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 |
|---|---|---|---|---|---|---|---|---|---|
| 2509 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ | 0.7109 | 0.8797 | 0.8082 | [M:[1.0363, 0.8911, 0.8549, 1.0726, 1.0, 0.9274, 0.9274], q:[0.5544, 0.4093], qb:[0.5907, 0.5181], phi:[0.4819]] | [M:[[2], [-6], [-8], [4], [0], [-4], [-4]], q:[[3], [-5]], qb:[[5], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.565 + t^2.673 + 2*t^2.782 + t^2.891 + t^3. + t^3.109 + t^3.901 + t^4.228 + t^4.337 + t^4.446 + t^4.554 + t^4.663 + 2*t^4.772 + t^4.881 + t^4.99 + t^5.129 + t^5.238 + 3*t^5.347 + 2*t^5.456 + 4*t^5.565 + 3*t^5.673 + 3*t^5.782 + t^5.891 - 2*t^6. - t^6.109 - t^6.218 - t^6.327 - t^6.435 + t^6.466 - t^6.544 + t^6.575 + 2*t^6.684 + 2*t^6.792 + 2*t^6.901 + 3*t^7.01 + 3*t^7.119 + 4*t^7.228 + 4*t^7.337 + 3*t^7.446 + 4*t^7.554 + 2*t^7.663 + t^7.694 + 2*t^7.772 + 2*t^7.803 + 3*t^7.911 - t^7.99 + 3*t^8.02 - t^8.099 + 6*t^8.129 - t^8.208 + 5*t^8.238 + 7*t^8.347 + 5*t^8.456 + t^8.565 + t^8.673 - 5*t^8.782 - 4*t^8.891 - t^4.446/y - t^7.01/y - t^7.119/y - t^7.228/y + t^7.663/y + t^7.772/y + t^7.881/y + t^8.238/y + (2*t^8.347)/y + (3*t^8.456)/y + (3*t^8.565)/y + (4*t^8.673)/y + (3*t^8.782)/y + (3*t^8.891)/y - t^4.446*y - t^7.01*y - t^7.119*y - t^7.228*y + t^7.663*y + t^7.772*y + t^7.881*y + t^8.238*y + 2*t^8.347*y + 3*t^8.456*y + 3*t^8.565*y + 4*t^8.673*y + 3*t^8.782*y + 3*t^8.891*y | t^2.565/g1^8 + t^2.673/g1^6 + (2*t^2.782)/g1^4 + t^2.891/g1^2 + t^3. + g1^2*t^3.109 + t^3.901/g1^11 + t^4.228/g1^5 + t^4.337/g1^3 + t^4.446/g1 + g1*t^4.554 + g1^3*t^4.663 + 2*g1^5*t^4.772 + g1^7*t^4.881 + g1^9*t^4.99 + t^5.129/g1^16 + t^5.238/g1^14 + (3*t^5.347)/g1^12 + (2*t^5.456)/g1^10 + (4*t^5.565)/g1^8 + (3*t^5.673)/g1^6 + (3*t^5.782)/g1^4 + t^5.891/g1^2 - 2*t^6. - g1^2*t^6.109 - g1^4*t^6.218 - g1^6*t^6.327 - g1^8*t^6.435 + t^6.466/g1^19 - g1^10*t^6.544 + t^6.575/g1^17 + (2*t^6.684)/g1^15 + (2*t^6.792)/g1^13 + (2*t^6.901)/g1^11 + (3*t^7.01)/g1^9 + (3*t^7.119)/g1^7 + (4*t^7.228)/g1^5 + (4*t^7.337)/g1^3 + (3*t^7.446)/g1 + 4*g1*t^7.554 + 2*g1^3*t^7.663 + t^7.694/g1^24 + 2*g1^5*t^7.772 + (2*t^7.803)/g1^22 + (3*t^7.911)/g1^20 - g1^9*t^7.99 + (3*t^8.02)/g1^18 - g1^11*t^8.099 + (6*t^8.129)/g1^16 - g1^13*t^8.208 + (5*t^8.238)/g1^14 + (7*t^8.347)/g1^12 + (5*t^8.456)/g1^10 + t^8.565/g1^8 + t^8.673/g1^6 - (5*t^8.782)/g1^4 - (4*t^8.891)/g1^2 - t^4.446/(g1*y) - t^7.01/(g1^9*y) - t^7.119/(g1^7*y) - t^7.228/(g1^5*y) + (g1^3*t^7.663)/y + (g1^5*t^7.772)/y + (g1^7*t^7.881)/y + t^8.238/(g1^14*y) + (2*t^8.347)/(g1^12*y) + (3*t^8.456)/(g1^10*y) + (3*t^8.565)/(g1^8*y) + (4*t^8.673)/(g1^6*y) + (3*t^8.782)/(g1^4*y) + (3*t^8.891)/(g1^2*y) - (t^4.446*y)/g1 - (t^7.01*y)/g1^9 - (t^7.119*y)/g1^7 - (t^7.228*y)/g1^5 + g1^3*t^7.663*y + g1^5*t^7.772*y + g1^7*t^7.881*y + (t^8.238*y)/g1^14 + (2*t^8.347*y)/g1^12 + (3*t^8.456*y)/g1^10 + (3*t^8.565*y)/g1^8 + (4*t^8.673*y)/g1^6 + (3*t^8.782*y)/g1^4 + (3*t^8.891*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4555 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7316 | 0.9191 | 0.796 | [M:[1.0342, 0.8973, 0.8631, 1.0685, 1.0, 0.9315, 0.9315, 0.6882], q:[0.5513, 0.4144], qb:[0.5856, 0.5171], phi:[0.4829]] | t^2.065 + t^2.589 + t^2.692 + 2*t^2.795 + t^2.897 + t^3. + t^3.103 + t^4.129 + t^4.243 + t^4.346 + t^4.449 + t^4.551 + 2*t^4.654 + 3*t^4.757 + 3*t^4.859 + 2*t^4.962 + t^5.065 + t^5.167 + t^5.179 + t^5.281 + 3*t^5.384 + 2*t^5.487 + 4*t^5.589 + 3*t^5.692 + 3*t^5.795 + t^5.897 - 2*t^6. - t^4.449/y - t^4.449*y | detail | |
| 4554 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7077 | 0.8733 | 0.8104 | [M:[1.0333, 0.9, 0.8667, 1.0666, 1.0, 0.9334, 0.9334, 1.0333], q:[0.55, 0.4167], qb:[0.5833, 0.5167], phi:[0.4833]] | t^2.6 + t^2.7 + 2*t^2.8 + t^3. + 2*t^3.1 + t^3.95 + t^4.25 + t^4.35 + t^4.45 + t^4.55 + t^4.65 + 2*t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.3 + 3*t^5.4 + t^5.5 + 3*t^5.6 + 2*t^5.7 + 3*t^5.8 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1435 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.7048 | 0.8677 | 0.8122 | [M:[1.0305, 0.9086, 0.8782, 1.0609, 1.0, 0.9391], q:[0.5457, 0.4239], qb:[0.5761, 0.5152], phi:[0.4848]] | t^2.635 + t^2.726 + t^2.817 + t^2.909 + t^3. + t^3.091 + t^3.183 + t^3.997 + t^4.272 + t^4.363 + t^4.454 + t^4.546 + t^4.637 + 2*t^4.728 + t^4.82 + t^4.911 + t^5.269 + t^5.36 + 2*t^5.452 + t^5.543 + 2*t^5.635 + 2*t^5.726 + 3*t^5.817 + t^5.909 - t^6. - t^4.454/y - t^4.454*y | detail |