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 |
|---|---|---|---|---|---|---|---|---|---|
| 2998 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{4}M_{6}$ | 0.5917 | 0.7355 | 0.8045 | [X:[1.5874, 1.3497], M:[1.0, 0.6503, 0.4126, 1.2377, 0.7623, 0.7623], q:[0.6748, 0.3252], qb:[0.9126, 0.4371], phi:[0.4126]] | [X:[[1], [4]], M:[[0], [-4], [-1], [-3], [3], [3]], q:[[2], [-2]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -1 | 2*t^2.287 + t^2.475 + t^3. + t^3.189 + t^3.336 + t^3.525 + t^3.86 + t^4.049 + 3*t^4.574 + 3*t^4.762 + t^4.951 + 2*t^5.287 + 2*t^5.475 + 2*t^5.623 + 2*t^5.811 - t^6. + 2*t^6.147 + 3*t^6.336 + t^6.377 + t^6.525 + t^6.672 - t^6.713 + 5*t^6.86 - t^6.902 + 4*t^7.049 + t^7.196 + t^7.238 + t^7.385 + 2*t^7.574 + t^7.721 + 2*t^7.762 + 4*t^7.909 + 4*t^8.098 - 3*t^8.287 + 3*t^8.434 - 2*t^8.475 + 5*t^8.623 + t^8.811 + 2*t^8.958 - t^4.238/y - t^6.525/y - t^6.713/y + t^7.574/y + (3*t^7.762)/y + t^7.951/y + (2*t^8.287)/y + (3*t^8.475)/y + (2*t^8.623)/y + t^8.664/y + (2*t^8.811)/y - t^4.238*y - t^6.525*y - t^6.713*y + t^7.574*y + 3*t^7.762*y + t^7.951*y + 2*t^8.287*y + 3*t^8.475*y + 2*t^8.623*y + t^8.664*y + 2*t^8.811*y | 2*g1^3*t^2.287 + t^2.475/g1^2 + t^3. + t^3.189/g1^5 + g1^7*t^3.336 + g1^2*t^3.525 + g1^9*t^3.86 + g1^4*t^4.049 + 3*g1^6*t^4.574 + 3*g1*t^4.762 + t^4.951/g1^4 + 2*g1^3*t^5.287 + (2*t^5.475)/g1^2 + 2*g1^10*t^5.623 + 2*g1^5*t^5.811 - t^6. + 2*g1^12*t^6.147 + 3*g1^7*t^6.336 + t^6.377/g1^10 + g1^2*t^6.525 + g1^14*t^6.672 - t^6.713/g1^3 + 5*g1^9*t^6.86 - t^6.902/g1^8 + 4*g1^4*t^7.049 + g1^16*t^7.196 + t^7.238/g1 + g1^11*t^7.385 + 2*g1^6*t^7.574 + g1^18*t^7.721 + 2*g1*t^7.762 + 4*g1^13*t^7.909 + 4*g1^8*t^8.098 - 3*g1^3*t^8.287 + 3*g1^15*t^8.434 - (2*t^8.475)/g1^2 + 5*g1^10*t^8.623 + g1^5*t^8.811 + 2*g1^17*t^8.958 - t^4.238/(g1*y) - (g1^2*t^6.525)/y - t^6.713/(g1^3*y) + (g1^6*t^7.574)/y + (3*g1*t^7.762)/y + t^7.951/(g1^4*y) + (2*g1^3*t^8.287)/y + (3*t^8.475)/(g1^2*y) + (2*g1^10*t^8.623)/y + t^8.664/(g1^7*y) + (2*g1^5*t^8.811)/y - (t^4.238*y)/g1 - g1^2*t^6.525*y - (t^6.713*y)/g1^3 + g1^6*t^7.574*y + 3*g1*t^7.762*y + (t^7.951*y)/g1^4 + 2*g1^3*t^8.287*y + (3*t^8.475*y)/g1^2 + 2*g1^10*t^8.623*y + (t^8.664*y)/g1^7 + 2*g1^5*t^8.811*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 |
|---|---|---|---|---|---|---|---|---|
| 3624 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6067 | 0.7607 | 0.7976 | [X:[1.5894, 1.3576], M:[1.0, 0.6424, 0.4106, 1.2318, 0.7682, 0.7682, 0.8212], q:[0.6788, 0.3212], qb:[0.9106, 0.447], phi:[0.4106]] | 2*t^2.305 + 2*t^2.464 + t^3. + t^3.159 + t^3.377 + t^3.914 + t^4.073 + 3*t^4.609 + 5*t^4.768 + 3*t^4.927 + 2*t^5.305 + 3*t^5.464 + t^5.623 + 2*t^5.682 + t^5.841 - 2*t^6. - t^4.232/y - t^4.232*y | detail | |
| 3625 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6122 | 0.774 | 0.7909 | [X:[1.5895, 1.3578], M:[1.0, 0.6422, 0.4105, 1.2316, 0.7684, 0.7684, 0.6949], q:[0.6789, 0.3211], qb:[0.9105, 0.4473], phi:[0.4105]] | t^2.085 + 2*t^2.305 + t^2.463 + t^3. + t^3.158 + t^3.379 + t^3.537 + t^4.073 + t^4.17 + 2*t^4.39 + t^4.548 + 3*t^4.61 + 3*t^4.768 + t^4.927 + t^5.085 + t^5.243 + 2*t^5.305 + 3*t^5.463 + t^5.621 + 2*t^5.684 + 2*t^5.842 - t^6. - t^4.232/y - t^4.232*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1952 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ | 0.5734 | 0.7016 | 0.8172 | [X:[1.5896, 1.3583], M:[1.0, 0.6417, 0.4104, 1.2312, 0.7688], q:[0.6792, 0.3208], qb:[0.9104, 0.4479], phi:[0.4104]] | t^2.306 + t^2.462 + t^3. + t^3.156 + t^3.381 + t^3.538 + t^3.694 + t^3.919 + t^4.075 + t^4.613 + 2*t^4.769 + t^4.925 + t^5.306 + t^5.462 + t^5.688 + t^5.844 - t^4.231/y - t^4.231*y | detail |