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 |
|---|---|---|---|---|---|---|---|---|---|
| 46553 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6278 | 0.8165 | 0.7689 | [M:[0.9804, 1.0196, 0.8039, 0.7255], q:[0.7451, 0.2745], qb:[0.4902, 0.451], phi:[0.5098]] | [M:[[4], [-4], [-11], [5]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.177 + t^2.294 + t^2.412 + t^2.824 + 2*t^3.059 + t^3.176 + 2*t^3.706 + t^4.236 + 4*t^4.353 + 3*t^4.471 + 3*t^4.588 + t^4.706 + t^4.823 + 2*t^5. + t^5.118 + 5*t^5.235 + 3*t^5.353 + 2*t^5.47 + t^5.588 + t^5.648 + 4*t^5.883 - t^6. + 2*t^6.117 + 2*t^6.235 + t^6.352 + 2*t^6.412 + 7*t^6.53 + 3*t^6.647 + 7*t^6.765 + 3*t^6.882 + 2*t^7. + t^7.059 + t^7.117 + 3*t^7.177 + t^7.235 + 3*t^7.294 + 9*t^7.412 + 4*t^7.529 + 5*t^7.647 + 3*t^7.764 + 2*t^7.824 + 2*t^7.882 + 2*t^7.942 + t^7.999 + 5*t^8.059 - 4*t^8.177 + 2*t^8.294 + t^8.412 + 2*t^8.471 + 3*t^8.529 + 4*t^8.589 + 2*t^8.647 + 11*t^8.706 + t^8.764 + 2*t^8.824 + 8*t^8.941 - t^4.529/y - t^6.706/y - t^6.941/y + t^7.353/y + (3*t^7.471)/y + t^7.588/y + t^7.706/y + (2*t^8.)/y + (2*t^8.118)/y + (5*t^8.235)/y + (5*t^8.353)/y + (3*t^8.47)/y + t^8.588/y + (5*t^8.883)/y - t^4.529*y - t^6.706*y - t^6.941*y + t^7.353*y + 3*t^7.471*y + t^7.588*y + t^7.706*y + 2*t^8.*y + 2*t^8.118*y + 5*t^8.235*y + 5*t^8.353*y + 3*t^8.47*y + t^8.588*y + 5*t^8.883*y | 2*g1^5*t^2.177 + t^2.294/g1^3 + t^2.412/g1^11 + g1^12*t^2.824 + (2*t^3.059)/g1^4 + t^3.176/g1^12 + 2*g1^3*t^3.706 + g1^18*t^4.236 + 4*g1^10*t^4.353 + 3*g1^2*t^4.471 + (3*t^4.588)/g1^6 + t^4.706/g1^14 + t^4.823/g1^22 + 2*g1^17*t^5. + g1^9*t^5.118 + 5*g1*t^5.235 + (3*t^5.353)/g1^7 + (2*t^5.47)/g1^15 + t^5.588/g1^23 + g1^24*t^5.648 + 4*g1^8*t^5.883 - t^6. + (2*t^6.117)/g1^8 + (2*t^6.235)/g1^16 + t^6.352/g1^24 + 2*g1^23*t^6.412 + 7*g1^15*t^6.53 + 3*g1^7*t^6.647 + (7*t^6.765)/g1 + (3*t^6.882)/g1^9 + (2*t^7.)/g1^17 + g1^30*t^7.059 + t^7.117/g1^25 + 3*g1^22*t^7.177 + t^7.235/g1^33 + 3*g1^14*t^7.294 + 9*g1^6*t^7.412 + (4*t^7.529)/g1^2 + (5*t^7.647)/g1^10 + (3*t^7.764)/g1^18 + 2*g1^29*t^7.824 + (2*t^7.882)/g1^26 + 2*g1^21*t^7.942 + t^7.999/g1^34 + 5*g1^13*t^8.059 - 4*g1^5*t^8.177 + (2*t^8.294)/g1^3 + t^8.412/g1^11 + 2*g1^36*t^8.471 + (3*t^8.529)/g1^19 + 4*g1^28*t^8.589 + (2*t^8.647)/g1^27 + 11*g1^20*t^8.706 + t^8.764/g1^35 + 2*g1^12*t^8.824 + 8*g1^4*t^8.941 - t^4.529/(g1^2*y) - (g1^3*t^6.706)/y - t^6.941/(g1^13*y) + (g1^10*t^7.353)/y + (3*g1^2*t^7.471)/y + t^7.588/(g1^6*y) + t^7.706/(g1^14*y) + (2*g1^17*t^8.)