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 |
|---|---|---|---|---|---|---|---|---|---|
| 2640 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6791 | 0.8461 | 0.8026 | [M:[1.0181, 0.7758, 0.9575, 0.8364, 1.1636, 0.7758, 1.0425], q:[0.594, 0.3879], qb:[0.4485, 0.7758], phi:[0.4485]] | [M:[[-18], [2], [-13], [-3], [3], [2], [13]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.327 + t^2.509 + t^2.691 + t^3.054 + t^3.127 + t^3.491 + t^3.854 + t^4.036 + t^4.109 + t^4.291 + t^4.473 + 3*t^4.655 + 2*t^4.836 + t^4.909 + 3*t^5.018 + t^5.2 + 2*t^5.382 + 2*t^5.455 + t^5.636 + t^5.745 + 2*t^5.818 - 2*t^6. + t^6.109 + 2*t^6.182 + t^6.255 + 2*t^6.364 + t^6.437 + 2*t^6.545 + 2*t^6.618 + 2*t^6.8 + 5*t^6.982 + t^7.091 + 3*t^7.164 + 3*t^7.237 + 3*t^7.345 + t^7.418 + 3*t^7.527 + 2*t^7.6 + 4*t^7.709 + t^7.782 + t^7.891 + 2*t^7.964 + t^8.037 + 3*t^8.072 + 3*t^8.146 - 4*t^8.327 + t^8.4 + 3*t^8.436 + t^8.509 + 2*t^8.582 - t^8.691 + 2*t^8.764 + t^8.8 + 3*t^8.873 + 3*t^8.946 - t^4.345/y - (2*t^6.673)/y - t^7.036/y + t^7.291/y - t^7.4/y + (2*t^7.655)/y + (2*t^7.836)/y + (4*t^8.018)/y + t^8.2/y + (2*t^8.382)/y + (2*t^8.455)/y + t^8.563/y + t^8.636/y + t^8.745/y + (3*t^8.818)/y - t^4.345*y - 2*t^6.673*y - t^7.036*y + t^7.291*y - t^7.4*y + 2*t^7.655*y + 2*t^7.836*y + 4*t^8.018*y + t^8.2*y + 2*t^8.382*y + 2*t^8.455*y + t^8.563*y + t^8.636*y + t^8.745*y + 3*t^8.818*y | 2*g1^2*t^2.327 + t^2.509/g1^3 + t^2.691/g1^8 + t^3.054/g1^18 + g1^13*t^3.127 + g1^3*t^3.491 + t^3.854/g1^7 + t^4.036/g1^12 + g1^19*t^4.109 + g1^14*t^4.291 + g1^9*t^4.473 + 3*g1^4*t^4.655 + (2*t^4.836)/g1 + g1^30*t^4.909 + (3*t^5.018)/g1^6 + t^5.2/g1^11 + (2*t^5.382)/g1^16 + 2*g1^15*t^5.455 + g1^10*t^5.636 + t^5.745/g1^26 + 2*g1^5*t^5.818 - 2*t^6. + t^6.109/g1^36 + (2*t^6.182)/g1^5 + g1^26*t^6.255 + (2*t^6.364)/g1^10 + g1^21*t^6.437 + (2*t^6.545)/g1^15 + 2*g1^16*t^6.618 + 2*g1^11*t^6.8 + 5*g1^6*t^6.982 + t^7.091/g1^30 + 3*g1*t^7.164 + 3*g1^32*t^7.237 + (3*t^7.345)/g1^4 + g1^27*t^7.418 + (3*t^7.527)/g1^9 + 2*g1^22*t^7.6 + (4*t^7.709)/g1^14 + g1^17*t^7.782 + t^7.891/g1^19 + 2*g1^12*t^7.964 + g1^43*t^8.037 + (3*t^8.072)/g1^24 + 3*g1^7*t^8.146 - 4*g1^2*t^8.327 + g1^33*t^8.4 + (3*t^8.436)/g1^34 + t^8.509/g1^3 + 2*g1^28*t^8.582 - t^8.691/g1^8 + 2*g1^23*t^8.764 + t^8.8/g1^44 + (3*t^8.873)/g1^13 + 3*g1^18*t^8.946 - t^4.345/(g1^4*y) - (2*t^6.673)/(g1^2*y) - t^7.036/(g1^12*y) + (g1^14*t^7.291)/y - t^7.4/(g1^22*y) + (2*g1^4*t^7.655)/y + (2*t^7.836)/(g1*y) + (4*t^8.018)/(g1^6*y) + t^8.2/(g1^11*y) + (2*t^8.382)/(g1^16*y) + (2*g1^15*t^8.455)/y + t^8.563/(g1^21*y) + (g1^10*t^8.636)/y + t^8.745/(g1^26*y) + (3*g1^5*t^8.818)/y - (t^4.345*y)/g1^4 - (2*t^6.673*y)/g1^2 - (t^7.036*y)/g1^12 + g1^14*t^7.291*y - (t^7.4*y)/g1^22 + 2*g1^4*t^7.655*y + (2*t^7.836*y)/g1 + (4*t^8.018*y)/g1^6 + (t^8.2*y)/g1^11 + (2*t^8.382*y)/g1^16 + 2*g1^15*t^8.455*y + (t^8.563*y)/g1^21 + g1^10*t^8.636*y + (t^8.745*y)/g1^26 + 3*g1^5*t^8.818*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 |
|---|---|---|---|---|---|---|---|---|
| 4768 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6932 | 0.8704 | 0.7964 | [M:[1.0099, 0.7767, 0.9516, 0.835, 1.165, 0.7767, 1.0484, 0.835], q:[0.6017, 0.3883], qb:[0.4467, 0.7767], phi:[0.4467]] | 2*t^2.33 + 2*t^2.505 + t^2.68 + t^3.03 + t^3.145 + t^3.845 + t^4.02 + t^4.135 + t^4.31 + t^4.485 + 3*t^4.66 + 4*t^4.835 + t^4.95 + 5*t^5.01 + 2*t^5.185 + 2*t^5.36 + 2*t^5.475 + t^5.535 + 2*t^5.65 + t^5.71 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
| 4770 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6993 | 0.8844 | 0.7907 | [M:[1.0246, 0.775, 0.9622, 0.8374, 1.1626, 0.775, 1.0378, 0.7127], q:[0.5879, 0.3875], qb:[0.4499, 0.775], phi:[0.4499]] | t^2.138 + 2*t^2.325 + t^2.512 + t^2.699 + t^3.074 + t^3.113 + t^3.488 + t^4.049 + t^4.089 + 2*t^4.276 + 3*t^4.463 + 4*t^4.65 + 3*t^4.837 + t^4.877 + 3*t^5.025 + 2*t^5.212 + t^5.251 + 2*t^5.399 + 2*t^5.439 + 2*t^5.626 + t^5.773 + 2*t^5.813 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 4766 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6702 | 0.8321 | 0.8054 | [M:[1.0445, 0.7728, 0.9766, 0.8408, 1.1592, 0.7728, 1.0234, 1.0913], q:[0.5691, 0.3864], qb:[0.4543, 0.7728], phi:[0.4543]] | 2*t^2.318 + t^2.522 + t^3.07 + t^3.134 + t^3.274 + t^3.478 + t^3.885 + t^4.026 + t^4.089 + t^4.229 + t^4.433 + 3*t^4.637 + t^4.777 + 2*t^4.841 + t^5.045 + 2*t^5.389 + t^5.452 + 3*t^5.592 + 2*t^5.796 - 2*t^6. - t^4.363/y - t^4.363*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1561 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6845 | 0.8553 | 0.8003 | [M:[0.9729, 0.7808, 0.9249, 0.8288, 1.1712, 0.7808], q:[0.6367, 0.3904], qb:[0.4384, 0.7808], phi:[0.4384]] | 2*t^2.342 + t^2.486 + t^2.631 + t^2.775 + t^2.919 + t^3.514 + t^3.802 + t^3.946 + t^4.252 + t^4.396 + t^4.541 + 3*t^4.685 + 2*t^4.829 + 3*t^4.973 + 3*t^5.117 + t^5.135 + 3*t^5.261 + t^5.405 + 2*t^5.549 + t^5.694 + t^5.838 + t^5.856 - 2*t^6. - t^4.315/y - t^4.315*y | detail |