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 |
|---|---|---|---|---|---|---|---|---|---|
| 4070 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_1M_3$ + $ M_4X_1$ + $ M_1M_6$ + $ M_7q_1q_2$ | 0.6163 | 0.7622 | 0.8087 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 1.0, 0.8333, 0.9444], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 355/576, c: 439/576, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 1, M6: 5/6, M7: 17/18, q1: 7/9, q2: 5/18, qb1: 5/9, qb2: 11/18, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ \phi_1^2$, $ M_7$, $ M_5$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ X_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_3M_7$, $ M_6M_7$, $ \phi_1^4$, $ M_3M_5$, $ M_5M_6$, $ M_7\phi_1^2$, $ M_7^2$, $ M_5\phi_1^2$, $ M_2M_3$, $ M_2M_6$, $ M_5M_7$ | . | -1 | 2*t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.33 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + 3*t^5. + t^5.17 + 3*t^5.33 + 3*t^5.5 + 2*t^5.67 + t^5.83 - t^6. + t^6.33 + 2*t^6.5 + 3*t^6.67 + 2*t^6.83 + t^7. + t^7.17 + t^7.33 + 4*t^7.5 + 3*t^7.67 + 4*t^7.83 + 6*t^8. + 4*t^8.17 + 3*t^8.33 - t^8.5 - 2*t^8.83 - t^4.33/y - t^6.83/y - t^7.17/y + t^7.5/y + t^7.83/y + t^8./y + (2*t^8.17)/y + (2*t^8.33)/y + (3*t^8.5)/y + t^8.67/y + (3*t^8.83)/y - t^4.33*y - t^6.83*y - t^7.17*y + t^7.5*y + t^7.83*y + t^8.*y + 2*t^8.17*y + 2*t^8.33*y + 3*t^8.5*y + t^8.67*y + 3*t^8.83*y | 2*t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.33 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + 3*t^5. + t^5.17 + 3*t^5.33 + 3*t^5.5 + 2*t^5.67 + t^5.83 - t^6. + t^6.33 + 2*t^6.5 + 3*t^6.67 + 2*t^6.83 + t^7. + t^7.17 + t^7.33 + 4*t^7.5 + 3*t^7.67 + 4*t^7.83 + 6*t^8. + 4*t^8.17 + 3*t^8.33 - t^8.5 - 2*t^8.83 - t^4.33/y - t^6.83/y - t^7.17/y + t^7.5/y + t^7.83/y + t^8./y + (2*t^8.17)/y + (2*t^8.33)/y + (3*t^8.5)/y + t^8.67/y + (3*t^8.83)/y - t^4.33*y - t^6.83*y - t^7.17*y + t^7.5*y + t^7.83*y + t^8.*y + 2*t^8.17*y + 2*t^8.33*y + 3*t^8.5*y + t^8.67*y + 3*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 5609 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_1M_3$ + $ M_4X_1$ + $ M_1M_6$ + $ M_7q_1q_2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6363 | 0.7995 | 0.7959 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 1.0, 0.8333, 0.9444, 0.7222], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | t^2.17 + 2*t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.33 + 2*t^4. + t^4.17 + t^4.33 + 3*t^4.67 + 2*t^4.83 + 4*t^5. + 2*t^5.17 + 3*t^5.33 + 4*t^5.5 + 2*t^5.67 + t^5.83 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 13195/20736, c: 16579/20736, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 1, M6: 5/6, M7: 17/18, M8: 13/18, q1: 7/9, q2: 5/18, qb1: 5/9, qb2: 11/18, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1687 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_1M_3$ + $ M_4X_1$ + $ M_1M_6$ | 0.6112 | 0.7535 | 0.8111 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 1.0, 0.8333], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | 2*t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.33 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + 3*t^5. + t^5.17 + t^5.33 + 2*t^5.5 + 3*t^5.67 + t^5.83 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 12673/20736, c: 15625/20736, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 1, M6: 5/6, q1: 7/9, q2: 5/18, qb1: 5/9, qb2: 11/18, phi1: 4/9} |