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 |
|---|---|---|---|---|---|---|---|---|---|
| 8778 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ | 1.043 | 1.1367 | 0.9175 | [X:[1.6667, 1.3333], M:[1.1667, 0.8333, 0.8333], q:[0.3333, 0.6667], qb:[], phi:[0.1667]] | [X:[[0], [0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 267/256, c: 291/256, X1: 5/3, X2: 4/3, M1: 7/6, M2: 5/6, M3: 5/6, q1: 1/3, q2: 2/3, phi1: 1/6} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^2q_1q_2$, $ X_2$, $ \phi_1^3q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ X_1$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ \phi_1^3q_2^2$ | $M_2\phi_1^3q_1^2$, $ M_3\phi_1^3q_1^2$ | 0 | 2*t^2.5 + t^3. + t^3.5 + 2*t^4. + 2*t^4.5 + 3*t^5. + 2*t^5.5 + 3*t^6.5 + 5*t^7. + 5*t^7.5 + 8*t^8. + t^8.5 + t^8./y^2 - t^3.5/y - t^4.5/y - (2*t^6.)/y - t^6.5/y - (2*t^7.)/y - (2*t^7.5)/y - t^8.5/y - t^3.5*y - t^4.5*y - 2*t^6.*y - t^6.5*y - 2*t^7.*y - 2*t^7.5*y - t^8.5*y + t^8.*y^2 | 2*t^2.5 + t^3. + t^3.5 + 2*t^4. + 2*t^4.5 + 3*t^5. + 2*t^5.5 + 3*t^6.5 + 5*t^7. + 5*t^7.5 + 8*t^8. + t^8.5 + t^8./y^2 - t^3.5/y - t^4.5/y - (2*t^6.)/y - t^6.5/y - (2*t^7.)/y - (2*t^7.5)/y - t^8.5/y - t^3.5*y - t^4.5*y - 2*t^6.*y - t^6.5*y - 2*t^7.*y - 2*t^7.5*y - t^8.5*y + t^8.*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8890 | $\phi_1^2X_1$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1^3q_1^2$ | 1.0573 | 1.1615 | 0.9103 | [X:[1.6667, 1.3333], M:[1.1667, 0.8333, 0.8333, 0.8333], q:[0.3333, 0.6667], qb:[], phi:[0.1667]] | 3*t^2.5 + t^3. + 2*t^4. + 2*t^4.5 + 6*t^5. + 3*t^5.5 - 2*t^6. - t^3.5/y - t^4.5/y - (3*t^6.)/y - t^3.5*y - t^4.5*y - 3*t^6.*y | detail | {a: 203/192, c: 223/192, X1: 5/3, X2: 4/3, M1: 7/6, M2: 5/6, M3: 5/6, M4: 5/6, q1: 1/3, q2: 2/3, phi1: 1/6} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8619 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ | 1.0286 | 1.112 | 0.9251 | [X:[1.6667, 1.3333], M:[1.1667, 0.8333], q:[0.3333, 0.6667], qb:[], phi:[0.1667]] | t^2.5 + t^3. + 2*t^3.5 + 2*t^4. + 2*t^4.5 + t^5. + t^5.5 - t^3.5/y - t^4.5/y - t^6./y - t^3.5*y - t^4.5*y - t^6.*y | detail | {a: 395/384, c: 427/384, X1: 5/3, X2: 4/3, M1: 7/6, M2: 5/6, q1: 1/3, q2: 2/3, phi1: 1/6} |