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 |
---|---|---|---|---|---|---|---|---|---|
1962 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6585 | 0.8435 | 0.7807 | [M:[1.2298, 1.1149, 0.7702, 0.8851, 0.7702, 0.7702], q:[0.75, 0.4053], qb:[0.3649, 0.4798], phi:[0.5]] | [M:[[2], [1], [-2], [-1], [-2], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{6}q_{1}q_{2}$ | ${}M_{4}q_{1}\tilde{q}_{1}$ | -1 | 3*t^2.311 + t^2.534 + t^2.655 + t^3. + t^3.345 + t^3.466 + t^3.811 + t^3.932 + t^4.034 + t^4.155 + t^4.379 + 6*t^4.621 + 3*t^4.845 + 3*t^4.966 + t^5.068 + t^5.189 + 4*t^5.311 + t^5.534 + 3*t^5.655 + 2*t^5.776 - t^6. + 3*t^6.121 - t^6.224 + 3*t^6.242 + 2*t^6.345 + 4*t^6.466 + t^6.568 + t^6.587 + 3*t^6.689 + t^6.811 + t^6.913 + 11*t^6.932 + 4*t^7.155 + 6*t^7.276 + 2*t^7.379 + t^7.397 + t^7.5 + t^7.603 + 8*t^7.621 + t^7.742 + 2*t^7.845 + t^7.863 + 7*t^7.966 + t^8.068 + 4*t^8.087 - 3*t^8.311 + t^8.413 + 5*t^8.432 - 4*t^8.534 + 6*t^8.553 + 8*t^8.776 + 3*t^8.897 - t^4.5/y - (2*t^6.811)/y + (3*t^7.621)/y + (3*t^7.845)/y + (3*t^7.966)/y + (3*t^8.189)/y + (3*t^8.311)/y + t^8.534/y + (4*t^8.655)/y + (3*t^8.776)/y + t^8.879/y - t^4.5*y - 2*t^6.811*y + 3*t^7.621*y + 3*t^7.845*y + 3*t^7.966*y + 3*t^8.189*y + 3*t^8.311*y + t^8.534*y + 4*t^8.655*y + 3*t^8.776*y + t^8.879*y | (3*t^2.311)/g1^2 + g1^3*t^2.534 + t^2.655/g1 + t^3. + g1*t^3.345 + t^3.466/g1^3 + t^3.811/g1^2 + t^3.932/g1^6 + g1^3*t^4.034 + t^4.155/g1 + g1^4*t^4.379 + (6*t^4.621)/g1^4 + 3*g1*t^4.845 + (3*t^4.966)/g1^3 + g1^6*t^5.068 + g1^2*t^5.189 + (4*t^5.311)/g1^2 + g1^3*t^5.534 + (3*t^5.655)/g1 + (2*t^5.776)/g1^5 - t^6. + (3*t^6.121)/g1^4 - g1^5*t^6.224 + (3*t^6.242)/g1^8 + 2*g1*t^6.345 + (4*t^6.466)/g1^3 + g1^6*t^6.568 + t^6.587/g1^7 + 3*g1^2*t^6.689 + t^6.811/g1^2 + g1^7*t^6.913 + (11*t^6.932)/g1^6 + (4*t^7.155)/g1 + (6*t^7.276)/g1^5 + 2*g1^4*t^7.379 + t^7.397/g1^9 + t^7.5 + g1^9*t^7.603 + (8*t^7.621)/g1^4 + t^7.742/g1^8 + 2*g1*t^7.845 + t^7.863/g1^12 + (7*t^7.966)/g1^3 + g1^6*t^8.068 + (4*t^8.087)/g1^7 - (3*t^8.311)/g1^2 + g1^7*t^8.413 + (5*t^8.432)/g1^6 - 4*g1^3*t^8.534 + (6*t^8.553)/g1^10 + (8*t^8.776)/g1^5 + (3*t^8.897)/g1^9 - t^4.5/y - (2*t^6.811)/(g1^2*y) + (3*t^7.621)/(g1^4*y) + (3*g1*t^7.845)/y + (3*t^7.966)/(g1^3*y) + (3*g1^2*t^8.189)/y + (3*t^8.311)/(g1^2*y) + (g1^3*t^8.534)/y + (4*t^8.655)/(g1*y) + (3*t^8.776)/(g1^5*y) + (g1^4*t^8.879)/y - t^4.5*y - (2*t^6.811*y)/g1^2 + (3*t^7.621*y)/g1^4 + 3*g1*t^7.845*y + (3*t^7.966*y)/g1^3 + 3*g1^2*t^8.189*y + (3*t^8.311*y)/g1^2 + g1^3*t^8.534*y + (4*t^8.655*y)/g1 + (3*t^8.776*y)/g1^5 + g1^4*t^8.879*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 |
---|---|---|---|---|---|---|---|---|
3017 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6793 | 0.8839 | 0.7685 | [M:[1.2268, 1.1134, 0.7732, 0.8866, 0.7732, 0.7732, 0.6804], q:[0.75, 0.4098], qb:[0.3634, 0.4768], phi:[0.5]] | t^2.041 + 3*t^2.32 + t^2.521 + t^2.66 + t^3. + t^3.34 + t^3.479 + t^3.82 + t^4.021 + t^4.083 + t^4.16 + 4*t^4.361 + t^4.562 + 6*t^4.639 + t^4.701 + 3*t^4.84 + 3*t^4.979 + 2*t^5.041 + t^5.18 + 4*t^5.32 + t^5.382 + 2*t^5.521 + 3*t^5.66 + 2*t^5.799 + t^5.861 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
637 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6406 | 0.8108 | 0.7901 | [M:[1.223, 1.1115, 0.777, 0.8885, 0.777], q:[0.75, 0.4156], qb:[0.3615, 0.473], phi:[0.5]] | 2*t^2.331 + t^2.503 + t^2.666 + t^3. + t^3.334 + t^3.497 + t^3.669 + t^3.831 + t^3.993 + t^4.003 + t^4.166 + t^4.338 + 3*t^4.662 + 2*t^4.834 + 2*t^4.997 + t^5.007 + t^5.169 + 3*t^5.331 + t^5.503 + 2*t^5.666 + t^5.828 + t^6. - t^4.5/y - t^4.5*y | detail |