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 |
|---|---|---|---|---|---|---|---|---|---|
| 1228 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6209 | 0.7647 | 0.812 | [M:[1.0, 1.1, 0.7, 0.9, 1.0], q:[0.8, 0.3], qb:[0.7, 0.6], phi:[0.4]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 19869/32000, c: 24469/32000, M1: 1, M2: 11/10, M3: 7/10, M4: 9/10, M5: 1, q1: 4/5, q2: 3/10, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$ | ${}M_{1}M_{5}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 1 | t^2.1 + t^2.4 + t^2.7 + 2*t^3. + t^3.3 + t^3.9 + 3*t^4.2 + 2*t^4.5 + 2*t^4.8 + 3*t^5.1 + 5*t^5.4 + t^5.7 + t^6. + 3*t^6.3 + 3*t^6.6 + 3*t^6.9 + 5*t^7.2 + 6*t^7.5 + 5*t^7.8 + 2*t^8.1 + 5*t^8.4 + 2*t^8.7 - t^4.2/y - t^6.3/y - t^6.6/y + t^7.5/y + (2*t^7.8)/y + (4*t^8.1)/y + (2*t^8.4)/y + (2*t^8.7)/y - t^4.2*y - t^6.3*y - t^6.6*y + t^7.5*y + 2*t^7.8*y + 4*t^8.1*y + 2*t^8.4*y + 2*t^8.7*y | t^2.1 + t^2.4 + t^2.7 + 2*t^3. + t^3.3 + t^3.9 + 3*t^4.2 + 2*t^4.5 + 2*t^4.8 + 3*t^5.1 + 5*t^5.4 + t^5.7 + t^6. + 3*t^6.3 + 3*t^6.6 + 3*t^6.9 + 5*t^7.2 + 6*t^7.5 + 5*t^7.8 + 2*t^8.1 + 5*t^8.4 + 2*t^8.7 - t^4.2/y - t^6.3/y - t^6.6/y + t^7.5/y + (2*t^7.8)/y + (4*t^8.1)/y + (2*t^8.4)/y + (2*t^8.7)/y - t^4.2*y - t^6.3*y - t^6.6*y + t^7.5*y + 2*t^7.8*y + 4*t^8.1*y + 2*t^8.4*y + 2*t^8.7*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 |
|---|---|---|---|---|---|---|---|---|
| 2280 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{6}$ | 0.63 | 0.78 | 0.8077 | [M:[1.0, 1.1, 0.7, 0.9, 1.0, 0.9], q:[0.8, 0.3], qb:[0.7, 0.6], phi:[0.4]] | t^2.1 + t^2.4 + 2*t^2.7 + 2*t^3. + t^3.9 + 3*t^4.2 + 2*t^4.5 + 3*t^4.8 + 4*t^5.1 + 6*t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 63/100, c: 39/50, M1: 1, M2: 11/10, M3: 7/10, M4: 9/10, M5: 1, M6: 9/10, q1: 4/5, q2: 3/10, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
| 2279 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{6}$ | 0.6004 | 0.7254 | 0.8277 | [M:[1.0, 1.1, 0.7, 0.9, 1.0, 1.3], q:[0.8, 0.3], qb:[0.7, 0.6], phi:[0.4]] | t^2.4 + t^2.7 + 2*t^3. + t^3.3 + 2*t^3.9 + 2*t^4.2 + t^4.5 + t^4.8 + t^5.1 + 4*t^5.4 + t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 4803/8000, c: 5803/8000, M1: 1, M2: 11/10, M3: 7/10, M4: 9/10, M5: 1, M6: 13/10, q1: 4/5, q2: 3/10, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 746 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6663 | 0.822 | 0.8106 | [M:[1.0, 1.1636, 0.9332, 0.8364, 0.788], q:[0.7788, 0.3848], qb:[0.6152, 0.4516], phi:[0.4424]] | t^2.364 + t^2.509 + t^2.654 + t^2.8 + t^3. + t^3.491 + t^3.691 + t^3.836 + t^4.037 + t^4.182 + t^4.327 + t^4.528 + t^4.728 + t^4.873 + 3*t^5.018 + 2*t^5.164 + t^5.309 + t^5.364 + t^5.454 + t^5.599 + t^5.654 + t^5.855 - t^6. - t^4.327/y - t^4.327*y | detail |