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 |
|---|---|---|---|---|---|---|---|---|---|
| 4929 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.605 | 0.7771 | 0.7786 | [M:[1.0, 0.9986, 1.0027, 1.2497, 0.753, 0.7503, 0.9973, 0.9986], q:[0.2503, 0.7497], qb:[0.5, 0.4973], phi:[0.5007]] | [M:[[0], [4], [-8], [1], [-9], [-1], [8], [4]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.243 + t^2.251 + t^2.259 + t^2.992 + 2*t^2.996 + t^3. + t^3.745 + t^3.749 + t^3.753 + 2*t^4.486 + 2*t^4.494 + 3*t^4.502 + t^4.51 + t^4.518 + t^5.235 + 2*t^5.239 + 2*t^5.243 + 2*t^5.247 + t^5.251 + 2*t^5.255 + t^5.984 + 3*t^5.988 + 3*t^5.992 + 3*t^5.996 - 2*t^6. + t^6.004 + t^6.012 + 2*t^6.729 + 3*t^6.737 + t^6.741 + 6*t^6.745 + 2*t^6.753 - t^6.757 + 2*t^6.761 + t^6.769 + t^6.777 + 2*t^7.478 + 3*t^7.482 + 3*t^7.486 + 3*t^7.49 + 2*t^7.494 + 4*t^7.498 + 2*t^7.506 - t^7.51 + 2*t^7.514 + t^8.227 + 4*t^8.231 + 4*t^8.235 + 5*t^8.239 - t^8.243 + 3*t^8.247 - 2*t^8.251 + 2*t^8.255 - 4*t^8.259 + t^8.263 + t^8.271 + 3*t^8.972 + t^8.976 + 6*t^8.98 + 3*t^8.984 + 9*t^8.988 - t^8.992 - t^8.996 - t^4.502/y - t^6.761/y + t^7.494/y - t^7.498/y + t^7.502/y + t^7.506/y + t^7.51/y + t^8.235/y + (2*t^8.239)/y + (3*t^8.243)/y + (2*t^8.247)/y + (2*t^8.251)/y + (2*t^8.255)/y + t^8.259/y + (3*t^8.988)/y + (3*t^8.992)/y + (4*t^8.996)/y - t^4.502*y - t^6.761*y + t^7.494*y - t^7.498*y + t^7.502*y + t^7.506*y + t^7.51*y + t^8.235*y + 2*t^8.239*y + 3*t^8.243*y + 2*t^8.247*y + 2*t^8.251*y + 2*t^8.255*y + t^8.259*y + 3*t^8.988*y + 3*t^8.992*y + 4*t^8.996*y | g1^7*t^2.243 + t^2.251/g1 + t^2.259/g1^9 + g1^8*t^2.992 + 2*g1^4*t^2.996 + t^3. + g1^5*t^3.745 + g1*t^3.749 + t^3.753/g1^3 + 2*g1^14*t^4.486 + 2*g1^6*t^4.494 + (3*t^4.502)/g1^2 + t^4.51/g1^10 + t^4.518/g1^18 + g1^15*t^5.235 + 2*g1^11*t^5.239 + 2*g1^7*t^5.243 + 2*g1^3*t^5.247 + t^5.251/g1 + (2*t^5.255)/g1^5 + g1^16*t^5.984 + 3*g1^12*t^5.988 + 3*g1^8*t^5.992 + 3*g1^4*t^5.996 - 2*t^6. + t^6.004/g1^4 + t^6.012/g1^12 + 2*g1^21*t^6.729 + 3*g1^13*t^6.737 + g1^9*t^6.741 + 6*g1^5*t^6.745 + (2*t^6.753)/g1^3 - t^6.757/g1^7 + (2*t^6.761)/g1^11 + t^6.769/g1^19 + t^6.777/g1^27 + 2*g1^22*t^7.478 + 3*g1^18*t^7.482 + 3*g1^14*t^7.486 + 3*g1^10*t^7.49 + 2*g1^6*t^7.494 + 4*g1^2*t^7.498 + (2*t^7.506)/g1^6 - t^7.51/g1^10 + (2*t^7.514)/g1^14 + g1^23*t^8.227 + 4*g1^19*t^8.231 + 4*g1^15*t^8.235 + 5*g1^11*t^8.239 - g1^7*t^8.243 + 3*g1^3*t^8.247 - (2*t^8.251)/g1 + (2*t^8.255)/g1^5 - (4*t^8.259)/g1^9 + t^8.263/g1^13 + t^8.271/g1^21 + 3*g1^28*t^8.972 + g1^24*t^8.976 + 6*g1^20*t^8.98 + 3*g1^16*t^8.984 + 9*g1^12*t^8.988 - g1^8*t^8.992 - g1^4*t^8.996 - t^4.502/(g1^2*y) - t^6.761/(g1^11*y) + (g1^6*t^7.494)/y - (g1^2*t^7.498)/y + t^7.502/(g1^2*y) + t^7.506/(g1^6*y) + t^7.51/(g1^10*y) + (g1^15*t^8.235)/y + (2*g1^11*t^8.239)/y + (3*g1^7*t^8.243)/y + (2*g1^3*t^8.247)/y + (2*t^8.251)/(g1*y) + (2*t^8.255)/(g1^5*y) + t^8.259/(g1^9*y) + (3*g1^12*t^8.988)/y + (3*g1^8*t^8.992)/y + (4*g1^4*t^8.996)/y - (t^4.502*y)/g1^2 - (t^6.761*y)/g1^11 + g1^6*t^7.494*y - g1^2*t^7.498*y + (t^7.502*y)/g1^2 + (t^7.506*y)/g1^6 + (t^7.51*y)/g1^10 + g1^15*t^8.235*y + 2*g1^11*t^8.239*y + 3*g1^7*t^8.243*y + 2*g1^3*t^8.247*y + (2*t^8.251*y)/g1 + (2*t^8.255*y)/g1^5 + (t^8.259*y)/g1^9 + 3*g1^12*t^8.988*y + 3*g1^8*t^8.992*y + 4*g1^4*t^8.996*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 |
|---|---|---|---|---|---|---|---|---|
| 6540 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{9}$ | 0.624 | 0.8116 | 0.7689 | [M:[1.0, 0.9997, 1.0006, 1.2499, 0.7507, 0.7501, 0.9994, 0.9997, 0.7501], q:[0.2501, 0.7499], qb:[0.5, 0.4994], phi:[0.5002]] | t^2.248 + 2*t^2.25 + t^2.252 + t^2.998 + 2*t^2.999 + t^3. + t^3.749 + t^3.751 + 2*t^4.497 + 3*t^4.499 + 5*t^4.5 + 2*t^4.502 + t^4.504 + t^5.247 + 5*t^5.248 + 4*t^5.249 + 2*t^5.25 + 2*t^5.251 + t^5.996 + 3*t^5.997 + 2*t^5.998 + 4*t^5.999 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 6541 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6241 | 0.8124 | 0.7682 | [M:[1.0, 0.9956, 1.0088, 1.2489, 0.7599, 0.7511, 0.9912, 0.9956, 0.7467], q:[0.2511, 0.7489], qb:[0.5, 0.4912], phi:[0.5022]] | t^2.227 + t^2.24 + t^2.253 + t^2.28 + t^2.974 + 2*t^2.987 + t^3. + t^3.734 + t^3.747 + 2*t^4.454 + t^4.467 + 3*t^4.48 + t^4.493 + 3*t^4.507 + t^4.52 + t^4.533 + t^4.559 + t^5.201 + 3*t^5.214 + 4*t^5.227 + 3*t^5.24 + t^5.253 + 2*t^5.266 + t^5.947 + 3*t^5.96 + 4*t^5.974 + 3*t^5.987 - 2*t^6. - t^4.507/y - t^4.507*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6053 | 0.7765 | 0.7795 | [M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | t^2.194 + t^2.244 + t^2.294 + t^2.975 + t^3. + t^3.025 + t^3.05 + t^3.731 + t^3.756 + t^3.781 + t^4.388 + t^4.438 + 3*t^4.488 + 2*t^4.537 + 2*t^4.587 + t^5.169 + 2*t^5.219 + t^5.244 + 2*t^5.269 + 2*t^5.294 + t^5.319 + t^5.344 + t^5.925 + t^5.95 + 2*t^5.975 - t^6. - t^4.488/y - t^4.488*y | detail |