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 |
|---|---|---|---|---|---|---|---|---|---|
| 1056 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.699 | 0.8728 | 0.8008 | [M:[0.9679, 1.1254, 0.9679, 0.6881, 0.8746, 0.7813], q:[0.7813, 0.4373], qb:[0.5948, 0.4373], phi:[0.4373]] | [M:[[9], [-4], [9], [-6], [4], [-1]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.064 + t^2.344 + 2*t^2.624 + 2*t^2.904 + t^3.656 + 2*t^3.936 + 2*t^4.128 + 3*t^4.408 + 3*t^4.688 + t^4.881 + 4*t^4.968 + 5*t^5.248 + 2*t^5.528 + t^5.72 + 3*t^5.808 - 2*t^6. + 2*t^6.192 + 2*t^6.28 + 2*t^6.472 + 5*t^6.56 + 5*t^6.752 + 2*t^6.84 + t^6.945 + 7*t^7.032 + t^7.225 + 5*t^7.312 + t^7.504 + 7*t^7.592 + 11*t^7.872 - 2*t^8.064 + 5*t^8.152 + 2*t^8.257 - 2*t^8.344 + 3*t^8.431 + 3*t^8.537 - 3*t^8.624 + 4*t^8.711 + 5*t^8.816 - 2*t^8.904 - t^4.312/y - t^6.376/y - t^6.656/y - t^6.936/y - (2*t^7.216)/y + (3*t^7.408)/y + (3*t^7.688)/y + (5*t^7.968)/y + (4*t^8.248)/y - t^8.44/y + (4*t^8.528)/y + t^8.808/y - t^4.312*y - t^6.376*y - t^6.656*y - t^6.936*y - 2*t^7.216*y + 3*t^7.408*y + 3*t^7.688*y + 5*t^7.968*y + 4*t^8.248*y - t^8.44*y + 4*t^8.528*y + t^8.808*y | t^2.064/g1^6 + t^2.344/g1 + 2*g1^4*t^2.624 + 2*g1^9*t^2.904 + g1*t^3.656 + 2*g1^6*t^3.936 + (2*t^4.128)/g1^12 + (3*t^4.408)/g1^7 + (3*t^4.688)/g1^2 + t^4.881/g1^20 + 4*g1^3*t^4.968 + 5*g1^8*t^5.248 + 2*g1^13*t^5.528 + t^5.72/g1^5 + 3*g1^18*t^5.808 - 2*t^6. + (2*t^6.192)/g1^18 + 2*g1^5*t^6.28 + (2*t^6.472)/g1^13 + 5*g1^10*t^6.56 + (5*t^6.752)/g1^8 + 2*g1^15*t^6.84 + t^6.945/g1^26 + (7*t^7.032)/g1^3 + t^7.225/g1^21 + 5*g1^2*t^7.312 + t^7.504/g1^16 + 7*g1^7*t^7.592 + 11*g1^12*t^7.872 - (2*t^8.064)/g1^6 + 5*g1^17*t^8.152 + (2*t^8.257)/g1^24 - (2*t^8.344)/g1 + 3*g1^22*t^8.431 + (3*t^8.537)/g1^19 - 3*g1^4*t^8.624 + 4*g1^27*t^8.711 + (5*t^8.816)/g1^14 - 2*g1^9*t^8.904 - (g1^2*t^4.312)/y - t^6.376/(g1^4*y) - (g1*t^6.656)/y - (g1^6*t^6.936)/y - (2*g1^11*t^7.216)/y + (3*t^7.408)/(g1^7*y) + (3*t^7.688)/(g1^2*y) + (5*g1^3*t^7.968)/y + (4*g1^8*t^8.248)/y - t^8.44/(g1^10*y) + (4*g1^13*t^8.528)/y + (g1^18*t^8.808)/y - g1^2*t^4.312*y - (t^6.376*y)/g1^4 - g1*t^6.656*y - g1^6*t^6.936*y - 2*g1^11*t^7.216*y + (3*t^7.408*y)/g1^7 + (3*t^7.688*y)/g1^2 + 5*g1^3*t^7.968*y + 4*g1^8*t^8.248*y - (t^8.44*y)/g1^10 + 4*g1^13*t^8.528*y + g1^18*t^8.808*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 |
|---|---|---|---|---|---|---|---|---|
| 1643 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}X_{1}$ | 0.6767 | 0.8295 | 0.8158 | [X:[1.3345], M:[1.0018, 1.1103, 1.0018, 0.6655, 0.8897, 0.7776, 0.9982], q:[0.7776, 0.4448], qb:[0.5534, 0.4448], phi:[0.4448]] | t^2.333 + 2*t^2.669 + t^2.995 + t^3.005 + t^3.667 + t^3.993 + 3*t^4.004 + 2*t^4.329 + t^4.655 + t^4.665 + 2*t^5.002 + t^5.327 + 4*t^5.338 + 2*t^5.664 + t^5.989 - 3*t^6. - t^4.335/y - t^4.335*y | detail | |
| 1644 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{4}M_{7}$ | 0.6783 | 0.8327 | 0.8145 | [M:[0.9648, 1.1268, 0.9648, 0.6901, 0.8732, 0.7817, 1.3099], q:[0.7817, 0.4366], qb:[0.5986, 0.4366], phi:[0.4366]] | t^2.345 + 2*t^2.62 + 2*t^2.894 + t^3.655 + 3*t^3.93 + t^4.141 + 2*t^4.415 + t^4.69 + t^4.901 + 2*t^4.965 + 5*t^5.239 + 2*t^5.514 + 3*t^5.789 - 4*t^6. - t^4.31/y - t^4.31*y | detail | |
| 1642 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7197 | 0.9131 | 0.7882 | [M:[0.9705, 1.1242, 0.9705, 0.6863, 0.8758, 0.7811, 0.6863], q:[0.7811, 0.4379], qb:[0.5916, 0.4379], phi:[0.4379]] | 2*t^2.059 + t^2.343 + 2*t^2.627 + 2*t^2.912 + t^3.657 + t^3.941 + 4*t^4.118 + 4*t^4.402 + 5*t^4.686 + t^4.863 + 6*t^4.971 + 5*t^5.255 + 2*t^5.539 + 2*t^5.716 + 3*t^5.823 - 2*t^6. - t^4.314/y - t^4.314*y | detail | |
| 1641 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7165 | 0.904 | 0.7926 | [M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]] | t^2.06 + 2*t^2.343 + 2*t^2.627 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.403 + 5*t^4.687 + t^4.866 + 6*t^4.97 + 7*t^5.254 + 2*t^5.537 + 3*t^5.821 - 3*t^6. - t^4.313/y - t^4.313*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 |
|---|---|---|---|---|---|---|---|---|---|
| 662 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6993 | 0.8739 | 0.8002 | [M:[0.9803, 1.1254, 0.9554, 0.6881, 0.8746, 0.7689], q:[0.7813, 0.4248], qb:[0.5948, 0.4498], phi:[0.4373]] | t^2.064 + t^2.307 + 2*t^2.624 + t^2.866 + t^2.941 + t^3.619 + t^3.861 + t^4.01 + 2*t^4.129 + 2*t^4.371 + t^4.446 + t^4.613 + 2*t^4.688 + t^4.881 + 3*t^4.93 + t^5.005 + t^5.173 + 4*t^5.248 + t^5.49 + t^5.565 + t^5.683 + t^5.732 + t^5.807 + t^5.882 + t^5.925 - 3*t^6. - t^4.312/y - t^4.312*y | detail |