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 |
|---|---|---|---|---|---|---|---|---|---|
| 46972 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.5941 | 0.7418 | 0.8009 | [X:[1.3633], M:[1.2275, 1.0, 0.7725, 0.6367, 0.6825], q:[0.3183, 0.4541], qb:[0.6817, 0.9092], phi:[0.4092]] | [X:[[4]], M:[[-3], [0], [3], [-4], [-9]], q:[[-2], [5]], qb:[[2], [-1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }X_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.048 + t^2.317 + t^2.455 + t^3. + t^3.138 + t^3.407 + t^3.545 + t^3.683 + t^4.09 + t^4.095 + t^4.365 + t^4.503 + t^4.635 + 2*t^4.772 + t^4.91 + t^5.048 + t^5.185 + t^5.317 + 2*t^5.455 + t^5.593 + t^5.725 + t^5.73 + t^5.862 + 2*t^6.138 + t^6.143 + t^6.275 + t^6.407 + t^6.413 + t^6.545 + t^6.55 + t^6.683 + t^6.815 + 2*t^6.82 + t^6.952 + t^6.958 + t^7.09 + t^7.095 + t^7.228 + t^7.233 + 2*t^7.365 + 2*t^7.503 + t^7.64 + 2*t^7.772 + t^7.778 + t^7.91 + t^8.042 + 2*t^8.18 + 2*t^8.185 + t^8.19 - t^8.317 + t^8.323 + t^8.455 + t^8.46 + t^8.593 + t^8.598 + t^8.73 + 2*t^8.868 - t^4.228/y - t^6.275/y - t^6.683/y + t^7.365/y + t^7.503/y + (2*t^7.772)/y + t^8.048/y + t^8.18/y + t^8.185/y + t^8.317/y - t^8.323/y + (3*t^8.455)/y + (2*t^8.593)/y + t^8.725/y + (2*t^8.862)/y - t^4.228*y - t^6.275*y - t^6.683*y + t^7.365*y + t^7.503*y + 2*t^7.772*y + t^8.048*y + t^8.18*y + t^8.185*y + t^8.317*y - t^8.323*y + 3*t^8.455*y + 2*t^8.593*y + t^8.725*y + 2*t^8.862*y | t^2.048/g1^9 + g1^3*t^2.317 + t^2.455/g1^2 + t^3. + t^3.138/g1^5 + g1^7*t^3.407 + g1^2*t^3.545 + t^3.683/g1^3 + g1^4*t^4.09 + t^4.095/g1^18 + t^4.365/g1^6 + t^4.503/g1^11 + g1^6*t^4.635 + 2*g1*t^4.772 + t^4.91/g1^4 + t^5.048/g1^9 + t^5.185/g1^14 + g1^3*t^5.317 + (2*t^5.455)/g1^2 + t^5.593/g1^7 + g1^10*t^5.725 + t^5.73/g1^12 + g1^5*t^5.862 + (2*t^6.138)/g1^5 + t^6.143/g1^27 + t^6.275/g1^10 + g1^7*t^6.407 + t^6.413/g1^15 + g1^2*t^6.545 + t^6.55/g1^20 + t^6.683/g1^3 + g1^14*t^6.815 + (2*t^6.82)/g1^8 + g1^9*t^6.952 + t^6.958/g1^13 + g1^4*t^7.09 + t^7.095/g1^18 + t^7.228/g1 + t^7.233/g1^23 + (2*t^7.365)/g1^6 + (2*t^7.503)/g1^11 + t^7.64/g1^16 + 2*g1*t^7.772 + t^7.778/g1^21 + t^7.91/g1^4 + g1^13*t^8.042 + 2*g1^8*t^8.18 + (2*t^8.185)/g1^14 + t^8.19/g1^36 - g1^3*t^8.317 + t^8.323/g1^19 + t^8.455/g1^2 + t^8.46/g1^24 + t^8.593/g1^7 + t^8.598/g1^29 + t^8.73/g1^12 + (2*t^8.868)/g1^17 - t^4.228/(g1*y) - t^6.275/(g1^10*y) - t^6.683/(g1^3*y) + t^7.365/(g1^6*y) + t^7.503/(g1^11*y) + (2*g1*t^7.772)/y + t^8.048/(g1^9*y) + (g1^8*t^8.18)/y + t^8.185/(g1^14*y) + (g1^3*t^8.317)/y - t^8.323/(g1^19*y) + (3*t^8.455)/(g1^2*y) + (2*t^8.593)/(g1^7*y) + (g1^10*t^8.725)/y + (2*g1^5*t^8.862)/y - (t^4.228*y)/g1 - (t^6.275*y)/g1^10 - (t^6.683*y)/g1^3 + (t^7.365*y)/g1^6 + (t^7.503*y)/g1^11 + 2*g1*t^7.772*y + (t^8.048*y)/g1^9 + g1^8*t^8.18*y + (t^8.185*y)/g1^14 + g1^3*t^8.317*y - (t^8.323*y)/g1^19 + (3*t^8.455*y)/g1^2 + (2*t^8.593*y)/g1^7 + g1^10*t^8.725*y + 2*g1^5*t^8.862*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 |
|---|---|---|---|---|---|---|---|---|
| 55182 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ | 0.5911 | 0.737 | 0.8021 | [X:[1.3333], M:[1.25, 1.0, 0.75, 0.6667, 0.75], q:[0.3333, 0.4167], qb:[0.6667, 0.9167], phi:[0.4167]] | 2*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^3.75 + t^4. + 3*t^4.5 + 3*t^4.75 + t^5. + 2*t^5.25 + 4*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 227/384, c: 283/384, X1: 4/3, M1: 5/4, M2: 1, M3: 3/4, M4: 2/3, M5: 3/4, q1: 1/3, q2: 5/12, qb1: 2/3, qb2: 11/12, phi1: 5/12} |
| 55383 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6122 | 0.774 | 0.7909 | [X:[1.3578], M:[1.2316, 1.0, 0.7684, 0.6422, 0.6949, 0.7684], q:[0.3211, 0.4473], qb:[0.6789, 0.9105], 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 | |
| 55333 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6095 | 0.769 | 0.7926 | [X:[1.3682], M:[1.2239, 1.0, 0.7761, 0.6318, 0.6716, 0.8159], q:[0.3159, 0.4602], qb:[0.6841, 0.908], phi:[0.408]] | t^2.015 + t^2.328 + 2*t^2.448 + t^3. + t^3.119 + t^3.433 + t^3.672 + t^4.029 + t^4.105 + t^4.343 + 2*t^4.462 + t^4.657 + 3*t^4.776 + 3*t^4.895 + t^5.015 + t^5.134 + t^5.328 + 3*t^5.448 + t^5.567 + t^5.686 + t^5.761 + t^5.881 - t^6. - t^4.224/y - t^4.224*y | detail | |
| 55163 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.5788 | 0.715 | 0.8095 | [X:[1.3583], M:[1.2313, 1.0, 0.7687, 0.6417, 0.6939, 1.1791], q:[0.3209, 0.4478], qb:[0.6791, 0.9104], phi:[0.4104]] | t^2.082 + t^2.306 + t^3. + t^3.156 + t^3.381 + 2*t^3.537 + t^3.694 + t^4.075 + t^4.163 + t^4.388 + t^4.612 + t^4.769 + t^5.082 + t^5.238 + t^5.306 + t^5.463 + t^5.619 + t^5.687 + t^5.776 + t^5.844 - t^6. - t^4.231/y - t^4.231*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46396 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5734 | 0.7016 | 0.8172 | [X:[1.3583], M:[1.2312, 1.0, 0.7688, 0.6417], q:[0.3208, 0.4479], qb:[0.6792, 0.9104], 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 |