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 |
|---|---|---|---|---|---|---|---|---|---|
| 1232 | 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_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6662 | 0.8225 | 0.81 | [X:[], M:[1.0, 1.1667, 0.9444, 0.8333, 0.7778], q:[0.7778, 0.3889], qb:[0.6111, 0.4444], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1535/2304, c: 1895/2304, M1: 1, M2: 7/6, M3: 17/18, M4: 5/6, M5: 7/9, q1: 7/9, q2: 7/18, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_2M_5$ | . | 0 | t^2.33 + t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.5 + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + t^4.83 + 3*t^5. + 2*t^5.17 + 2*t^5.33 + t^5.5 + 2*t^5.67 + t^5.83 + t^6.17 + 3*t^6.33 + 3*t^6.5 + 2*t^6.67 + 2*t^6.83 + 3*t^7. + 2*t^7.17 + 3*t^7.33 + 4*t^7.5 + 5*t^7.67 + 3*t^7.83 + 5*t^8. + 2*t^8.17 + t^8.33 + 2*t^8.5 + 2*t^8.67 + t^8.83 - t^4.33/y - t^6.67/y - t^7./y - t^7.17/y + t^7.5/y + t^7.67/y + t^7.83/y + (2*t^8.)/y + (2*t^8.17)/y + (2*t^8.33)/y + (2*t^8.5)/y + t^8.67/y + (2*t^8.83)/y - t^4.33*y - t^6.67*y - t^7.*y - t^7.17*y + t^7.5*y + t^7.67*y + t^7.83*y + 2*t^8.*y + 2*t^8.17*y + 2*t^8.33*y + 2*t^8.5*y + t^8.67*y + 2*t^8.83*y | t^2.33 + t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.5 + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + t^4.83 + 3*t^5. + 2*t^5.17 + 2*t^5.33 + t^5.5 + 2*t^5.67 + t^5.83 + t^6.17 + 3*t^6.33 + 3*t^6.5 + 2*t^6.67 + 2*t^6.83 + 3*t^7. + 2*t^7.17 + 3*t^7.33 + 4*t^7.5 + 5*t^7.67 + 3*t^7.83 + 5*t^8. + 2*t^8.17 + t^8.33 + 2*t^8.5 + 2*t^8.67 + t^8.83 - t^4.33/y - t^6.67/y - t^7./y - t^7.17/y + t^7.5/y + t^7.67/y + t^7.83/y + (2*t^8.)/y + (2*t^8.17)/y + (2*t^8.33)/y + (2*t^8.5)/y + t^8.67/y + (2*t^8.83)/y - t^4.33*y - t^6.67*y - t^7.*y - t^7.17*y + t^7.5*y + t^7.67*y + t^7.83*y + 2*t^8.*y + 2*t^8.17*y + 2*t^8.33*y + 2*t^8.5*y + t^8.67*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 2275 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_2M_6$ | 0.6806 | 0.8472 | 0.8033 | [X:[], M:[1.0, 1.1667, 0.9444, 0.8333, 0.7778, 0.8333], q:[0.7778, 0.3889], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.33 + 2*t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + 2*t^4.83 + 5*t^5. + 3*t^5.17 + 3*t^5.33 + 2*t^5.5 + 2*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 49/72, c: 61/72, M1: 1, M2: 7/6, M3: 17/18, M4: 5/6, M5: 7/9, M6: 5/6, q1: 7/9, q2: 7/18, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 2277 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_3M_6$ | 0.6611 | 0.8139 | 0.8123 | [X:[], M:[1.0, 1.1667, 0.9444, 0.8333, 0.7778, 1.0556], q:[0.7778, 0.3889], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.33 + t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.5 + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + t^4.83 + 3*t^5. + t^5.17 + t^5.33 + t^5.5 + 2*t^5.67 + t^5.83 - t^4.33/y - t^4.33*y | detail | {a: 3427/5184, c: 4219/5184, M1: 1, M2: 7/6, M3: 17/18, M4: 5/6, M5: 7/9, M6: 19/18, q1: 7/9, q2: 7/18, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 2274 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5M_6$ | 0.6485 | 0.7908 | 0.82 | [X:[], M:[1.0, 1.1667, 0.9444, 0.8333, 0.7778, 1.2222], q:[0.7778, 0.3889], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.5 + 2*t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + 2*t^5. + t^5.17 + t^5.33 + t^5.5 + 2*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 13447/20736, c: 16399/20736, M1: 1, M2: 7/6, M3: 17/18, M4: 5/6, M5: 7/9, M6: 11/9, q1: 7/9, q2: 7/18, qb1: 11/18, qb2: 4/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 748 | 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_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6696 | 0.8291 | 0.8076 | [X:[], M:[1.0, 1.1494, 0.881, 0.8506, 0.7316], q:[0.7835, 0.3658], qb:[0.6342, 0.4848], phi:[0.4329]] | t^2.19 + t^2.55 + t^2.6 + t^2.64 + t^3. + t^3.45 + t^3.49 + t^3.85 + t^4.21 + t^4.25 + t^4.3 + t^4.39 + t^4.66 + t^4.75 + t^4.79 + t^4.84 + 2*t^5.1 + t^5.15 + 2*t^5.19 + t^5.24 + t^5.29 + t^5.6 + t^5.64 + t^5.69 - t^6. - t^4.3/y - t^4.3*y | detail |