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 |
|---|---|---|---|---|---|---|---|---|---|
| 45917 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ | 0.6583 | 0.8368 | 0.7867 | [M:[0.8221, 0.8221], q:[0.75, 0.4279], qb:[0.4279, 0.3942], phi:[0.5]] | [M:[[1, 1], [-1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -4 | 4*t^2.466 + t^2.567 + t^3. + t^3.433 + t^3.865 + 2*t^3.966 + 3*t^4.067 + 10*t^4.933 + 4*t^5.034 + t^5.135 + 4*t^5.466 + t^5.567 + 2*t^5.899 - 4*t^6. - 2*t^6.101 + 4*t^6.331 + 8*t^6.433 + 10*t^6.534 + 3*t^6.635 + t^6.865 - 2*t^6.966 - t^7.067 + t^7.298 + 18*t^7.399 + 5*t^7.5 + t^7.702 + t^7.73 + 2*t^7.831 + 12*t^7.933 + 6*t^8.034 + 6*t^8.135 + 2*t^8.365 - 18*t^8.466 - 12*t^8.567 - 2*t^8.669 + 10*t^8.798 + 18*t^8.899 - t^4.5/y - (2*t^6.966)/y + (6*t^7.933)/y + (6*t^8.034)/y + (4*t^8.466)/y + t^8.567/y + (4*t^8.899)/y - t^4.5*y - 2*t^6.966*y + 6*t^7.933*y + 6*t^8.034*y + 4*t^8.466*y + t^8.567*y + 4*t^8.899*y | (2*t^2.466)/g1 + 2*g1*g2*t^2.466 + t^2.567/g2 + t^3. + g2*t^3.433 + g2^2*t^3.865 + t^3.966/g1 + g1*g2*t^3.966 + g1^2*t^4.067 + t^4.067/(g1^2*g2^2) + t^4.067/g2 + (3*t^4.933)/g1^2 + 4*g2*t^4.933 + 3*g1^2*g2^2*t^4.933 + 2*g1*t^5.034 + (2*t^5.034)/(g1*g2) + t^5.135/g2^2 + (2*t^5.466)/g1 + 2*g1*g2*t^5.466 + t^5.567/g2 + (g2*t^5.899)/g1 + g1*g2^2*t^5.899 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. - t^6.101/(g1*g2^2) - (g1*t^6.101)/g2 + (2*g2^2*t^6.331)/g1 + 2*g1*g2^3*t^6.331 + (2*t^6.433)/g1^2 + 4*g2*t^6.433 + 2*g1^2*g2^2*t^6.433 + 3*g1*t^6.534 + (2*t^6.534)/(g1^3*g2^2) + (3*t^6.534)/(g1*g2) + 2*g1^3*g2*t^6.534 + t^6.635/(g1^2*g2^3) + t^6.635/g2^2 + (g1^2*t^6.635)/g2 + g2^2*t^6.865 - t^6.966/g1 - g1*g2*t^6.966 - t^7.067/g2 + g2^3*t^7.298 + (4*t^7.399)/g1^3 + (5*g2*t^7.399)/g1 + 5*g1*g2^2*t^7.399 + 4*g1^3*g2^3*t^7.399 + t^7.5 + (2*t^7.5)/(g1^2*g2) + 2*g1^2*g2*t^7.5 + t^7.702/g2^3 + g2^4*t^7.73 + (g2^2*t^7.831)/g1 + g1*g2^3*t^7.831 + (4*t^7.933)/g1^2 + 4*g2*t^7.933 + 4*g1^2*g2^2*t^7.933 + 2*g1*t^8.034 + t^8.034/(g1^3*g2^2) + (2*t^8.034)/(g1*g2) + g1^3*g2*t^8.034 + g1^4*t^8.135 + t^8.135/(g1^4*g2^4) + t^8.135/(g1^2*g2^3) + (2*t^8.135)/g2^2 + (g1^2*t^8.135)/g2 + (g2*t^8.365)/g1^2 + g1^2*g2^3*t^8.365 - (7*t^8.466)/g1 - (2*t^8.466)/(g1^3*g2) - 7*g1*g2*t^8.466 - 2*g1^3*g2^2*t^8.466 - 3*g1^2*t^8.567 - (3*t^8.567)/(g1^2*g2^2) - (6*t^8.567)/g2 - t^8.669/(g1*g2^3) - (g1*t^8.669)/g2^2 + (3*g2^2*t^8.798)/g1^2 + 4*g2^3*t^8.798 + 3*g1^2*g2^4*t^8.798 + (3*t^8.899)/g1^3 + (6*g2*t^8.899)/g1 + 6*g1*g2^2*t^8.899 + 3*g1^3*g2^3*t^8.899 - t^4.5/y - t^6.966/(g1*y) - (g1*g2*t^6.966)/y + t^7.933/(g1^2*y) + (4*g2*t^7.933)/y + (g1^2*g2^2*t^7.933)/y + (3*g1*t^8.034)/y + (3*t^8.034)/(g1*g2*y) + (2*t^8.466)/(g1*y) + (2*g1*g2*t^8.466)/y + t^8.567/(g2*y) + (2*g2*t^8.899)/(g1*y) + (2*g1*g2^2*t^8.899)/y - t^4.5*y - (t^6.966*y)/g1 - g1*g2*t^6.966*y + (t^7.933*y)/g1^2 + 4*g2*t^7.933*y + g1^2*g2^2*t^7.933*y + 3*g1*t^8.034*y + (3*t^8.034*y)/(g1*g2) + (2*t^8.466*y)/g1 + 2*g1*g2*t^8.466*y + (t^8.567*y)/g2 + (2*g2*t^8.899*y)/g1 + 2*g1*g2^2*t^8.899*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 |
|---|---|---|---|---|---|---|---|---|
| 45977 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6791 | 0.8778 | 0.7737 | [M:[0.8213, 0.8237, 0.6763], q:[0.75, 0.4287], qb:[0.4263, 0.395], phi:[0.5]] | t^2.029 + 2*t^2.464 + 2*t^2.471 + t^2.565 + t^3. + t^3.435 + t^3.87 + t^3.964 + 2*t^4.058 + t^4.065 + t^4.072 + 2*t^4.493 + 2*t^4.5 + t^4.594 + 3*t^4.928 + 4*t^4.935 + 3*t^4.942 + 3*t^5.029 + 2*t^5.036 + t^5.13 + 3*t^5.464 + 2*t^5.471 + t^5.565 + 2*t^5.899 + t^5.906 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 46003 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6789 | 0.8759 | 0.775 | [M:[0.8267, 0.8267, 0.6933], q:[0.75, 0.4233], qb:[0.4233, 0.4033], phi:[0.5]] | t^2.08 + 4*t^2.48 + t^2.54 + t^3. + t^3.46 + 2*t^3.98 + 3*t^4.04 + t^4.16 + 4*t^4.56 + t^4.62 + 10*t^4.96 + 4*t^5.02 + 2*t^5.08 + 4*t^5.48 + 2*t^5.54 + 2*t^5.94 - 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 325849/480000, c: 420449/480000, M1: 62/75, M2: 62/75, M3: 52/75, q1: 3/4, q2: 127/300, qb1: 127/300, qb2: 121/300, phi1: 1/2} |
| 45974 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6719 | 0.8594 | 0.7818 | [M:[0.8333, 0.8333, 0.8333], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | 6*t^2.5 + t^3. + 6*t^4. + 21*t^5. + 6*t^5.5 - 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 43/64, c: 55/64, M1: 5/6, M2: 5/6, M3: 5/6, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45868 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.7148 | 0.8821 | 0.8104 | [M:[0.6739, 0.6739], q:[0.7976, 0.5285], qb:[0.5285, 0.526], phi:[0.4048]] | 2*t^2.022 + t^2.429 + 2*t^3.164 + t^3.171 + t^3.971 + 3*t^4.043 + t^4.371 + 2*t^4.378 + 3*t^4.386 + 2*t^4.451 + t^4.858 + 4*t^5.185 + 2*t^5.193 + 2*t^5.593 + t^5.6 - 5*t^6. - t^4.214/y - t^4.214*y | detail |