/y + (2*g1^9*t^8.118)/y + (5*g1*t^8.235)/y + (5*t^8.353)/(g1^7*y) + (3*t^8.47)/(g1^15*y) + t^8.588/(g1^23*y) + (5*g1^8*t^8.883)/y - (t^4.529*y)/g1^2 - g1^3*t^6.706*y - (t^6.941*y)/g1^13 + g1^10*t^7.353*y + 3*g1^2*t^7.471*y + (t^7.588*y)/g1^6 + (t^7.706*y)/g1^14 + 2*g1^17*t^8.*y + 2*g1^9*t^8.118*y + 5*g1*t^8.235*y + (5*t^8.353*y)/g1^7 + (3*t^8.47*y)/g1^15 + (t^8.588*y)/g1^23 + 5*g1^8*t^8.883*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 |
|---|---|---|---|---|---|---|---|---|
| 47195 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.635 | 0.8307 | 0.7645 | [M:[0.9675, 1.0325, 0.8395, 0.7093, 0.9024], q:[0.7419, 0.2907], qb:[0.4837, 0.4186], phi:[0.5163]] | 2*t^2.128 + t^2.323 + t^2.519 + 2*t^2.707 + 2*t^3.098 + 2*t^3.677 + t^4.061 + 4*t^4.256 + 3*t^4.451 + 3*t^4.646 + 4*t^4.835 + t^4.842 + 2*t^5.03 + t^5.037 + 6*t^5.226 + 3*t^5.414 + t^5.421 + t^5.616 + 6*t^5.805 - 2*t^6. - t^4.549/y - t^4.549*y | detail | |
| 46922 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6462 | 0.8496 | 0.7606 | [M:[0.9822, 1.0178, 0.799, 0.7277, 0.7634], q:[0.7455, 0.2723], qb:[0.4911, 0.4555], phi:[0.5089]] | 2*t^2.183 + 2*t^2.29 + t^2.397 + t^2.84 + 2*t^3.053 + t^3.16 + t^3.71 + t^4.259 + 4*t^4.366 + 5*t^4.473 + 5*t^4.58 + 2*t^4.687 + t^4.794 + 2*t^5.023 + 2*t^5.13 + 5*t^5.237 + 5*t^5.344 + 3*t^5.45 + t^5.557 + t^5.679 + 2*t^5.893 - t^6. - t^4.527/y - t^4.527*y | detail | |
| 46831 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6243 | 0.8111 | 0.7697 | [M:[0.9947, 1.0053, 0.7646, 0.7434, 1.0159], q:[0.7487, 0.2566], qb:[0.4974, 0.4868], phi:[0.5026]] | 2*t^2.23 + t^2.262 + t^2.294 + 2*t^3.016 + 2*t^3.048 + 2*t^3.738 + t^4.429 + 4*t^4.46 + 3*t^4.492 + 3*t^4.524 + t^4.556 + t^4.587 + 4*t^5.246 + 5*t^5.278 + 3*t^5.31 + 2*t^5.341 + 2*t^5.968 - 2*t^6. - t^4.508/y - t^4.508*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46173 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6079 | 0.7795 | 0.7799 | [M:[0.9824, 1.0176, 0.7984], q:[0.7456, 0.272], qb:[0.4912, 0.456], phi:[0.5088]] | t^2.184 + t^2.29 + t^2.395 + t^2.842 + 2*t^3.053 + t^3.158 + 2*t^3.71 + t^3.816 + t^4.262 + 2*t^4.368 + 2*t^4.474 + 2*t^4.579 + t^4.685 + t^4.79 + t^5.026 + t^5.131 + 3*t^5.237 + 2*t^5.342 + 2*t^5.448 + t^5.554 + t^5.683 + 2*t^5.894 - t^4.526/y - t^4.526*y | detail |