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 |
|---|---|---|---|---|---|---|---|---|---|
| 4649 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ | 0.6411 | 0.8038 | 0.7976 | [X:[1.4286], M:[1.1429, 0.5714, 0.6822, 1.0321, 0.9679, 0.7464, 1.0, 0.9679], q:[0.5714, 0.2857], qb:[0.7464, 0.6822], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [1], [-1], [1], [-1], [0], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{3}\phi_{1}q_{1}q_{2}$ | ${}$ | -2 | t^2.047 + t^2.239 + t^2.571 + 2*t^2.904 + t^3. + t^3.429 + t^3.857 + t^4.093 + t^4.189 + 2*t^4.286 + t^4.382 + t^4.478 + t^4.714 + 2*t^4.95 + 2*t^5.047 + 2*t^5.143 + 2*t^5.239 + t^5.379 + 2*t^5.475 + 2*t^5.571 + t^5.764 + 2*t^5.807 + 2*t^5.904 - 2*t^6. + t^6.14 - t^6.193 + t^6.236 + 3*t^6.332 + 2*t^6.429 + t^6.525 + t^6.621 + t^6.718 + 2*t^6.761 + 2*t^6.997 + 3*t^7.093 + 3*t^7.189 + 3*t^7.286 + t^7.382 + t^7.425 + t^7.478 + t^7.522 + 3*t^7.618 + 2*t^7.714 + t^7.811 + 2*t^7.854 + t^7.907 + 4*t^7.95 + t^8.003 + t^8.143 + t^8.186 - 3*t^8.239 + 3*t^8.282 + 5*t^8.379 - t^8.432 + 3*t^8.475 + 2*t^8.571 + t^8.668 + 2*t^8.711 + 2*t^8.764 + 2*t^8.807 + t^8.86 - 5*t^8.904 + t^8.957 - t^4.286/y - t^6.332/y - t^6.525/y - t^7.189/y + t^7.286/y + t^7.382/y + t^7.618/y + t^7.811/y + (2*t^7.95)/y + (2*t^8.047)/y + (2*t^8.143)/y + (2*t^8.239)/y - t^8.379/y + (3*t^8.475)/y + t^8.668/y - t^8.764/y + t^8.807/y + (3*t^8.904)/y - t^4.286*y - t^6.332*y - t^6.525*y - t^7.189*y + t^7.286*y + t^7.382*y + t^7.618*y + t^7.811*y + 2*t^7.95*y + 2*t^8.047*y + 2*t^8.143*y + 2*t^8.239*y - t^8.379*y + 3*t^8.475*y + t^8.668*y - t^8.764*y + t^8.807*y + 3*t^8.904*y | g1*t^2.047 + t^2.239/g1 + t^2.571 + 2*g1*t^2.904 + t^3. + t^3.429 + t^3.857 + g1^2*t^4.093 + g1*t^4.189 + 2*t^4.286 + t^4.382/g1 + t^4.478/g1^2 + t^4.714 + 2*g1^2*t^4.95 + 2*g1*t^5.047 + 2*t^5.143 + (2*t^5.239)/g1 + g1^2*t^5.379 + 2*g1*t^5.475 + 2*t^5.571 + t^5.764/g1^2 + 2*g1^2*t^5.807 + 2*g1*t^5.904 - 2*t^6. + g1^3*t^6.14 - t^6.193/g1^2 + g1^2*t^6.236 + 3*g1*t^6.332 + 2*t^6.429 + t^6.525/g1 + t^6.621/g1^2 + t^6.718/g1^3 + 2*g1*t^6.761 + 2*g1^3*t^6.997 + 3*g1^2*t^7.093 + 3*g1*t^7.189 + 3*t^7.286 + t^7.382/g1 + g1^3*t^7.425 + t^7.478/g1^2 + g1^2*t^7.522 + 3*g1*t^7.618 + 2*t^7.714 + t^7.811/g1 + 2*g1^3*t^7.854 + t^7.907/g1^2 + 4*g1^2*t^7.95 + t^8.003/g1^3 + t^8.143 + g1^4*t^8.186 - (3*t^8.239)/g1 + 3*g1^3*t^8.282 + 5*g1^2*t^8.379 - t^8.432/g1^3 + 3*g1*t^8.475 + 