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 |
|---|---|---|---|---|---|---|---|---|---|
| 2813 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.5988 | 0.7622 | 0.7855 | [M:[1.0, 0.8462, 1.1538, 0.6923], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | [M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2631/4394, c: 13397/17576, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | 0 | t^2.077 + t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + t^3.923 + 2*t^4.154 + t^4.385 + 3*t^4.615 + 3*t^4.846 + 4*t^5.077 + 3*t^5.308 + 5*t^5.538 + 2*t^5.769 + 3*t^6.231 + 3*t^6.462 + 4*t^6.692 + 5*t^6.923 + 4*t^7.154 + 6*t^7.385 + 7*t^7.615 + 6*t^7.846 + 5*t^8.077 + 7*t^8.308 + t^8.538 - t^4.385/y - t^6.462/y - t^7.154/y + t^7.385/y + (2*t^7.615)/y + (3*t^7.846)/y + (3*t^8.077)/y + (4*t^8.308)/y + (2*t^8.538)/y + (4*t^8.769)/y - t^4.385*y - t^6.462*y - t^7.154*y + t^7.385*y + 2*t^7.615*y + 3*t^7.846*y + 3*t^8.077*y + 4*t^8.308*y + 2*t^8.538*y + 4*t^8.769*y | t^2.077 + t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + t^3.923 + 2*t^4.154 + t^4.385 + 3*t^4.615 + 3*t^4.846 + 4*t^5.077 + 3*t^5.308 + 5*t^5.538 + 2*t^5.769 + 3*t^6.231 + 3*t^6.462 + 4*t^6.692 + 5*t^6.923 + 4*t^7.154 + 6*t^7.385 + 7*t^7.615 + 6*t^7.846 + 5*t^8.077 + 7*t^8.308 + t^8.538 - t^4.385/y - t^6.462/y - t^7.154/y + t^7.385/y + (2*t^7.615)/y + (3*t^7.846)/y + (3*t^8.077)/y + (4*t^8.308)/y + (2*t^8.538)/y + (4*t^8.769)/y - t^4.385*y - t^6.462*y - t^7.154*y + t^7.385*y + 2*t^7.615*y + 3*t^7.846*y + 3*t^8.077*y + 4*t^8.308*y + 2*t^8.538*y + 4*t^8.769*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 |
|---|---|---|---|---|---|---|---|---|
| 3341 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.6122 | 0.7852 | 0.7796 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | t^2.077 + t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.692 + t^3.923 + 2*t^4.154 + t^4.385 + 4*t^4.615 + 4*t^4.846 + 6*t^5.077 + 5*t^5.308 + 5*t^5.538 + t^5.769 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 21519/35152, c: 27603/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
| 3340 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.5781 | 0.7223 | 0.8003 | [M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + 2*t^3.923 + t^4.154 + 2*t^4.615 + t^4.846 + 3*t^5.077 + 3*t^5.308 + 4*t^5.538 + t^5.769 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 10161/17576, c: 1587/2197, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
| 3343 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6194 | 0.8021 | 0.7722 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.6923], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | 2*t^2.077 + t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + 4*t^4.154 + 2*t^4.385 + 4*t^4.615 + 5*t^4.846 + 5*t^5.077 + 3*t^5.308 + 6*t^5.538 + 3*t^5.769 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 10887/17576, c: 7049/8788, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 9/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
| 3342 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6169 | 0.7948 | 0.7762 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.7692], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | t^2.077 + 2*t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.923 + 2*t^4.154 + 2*t^4.385 + 5*t^4.615 + 4*t^4.846 + 6*t^5.077 + 4*t^5.308 + 5*t^5.538 + 2*t^5.769 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 21687/35152, c: 6985/8788, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 10/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.599 | 0.7629 | 0.7852 | [M:[1.0, 0.8383, 1.1617, 0.6765], q:[0.2298, 0.7702], qb:[0.6085, 0.5533], phi:[0.4596]] | t^2.03 + t^2.349 + t^2.515 + 2*t^2.757 + t^3. + t^3.485 + t^3.728 + t^3.893 + t^4.059 + t^4.136 + t^4.379 + t^4.544 + 2*t^4.698 + 2*t^4.787 + t^4.864 + 2*t^5.03 + 2*t^5.107 + 2*t^5.272 + t^5.349 + 5*t^5.515 + 2*t^5.757 + t^5.923 - 2*t^6. - t^4.379/y - t^4.379*y | detail |