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 |
|---|---|---|---|---|---|---|---|---|---|
| 1933 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5864 | 0.7382 | 0.7944 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 1839/3136, c: 2315/3136, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -1 | 2*t^2.143 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + 2*t^3.643 + 3*t^4.286 + 3*t^4.714 + 3*t^5.143 + 4*t^5.357 + 2*t^5.571 + 4*t^5.786 - t^6. + 2*t^6.214 + 6*t^6.429 + 2*t^6.643 + 6*t^6.857 - 2*t^7.071 + 6*t^7.286 + 4*t^7.5 + 3*t^7.714 + 6*t^7.929 - 3*t^8.143 + 4*t^8.357 + 7*t^8.571 + 2*t^8.786 - t^4.286/y - t^6.429/y - t^6.857/y + t^7.286/y + (3*t^7.714)/y + (3*t^8.143)/y + (4*t^8.357)/y + (2*t^8.571)/y + (6*t^8.786)/y - t^4.286*y - t^6.429*y - t^6.857*y + t^7.286*y + 3*t^7.714*y + 3*t^8.143*y + 4*t^8.357*y + 2*t^8.571*y + 6*t^8.786*y | 2*t^2.143 + t^2.571 + t^3. + t^3.214/g1^2 + g1^2*t^3.214 + t^3.429 + t^3.643/g1^2 + g1^2*t^3.643 + 3*t^4.286 + 3*t^4.714 + 3*t^5.143 + (2*t^5.357)/g1^2 + 2*g1^2*t^5.357 + 2*t^5.571 + (2*t^5.786)/g1^2 + 2*g1^2*t^5.786 - t^6. + t^6.214/g1^2 + g1^2*t^6.214 + 4*t^6.429 + t^6.429/g1^4 + g1^4*t^6.429 + t^6.643/g1^2 + g1^2*t^6.643 + 4*t^6.857 + t^6.857/g1^4 + g1^4*t^6.857 - t^7.071/g1^2 - g1^2*t^7.071 + 4*t^7.286 + t^7.286/g1^4 + g1^4*t^7.286 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + 3*t^7.714 + (3*t^7.929)/g1^2 + 3*g1^2*t^7.929 - 3*t^8.143 + (2*t^8.357)/g1^2 + 2*g1^2*t^8.357 + 3*t^8.571 + (2*t^8.571)/g1^4 + 2*g1^4*t^8.571 + t^8.786/g1^2 + g1^2*t^8.786 - t^4.286/y - t^6.429/y - t^6.857/y + t^7.286/y + (3*t^7.714)/y + (3*t^8.143)/y + (2*t^8.357)/(g1^2*y) + (2*g1^2*t^8.357)/y + (2*t^8.571)/y + (3*t^8.786)/(g1^2*y) + (3*g1^2*t^8.786)/y - t^4.286*y - t^6.429*y - t^6.857*y + t^7.286*y + 3*t^7.714*y + 3*t^8.143*y + (2*t^8.357*y)/g1^2 + 2*g1^2*t^8.357*y + 2*t^8.571*y + (3*t^8.786*y)/g1^2 + 3*g1^2*t^8.786*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 |
|---|---|---|---|---|---|---|---|---|
| 2969 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.599 | 0.7597 | 0.7885 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.8571], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | 2*t^2.143 + 2*t^2.571 + t^3. + 2*t^3.214 + 2*t^3.643 + 3*t^4.286 + 5*t^4.714 + 5*t^5.143 + 4*t^5.357 + t^5.571 + 6*t^5.786 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 13149/21952, c: 16677/21952, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, M6: 6/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| 2968 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.5955 | 0.7552 | 0.7885 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.8731], q:[0.3491, 0.6509], qb:[0.3651, 0.9206], phi:[0.4286]] | 2*t^2.143 + t^2.571 + t^2.619 + t^3. + t^3.048 + t^3.429 + t^3.477 + t^3.809 + 3*t^4.286 + 3*t^4.714 + 2*t^4.762 + 3*t^5.143 + 3*t^5.191 + t^5.239 + 2*t^5.571 + 3*t^5.619 + t^5.667 + t^5.952 - t^6. - t^4.286/y - t^4.286*y | detail | |
| 2967 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6046 | 0.7716 | 0.7835 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7557], q:[0.3064, 0.6936], qb:[0.4079, 0.8779], phi:[0.4286]] | 2*t^2.143 + t^2.267 + t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.429 + t^3.553 + 3*t^4.286 + 2*t^4.41 + t^4.534 + 3*t^4.714 + t^4.839 + 3*t^5.143 + 3*t^5.267 + t^5.391 + 2*t^5.447 + 3*t^5.571 + 3*t^5.696 + t^5.82 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 574 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ | 0.7096 | 0.8749 | 0.811 | [M:[1.0, 0.9169, 1.0831, 0.8338, 0.9169], q:[0.4404, 0.5596], qb:[0.4765, 0.6066], phi:[0.4792]] | t^2.501 + 2*t^2.751 + t^2.875 + t^3. + t^3.108 + t^3.141 + t^4.08 + t^4.188 + t^4.297 + t^4.438 + t^4.546 + t^4.579 + t^4.687 + t^4.795 + t^4.936 + t^5.003 + t^5.077 + 2*t^5.252 + t^5.377 + 3*t^5.501 + 2*t^5.626 + 2*t^5.751 + t^5.859 + t^5.875 + t^5.892 + t^5.984 - 3*t^6. - t^4.438/y - t^4.438*y | detail |