 + t^2.953 + t^3.047 + t^3.608 + t^4.008 + t^4.289 + t^4.383 + t^4.569 + t^4.594 + 2*t^4.664 + t^4.759 + t^4.944 + 3*t^4.969 + t^5.039 + t^5.25 + t^5.32 + 6*t^5.344 + t^5.625 + t^5.72 + t^5.905 - 3*t^6. - t^4.336/y - t^4.336*y | detail |