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 |
|---|---|---|---|---|---|---|---|---|---|
| 1961 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6349 | 0.7889 | 0.8048 | [M:[1.1787, 1.2142, 0.7503, 0.8213, 0.8213, 0.7147], q:[0.8036, 0.4462], qb:[0.3751, 0.8036], phi:[0.3929]] | [M:[[-6], [4], [-14], [6], [6], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.144 + t^2.251 + 2*t^2.464 + t^3.429 + t^3.536 + 2*t^3.643 + t^3.749 + t^4.288 + t^4.395 + t^4.502 + 2*t^4.608 + 2*t^4.715 + t^4.821 + 3*t^4.928 + t^5.574 + 2*t^5.68 + 2*t^5.787 + 3*t^5.893 + 2*t^6.107 + t^6.213 + t^6.433 + t^6.539 + t^6.646 + 3*t^6.752 + 3*t^6.859 + 3*t^6.966 + 4*t^7.072 + 2*t^7.179 + t^7.285 + 3*t^7.392 + t^7.718 + 2*t^7.824 + 3*t^7.931 + 3*t^8.038 + 2*t^8.144 + 2*t^8.357 - 2*t^8.464 + t^8.571 + t^8.577 + t^8.683 + t^8.79 + 3*t^8.897 - t^4.179/y - t^6.323/y - t^6.429/y - t^6.643/y + t^7.395/y + (2*t^7.608)/y + (3*t^7.715)/y + (2*t^7.928)/y + t^8.034/y - t^8.467/y + t^8.68/y + (2*t^8.787)/y + (4*t^8.893)/y - t^4.179*y - t^6.323*y - t^6.429*y - t^6.643*y + t^7.395*y + 2*t^7.608*y + 3*t^7.715*y + 2*t^7.928*y + t^8.034*y - t^8.467*y + t^8.68*y + 2*t^8.787*y + 4*t^8.893*y | t^2.144/g1^24 + t^2.251/g1^14 + 2*g1^6*t^2.464 + t^3.429/g1^16 + t^3.536/g1^6 + 2*g1^4*t^3.643 + g1^14*t^3.749 + t^4.288/g1^48 + t^4.395/g1^38 + t^4.502/g1^28 + (2*t^4.608)/g1^18 + (2*t^4.715)/g1^8 + g1^2*t^4.821 + 3*g1^12*t^4.928 + t^5.574/g1^40 + (2*t^5.68)/g1^30 + (2*t^5.787)/g1^20 + (3*t^5.893)/g1^10 + 2*g1^10*t^6.107 + g1^20*t^6.213 + t^6.433/g1^72 + t^6.539/g1^62 + t^6.646/g1^52 + (3*t^6.752)/g1^42 + (3*t^6.859)/g1^32 + (3*t^6.966)/g1^22 + (4*t^7.072)/g1^12 + (2*t^7.179)/g1^2 + g1^8*t^7.285 + 3*g1^18*t^7.392 + t^7.718/g1^64 + (2*t^7.824)/g1^54 + (3*t^7.931)/g1^44 + (3*t^8.038)/g1^34 + (2*t^8.144)/g1^24 + (2*t^8.357)/g1^4 - 2*g1^6*t^8.464 + g1^16*t^8.571 + t^8.577/g1^96 + t^8.683/g1^86 + t^8.79/g1^76 + (3*t^8.897)/g1^66 - t^4.179/(g1^2*y) - t^6.323/(g1^26*y) - t^6.429/(g1^16*y) - (g1^4*t^6.643)/y + t^7.395/(g1^38*y) + (2*t^7.608)/(g1^18*y) + (3*t^7.715)/(g1^8*y) + (2*g1^12*t^7.928)/y + (g1^22*t^8.034)/y - t^8.467/(g1^50*y) + t^8.68/(g1^30*y) + (2*t^8.787)/(g1^20*y) + (4*t^8.893)/(g1^10*y) - (t^4.179*y)/g1^2 - (t^6.323*y)/g1^26 - (t^6.429*y)/g1^16 - g1^4*t^6.643*y + (t^7.395*y)/g1^38 + (2*t^7.608*y)/g1^18 + (3*t^7.715*y)/g1^8 + 2*g1^12*t^7.928*y + g1^22*t^8.034*y - (t^8.467*y)/g1^50 + (t^8.68*y)/g1^30 + (2*t^8.787*y)/g1^20 + (4*t^8.893*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3016 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6501 | 0.8149 | 0.7978 | [M:[1.1817, 1.2122, 0.7572, 0.8183, 0.8183, 0.7267, 0.8183], q:[0.8031, 0.4397], qb:[0.3786, 0.8031], phi:[0.3939]] | t^2.18 + t^2.272 + 3*t^2.455 + t^3.453 + 2*t^3.637 + t^3.728 + t^4.36 + t^4.452 + t^4.543 + 3*t^4.635 + 3*t^4.727 + t^4.818 + 6*t^4.91 + t^5.634 + t^5.725 + t^5.817 + 4*t^5.908 - 2*t^6. - t^4.182/y - t^4.182*y | detail | |
| 3011 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.5657 | 0.7039 | 0.8037 | [M:[1.2632, 1.1579, 0.9474, 0.7368, 0.7368, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 2*t^2.211 + t^2.842 + 2*t^3.158 + 2*t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + t^4.737 + 2*t^5.053 + 3*t^5.368 + 3*t^5.684 + t^6. - t^4.263/y - t^4.263*y | detail | {a: 31041/54872, c: 19311/27436, M1: 24/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 14/19, M6: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 3015 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6161 | 0.7543 | 0.8168 | [M:[1.1836, 1.211, 0.7616, 0.8164, 0.8164, 0.7342, 1.2384], q:[0.8027, 0.4356], qb:[0.3808, 0.8027], phi:[0.3945]] | t^2.203 + 2*t^2.449 + t^3.468 + t^3.551 + 2*t^3.633 + 2*t^3.715 + t^4.405 + 2*t^4.652 + t^4.816 + 3*t^4.899 + t^5.671 + t^5.753 + t^5.836 + 2*t^5.918 - t^6. - t^4.184/y - t^4.184*y | detail | |
| 3009 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.5845 | 0.7251 | 0.8061 | [M:[1.25, 1.1667, 0.9167, 0.75, 0.75, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 2*t^2.25 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + 3*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 1197/2048, c: 1485/2048, M1: 5/4, M2: 7/6, M3: 11/12, M4: 3/4, M5: 3/4, M6: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 647 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.615 | 0.7516 | 0.8183 | [M:[1.1856, 1.2096, 0.7664, 0.8144, 0.8144], q:[0.8024, 0.4312], qb:[0.3832, 0.8024], phi:[0.3952]] | t^2.299 + 2*t^2.443 + t^3.485 + t^3.557 + 2*t^3.629 + t^3.701 + t^3.773 + t^4.599 + 2*t^4.742 + t^4.814 + 3*t^4.886 + t^5.784 + 2*t^5.928 - t^4.186/y - t^4.186*y | detail |