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 |
|---|---|---|---|---|---|---|---|---|---|
| 46813 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6256 | 0.8117 | 0.7708 | [M:[0.7331, 0.7105, 1.0, 1.2669, 0.7556], q:[0.7556, 0.5113], qb:[0.5339, 0.2444], phi:[0.4887]] | [M:[[3], [7], [0], [-3], [-1]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.131 + 2*t^2.267 + t^2.335 + 2*t^2.932 + t^3. + t^3.136 + 2*t^3.801 + t^4.263 + 2*t^4.398 + t^4.466 + 4*t^4.534 + 3*t^4.602 + 2*t^4.669 + 2*t^5.064 + 3*t^5.199 + 5*t^5.267 + t^5.335 + 2*t^5.402 + t^5.47 + 3*t^5.864 + 2*t^5.932 - 3*t^6. + 4*t^6.068 + 2*t^6.136 + t^6.271 + t^6.394 + 2*t^6.53 + 2*t^6.665 + 4*t^6.733 + 6*t^6.801 + 3*t^6.869 + 6*t^6.936 + 2*t^7.004 + 2*t^7.195 + 3*t^7.331 + 2*t^7.398 + 3*t^7.466 + 6*t^7.534 + 7*t^7.602 + 4*t^7.669 + 2*t^7.737 + 2*t^7.805 + 3*t^7.996 + 6*t^8.199 - 6*t^8.267 + t^8.335 + 4*t^8.402 + 3*t^8.47 + t^8.526 + 2*t^8.538 + t^8.606 + 2*t^8.661 + 7*t^8.797 + 3*t^8.864 - 5*t^8.932 - t^4.466/y - t^6.598/y - t^6.733/y + t^7.398/y + t^7.466/y + (2*t^7.534)/y + (2*t^7.602)/y + (2*t^8.064)/y + t^8.131/y + (5*t^8.199)/y + (5*t^8.267)/y + (2*t^8.335)/y + (2*t^8.402)/y + t^8.47/y - t^8.729/y + (4*t^8.932)/y - t^4.466*y - t^6.598*y - t^6.733*y + t^7.398*y + t^7.466*y + 2*t^7.534*y + 2*t^7.602*y + 2*t^8.064*y + t^8.131*y + 5*t^8.199*y + 5*t^8.267*y + 2*t^8.335*y + 2*t^8.402*y + t^8.47*y - t^8.729*y + 4*t^8.932*y | g1^7*t^2.131 + (2*t^2.267)/g1 + t^2.335/g1^5 + 2*g1^4*t^2.932 + t^3. + t^3.136/g1^8 + (2*t^3.801)/g1^3 + g1^14*t^4.263 + 2*g1^6*t^4.398 + g1^2*t^4.466 + (4*t^4.534)/g1^2 + (3*t^4.602)/g1^6 + (2*t^4.669)/g1^10 + 2*g1^11*t^5.064 + 3*g1^3*t^5.199 + (5*t^5.267)/g1 + t^5.335/g1^5 + (2*t^5.402)/g1^9 + t^5.47/g1^13 + 3*g1^8*t^5.864 + 2*g1^4*t^5.932 - 3*t^6. + (4*t^6.068)/g1^4 + (2*t^6.136)/g1^8 + t^6.271/g1^16 + g1^21*t^6.394 + 2*g1^13*t^6.53 + 2*g1^5*t^6.665 + 4*g1*t^6.733 + (6*t^6.801)/g1^3 + (3*t^6.869)/g1^7 + (6*t^6.936)/g1^11 + (2*t^7.004)/g1^15 + 2*g1^18*t^7.195 + 3*g1^10*t^7.331 + 2*g1^6*t^7.398 + 3*g1^2*t^7.466 + (6*t^7.534)/g1^2 + (7*t^7.602)/g1^6 + (4*t^7.669)/g1^10 + (2*t^7.737)/g1^14 + (2*t^7.805)/g1^18 + 3*g1^15*t^7.996 + 6*g1^3*t^8.199 - (6*t^8.267)/g1 + t^8.335/g1^5 + (4*t^8.402)/g1^9 + (3*t^8.47)/g1^13 + g1^28*t^8.526 + (2*t^8.538)/g1^17 + t^8.606/g1^21 + 2*g1^20*t^8.661 + 7*g1^12*t^8.797 + 3*g1^8*t^8.864 - 5*g1^4*t^8.932 - (g1^2*t^4.466)/y - (g1^9*t^6.598)/y - (g1*t^6.733)/y + (g1^6*t^7.398)/y + (g1^2*t^7.466)/y + (2*t^7.534)/(g1^2*y) + (2*t^7.602)/(g1^6*y) + (2*g1^11*t^8.064)/y + (g1^7*t^8.131)/y + (5*g1^3*t^8.199)/y + (5*t^8.267)/(g1*y) + (2*t^8.335)/(g1^5*y) + (2*t^8.402)/(g1^9*y) + t^8.47/(g1^13*y) - (g1^16*t^8.729)/y + (4*g1^4*t^8.932)/y - g1^2*t^4.466*y - g1^9*t^6.598*y - g1*t^6.733*y + g1^6*t^7.398*y + g1^2*t^7.466*y + (2*t^7.534*y)/g1^2 + (2*t^7.602*y)/g1^6 + 2*g1^11*t^8.064*y + g1^7*t^8.131*y + 5*g1^3*t^8.199*y + (5*t^8.267*y)/g1 + (2*t^8.335*y)/g1^5 + (2*t^8.402*y)/g1^9 + (t^8.47*y)/g1^13 - g1^16*t^8.729*y + 4*g1^4*t^8.932*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 |
|---|---|---|---|---|---|---|---|---|
| 54349 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6242 | 0.8107 | 0.7699 | [M:[0.7441, 0.7363, 1.0, 1.2559, 0.752, 1.0078], q:[0.752, 0.5039], qb:[0.5117, 0.248], phi:[0.4961]] | t^2.209 + 2*t^2.256 + t^2.279 + t^2.977 + t^3. + t^3.023 + t^3.047 + 2*t^3.768 + t^4.418 + 2*t^4.465 + t^4.488 + 4*t^4.512 + 3*t^4.535 + 2*t^4.559 + t^5.185 + 2*t^5.232 + 4*t^5.256 + 3*t^5.279 + 3*t^5.303 + t^5.326 + t^5.953 + t^5.977 - 2*t^6. - t^4.488/y - t^4.488*y | detail | |
| 55426 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.5963 | 0.7549 | 0.7898 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 1.3077, 0.7692], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | 2*t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + 2*t^3.923 + t^4.154 + 4*t^4.615 + 2*t^4.846 + 5*t^5.077 + 4*t^5.308 + 4*t^5.538 + 2*t^5.769 - 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 20961/35152, c: 13269/17576, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 17/13, M5: 10/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46763 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6068 | 0.7776 | 0.7804 | [M:[0.7318, 0.7075, 1.0, 1.2682], q:[0.7561, 0.5122], qb:[0.5365, 0.2439], phi:[0.4878]] | t^2.122 + t^2.268 + t^2.341 + 2*t^2.927 + t^3. + t^3.146 + t^3.732 + 2*t^3.805 + t^4.245 + t^4.391 + t^4.464 + 2*t^4.536 + 2*t^4.609 + 2*t^4.682 + 2*t^5.049 + t^5.195 + 4*t^5.268 + t^5.341 + t^5.414 + t^5.487 + 4*t^5.854 + 2*t^5.927 - 2*t^6. - t^4.464/y - t^4.464*y | detail |