2*t^8.571 + t^8.668/g1 + 2*g1^3*t^8.711 + (2*t^8.764)/g1^2 + 2*g1^2*t^8.807 + t^8.86/g1^3 - 5*g1*t^8.904 + t^8.957/g1^4 - t^4.286/y - (g1*t^6.332)/y - t^6.525/(g1*y) - (g1*t^7.189)/y + t^7.286/y + t^7.382/(g1*y) + (g1*t^7.618)/y + t^7.811/(g1*y) + (2*g1^2*t^7.95)/y + (2*g1*t^8.047)/y + (2*t^8.143)/y + (2*t^8.239)/(g1*y) - (g1^2*t^8.379)/y + (3*g1*t^8.475)/y + t^8.668/(g1*y) - t^8.764/(g1^2*y) + (g1^2*t^8.807)/y + (3*g1*t^8.904)/y - t^4.286*y - g1*t^6.332*y - (t^6.525*y)/g1 - g1*t^7.189*y + t^7.286*y + (t^7.382*y)/g1 + g1*t^7.618*y + (t^7.811*y)/g1 + 2*g1^2*t^7.95*y + 2*g1*t^8.047*y + 2*t^8.143*y + (2*t^8.239*y)/g1 - g1^2*t^8.379*y + 3*g1*t^8.475*y + (t^8.668*y)/g1 - (t^8.764*y)/g1^2 + g1^2*t^8.807*y + 3*g1*t^8.904*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 |
|---|---|---|---|---|---|---|---|---|
| 6192 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6396 | 0.8003 | 0.7992 | [X:[1.4286], M:[1.1429, 0.5714, 0.7143, 1.0, 1.0, 0.7143, 1.0, 1.0], q:[0.5714, 0.2857], qb:[0.7143, 0.7143], phi:[0.4286]] | 2*t^2.143 + t^2.571 + 3*t^3. + t^3.429 + t^3.857 + 6*t^4.286 + t^4.714 + 8*t^5.143 + 6*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 1755/2744, c: 549/686, X1: 10/7, M1: 8/7, M2: 4/7, M3: 5/7, M4: 1, M5: 1, M6: 5/7, M7: 1, M8: 1, q1: 4/7, q2: 2/7, qb1: 5/7, qb2: 5/7, phi1: 3/7} |
| 6200 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ | 0.6613 | 0.8419 | 0.7855 | [X:[1.4286], M:[1.1429, 0.5714, 0.6822, 1.0321, 0.9679, 0.7464, 1.0, 0.9679, 0.7143], q:[0.5714, 0.2857], qb:[0.7464, 0.6822], phi:[0.4286]] | t^2.047 + t^2.143 + t^2.239 + t^2.571 + 2*t^2.904 + t^3. + t^3.429 + t^4.093 + 2*t^4.189 + 3*t^4.286 + 2*t^4.382 + t^4.478 + 2*t^4.714 + 2*t^4.95 + 4*t^5.047 + 3*t^5.143 + 2*t^5.239 + t^5.379 + 2*t^5.475 + 3*t^5.571 + t^5.764 + 2*t^5.807 + t^5.904 - 2*t^6. - t^4.286/y - t^4.286*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.74 | 0.9294 | 0.7963 | [M:[1.0565, 0.8305, 0.8578, 1.0292, 0.9708, 0.9162, 0.6978, 0.9708], q:[0.5283, 0.4152], qb:[0.614, 0.5555], phi:[0.4717]] | t^2.093 + t^2.491 + t^2.573 + t^2.749 + t^2.83 + 2*t^2.912 + t^3.17 + t^4.187 + t^4.246 + t^4.328 + t^4.503 + 2*t^4.585 + 2*t^4.667 + t^4.749 + 2*t^4.842 + 2*t^4.924 + t^4.983 + 2*t^5.006 + t^5.065 + t^5.099 + t^5.147 + t^5.24 + t^5.263 + 2*t^5.322 + 2*t^5.404 + 2*t^5.486 + t^5.497 + 3*t^5.661 + 2*t^5.743 + 2*t^5.825 - 3*t^6. - t^4.415/y - t^4.415*y | detail |