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 |
|---|---|---|---|---|---|---|---|---|---|
| 3174 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}^{2}$ | 0.6026 | 0.751 | 0.8024 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 1.0], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 9873/16384, c: 12305/16384, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 1, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | 0 | t^2.25 + t^2.625 + t^2.75 + t^2.875 + t^3. + t^3.25 + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + t^5. + t^5.125 + 3*t^5.25 + 2*t^5.5 + 2*t^5.625 + 2*t^5.75 + 2*t^5.875 + t^6.125 + t^6.375 + 2*t^6.5 + t^6.625 + t^6.75 + t^6.875 + 3*t^7. + 2*t^7.125 + 2*t^7.25 + 3*t^7.5 + t^7.75 + 3*t^7.875 + 4*t^8. + 3*t^8.125 + 2*t^8.25 + 2*t^8.375 + 4*t^8.5 + t^8.625 + t^8.75 - t^8.875 - t^4.375/y - t^7./y - t^7.25/y + t^7.5/y + t^7.75/y + t^7.875/y + t^8./y + t^8.125/y + t^8.25/y + t^8.375/y + (2*t^8.5)/y + (2*t^8.625)/y + t^8.75/y + (3*t^8.875)/y - t^4.375*y - t^7.*y - t^7.25*y + t^7.5*y + t^7.75*y + t^7.875*y + t^8.*y + t^8.125*y + t^8.25*y + t^8.375*y + 2*t^8.5*y + 2*t^8.625*y + t^8.75*y + 3*t^8.875*y | t^2.25 + t^2.625 + t^2.75 + t^2.875 + t^3. + t^3.25 + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + t^5. + t^5.125 + 3*t^5.25 + 2*t^5.5 + 2*t^5.625 + 2*t^5.75 + 2*t^5.875 + t^6.125 + t^6.375 + 2*t^6.5 + t^6.625 + t^6.75 + t^6.875 + 3*t^7. + 2*t^7.125 + 2*t^7.25 + 3*t^7.5 + t^7.75 + 3*t^7.875 + 4*t^8. + 3*t^8.125 + 2*t^8.25 + 2*t^8.375 + 4*t^8.5 + t^8.625 + t^8.75 - t^8.875 - t^4.375/y - t^7./y - t^7.25/y + t^7.5/y + t^7.75/y + t^7.875/y + t^8./y + t^8.125/y + t^8.25/y + t^8.375/y + (2*t^8.5)/y + (2*t^8.625)/y + t^8.75/y + (3*t^8.875)/y - t^4.375*y - t^7.*y - t^7.25*y + t^7.5*y + t^7.75*y + t^7.875*y + t^8.*y + t^8.125*y + t^8.25*y + t^8.375*y + 2*t^8.5*y + 2*t^8.625*y + t^8.75*y + 3*t^8.875*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 |
|---|---|---|---|---|---|---|---|---|
| 5047 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}M_{7}$ | 0.5987 | 0.7445 | 0.8041 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 1.0, 1.0417], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | t^2.25 + t^2.625 + t^2.75 + t^3. + t^3.125 + t^3.25 + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + t^5. + 3*t^5.25 + t^5.375 + t^5.5 + t^5.625 + 2*t^5.75 + 2*t^5.875 - t^4.375/y - t^4.375*y | detail | {a: 7357/12288, c: 9149/12288, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 1, M7: 25/24, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
| 5048 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6196 | 0.781 | 0.7933 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 1.0, 0.7917], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | t^2.25 + t^2.375 + t^2.625 + t^2.75 + t^2.875 + t^3. + t^3.25 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.625 + 2*t^4.75 + 2*t^5. + 2*t^5.125 + 4*t^5.25 + t^5.375 + 2*t^5.5 + 3*t^5.625 + 2*t^5.75 + t^5.875 - t^4.375/y - t^4.375*y | detail | {a: 15227/24576, c: 19195/24576, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 1, M7: 19/24, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2101 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6696 | 0.8411 | 0.796 | [M:[1.0808, 0.8074, 1.0559, 0.8323, 1.1677, 0.6707], q:[0.5155, 0.4037], qb:[0.4286, 0.764], phi:[0.4721]] | t^2.012 + t^2.422 + t^2.497 + t^2.832 + t^3.168 + t^3.242 + t^3.503 + 2*t^3.838 + t^3.913 + t^4.024 + t^4.174 + t^4.248 + t^4.434 + 2*t^4.509 + 2*t^4.845 + t^4.919 + t^4.994 + t^5.18 + 2*t^5.255 + t^5.329 + t^5.515 + t^5.59 + 2*t^5.665 + 2*t^5.851 + t^5.925 - t^6. - t^4.416/y - t^4.416*y | detail |