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 |
|---|---|---|---|---|---|---|---|---|---|
| 1362 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_1X_1$ | 0.554 | 0.686 | 0.8076 | [X:[1.3333], M:[0.6667, 1.1111, 0.7778, 1.1111, 1.1111], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 359/648, c: 889/1296, X1: 4/3, M1: 2/3, M2: 10/9, M3: 7/9, M4: 10/9, M5: 10/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ M_5$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_2M_3$, $ M_3M_4$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$ | $M_3\phi_1q_2\tilde{q}_2$ | -2 | 2*t^2.33 + t^3. + 3*t^3.33 + t^3.67 + 2*t^4. + t^4.33 + 3*t^4.67 + 3*t^5.33 + 4*t^5.67 - 2*t^6. + 3*t^6.33 + 5*t^6.67 + 4*t^7. + 2*t^7.33 + 4*t^7.67 + 6*t^8. - 3*t^8.33 + 6*t^8.67 - t^4.33/y - t^6.67/y + (2*t^7.)/y - t^7.67/y + t^8./y + (2*t^8.33)/y + (6*t^8.67)/y - t^4.33*y - t^6.67*y + 2*t^7.*y - t^7.67*y + t^8.*y + 2*t^8.33*y + 6*t^8.67*y | 2*t^2.33 + t^3. + 3*t^3.33 + t^3.67 + 2*t^4. + t^4.33 + 3*t^4.67 + 3*t^5.33 + 4*t^5.67 - 2*t^6. + 3*t^6.33 + 5*t^6.67 + 4*t^7. + 2*t^7.33 + 4*t^7.67 + 6*t^8. - 3*t^8.33 + 6*t^8.67 - t^4.33/y - t^6.67/y + (2*t^7.)/y - t^7.67/y + t^8./y + (2*t^8.33)/y + (6*t^8.67)/y - t^4.33*y - t^6.67*y + 2*t^7.*y - t^7.67*y + t^8.*y + 2*t^8.33*y + 6*t^8.67*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 |
|---|---|---|---|---|---|---|---|---|
| 2419 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_1X_1$ + $ M_3M_6$ | 0.5363 | 0.6543 | 0.8196 | [X:[1.3333], M:[0.6667, 1.1111, 0.7778, 1.1111, 1.1111, 1.2222], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | t^2.33 + t^3. + 3*t^3.33 + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 2*t^5.33 + t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 695/1296, c: 53/81, X1: 4/3, M1: 2/3, M2: 10/9, M3: 7/9, M4: 10/9, M5: 10/9, M6: 11/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 868 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1^2$ + $ M_5\phi_1^2$ | 0.5762 | 0.7294 | 0.79 | [X:[], M:[0.7029, 1.099, 0.8019, 1.099, 1.099], q:[0.7748, 0.5223], qb:[0.6757, 0.2252], phi:[0.4505]] | t^2.11 + t^2.24 + t^2.41 + t^3. + 3*t^3.3 + t^3.59 + t^4.05 + t^4.22 + 2*t^4.35 + 2*t^4.49 + t^4.51 + t^4.81 + t^4.95 + t^5.24 + 5*t^5.41 + 2*t^5.54 + 3*t^5.7 + t^5.84 - 3*t^6. - t^4.35/y - t^4.35*y | detail |