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 |
|---|---|---|---|---|---|---|---|---|---|
| 46955 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6152 | 0.7715 | 0.7975 | [X:[], M:[1.1667, 0.75, 0.8333, 1.25], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 315/512, c: 395/512, M1: 7/6, M2: 3/4, M3: 5/6, M4: 5/4, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{3}$, ${ }M_{2}M_{4}$ | 2 | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + 2*t^5.75 + 2*t^6. + 3*t^6.25 + 4*t^6.5 + 5*t^6.75 + 5*t^7. + 4*t^7.25 + 6*t^7.5 + 4*t^7.75 + 5*t^8. + 4*t^8.25 + 3*t^8.5 + t^8.75 - t^4.5/y + t^7.75/y + t^8./y + (2*t^8.25)/y + (2*t^8.5)/y + (4*t^8.75)/y - t^4.5*y + t^7.75*y + t^8.*y + 2*t^8.25*y + 2*t^8.5*y + 4*t^8.75*y | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + 2*t^5.75 + 2*t^6. + 3*t^6.25 + 4*t^6.5 + 5*t^6.75 + 5*t^7. + 4*t^7.25 + 6*t^7.5 + 4*t^7.75 + 5*t^8. + 4*t^8.25 + 3*t^8.5 + t^8.75 - t^4.5/y + t^7.75/y + t^8./y + (2*t^8.25)/y + (2*t^8.5)/y + (4*t^8.75)/y - t^4.5*y + t^7.75*y + t^8.*y + 2*t^8.25*y + 2*t^8.5*y + 4*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 55177 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.6009 | 0.7467 | 0.8047 | [X:[], M:[1.1667, 0.75, 0.8333, 1.25, 1.1667], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]] | t^2.25 + t^2.75 + t^3. + t^3.25 + 3*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^5. + t^5.25 + t^5.5 + 2*t^5.75 - t^4.5/y - t^4.5*y | detail | {a: 923/1536, c: 1147/1536, M1: 7/6, M2: 3/4, M3: 5/6, M4: 5/4, M5: 7/6, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2} |
| 50993 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6229 | 0.7843 | 0.7941 | [X:[], M:[1.1667, 0.75, 0.8333, 1.25, 0.9167], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]] | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + 2*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 2*t^5.75 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 3827/6144, c: 4819/6144, M1: 7/6, M2: 3/4, M3: 5/6, M4: 5/4, M5: 11/12, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46712 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.629 | 0.7983 | 0.788 | [X:[], M:[1.0975, 0.75, 0.6949, 1.25], q:[0.75, 0.4025], qb:[0.3475, 0.5], phi:[0.5]] | t^2.08 + t^2.25 + t^2.54 + t^3. + 2*t^3.29 + t^3.46 + t^3.58 + 2*t^3.75 + t^4.04 + t^4.17 + t^4.21 + t^4.33 + 2*t^4.5 + t^4.63 + t^4.79 + 2*t^5.08 + t^5.25 + 2*t^5.38 + 3*t^5.54 + t^5.67 + 4*t^5.83 - t^4.5/y - t^4.5*y | detail |