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 |
|---|---|---|---|---|---|---|---|---|---|
| 47004 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ | 0.6611 | 0.8139 | 0.8123 | [X:[], M:[0.8333, 1.0, 1.1667, 0.7778], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3427/5184, c: 4219/5184, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ M_1M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | . | 0 | 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 + 2*t^6.17 + 3*t^6.33 + 2*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 + t^7.83 + 4*t^8. + 3*t^8.17 + t^8.33 + t^8.5 + 2*t^8.67 + 3*t^8.83 - t^4.33/y - t^6.67/y - t^7./y + t^7.67/y + t^7.83/y + (2*t^8.)/y + t^8.17/y + t^8.33/y + (2*t^8.5)/y + (2*t^8.67)/y + (2*t^8.83)/y - t^4.33*y - t^6.67*y - t^7.*y + t^7.67*y + t^7.83*y + 2*t^8.*y + t^8.17*y + t^8.33*y + 2*t^8.5*y + 2*t^8.67*y + 2*t^8.83*y | 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 + 2*t^6.17 + 3*t^6.33 + 2*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 + t^7.83 + 4*t^8. + 3*t^8.17 + t^8.33 + t^8.5 + 2*t^8.67 + 3*t^8.83 - t^4.33/y - t^6.67/y - t^7./y + t^7.67/y + t^7.83/y + (2*t^8.)/y + t^8.17/y + t^8.33/y + (2*t^8.5)/y + (2*t^8.67)/y + (2*t^8.83)/y - t^4.33*y - t^6.67*y - t^7.*y + t^7.67*y + t^7.83*y + 2*t^8.*y + t^8.17*y + t^8.33*y + 2*t^8.5*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 54757 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ + $ M_3M_5$ | 0.6754 | 0.8386 | 0.8054 | [X:[], M:[0.8333, 1.0, 1.1667, 0.7778, 0.8333], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.33 + 2*t^2.5 + t^2.67 + t^3. + t^3.17 + 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. + 2*t^5.17 + t^5.33 + 2*t^5.5 + 3*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 14005/20736, c: 17389/20736, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 5/6, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55424 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ + $ M_4M_5$ | 0.6433 | 0.7822 | 0.8224 | [X:[], M:[0.8333, 1.0, 1.1667, 0.7778, 1.2222], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.5 + t^2.67 + t^3. + t^3.17 + 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 + 2*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 3335/5184, c: 4055/5184, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 11/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55346 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1q_1\tilde{q}_2$ | 0.6811 | 0.8512 | 0.8001 | [X:[], M:[0.8333, 1.0, 1.1667, 0.7778, 0.7222], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.17 + t^2.33 + t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.5 + t^3.67 + t^4. + t^4.17 + 2*t^4.33 + 2*t^4.5 + 2*t^4.67 + 2*t^4.83 + 3*t^5. + 2*t^5.17 + 2*t^5.33 + t^5.5 + 3*t^5.67 + 2*t^5.83 - t^4.33/y - t^4.33*y | detail | {a: 14123/20736, c: 17651/20736, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 13/18, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55337 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1q_1^2$ | 0.6788 | 0.8455 | 0.8029 | [X:[], M:[0.8333, 1.0, 1.1667, 0.7778, 0.7778], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | 2*t^2.33 + t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.5 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + 3*t^4.67 + 2*t^4.83 + 4*t^5. + t^5.17 + 2*t^5.33 + 2*t^5.5 + 2*t^5.67 + 2*t^5.83 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 391/576, c: 487/576, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 7/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55259 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1^2$ | 0.651 | 0.7969 | 0.817 | [X:[], M:[0.8333, 1.0, 1.1667, 0.7778, 1.1111], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.33 + t^2.5 + t^3. + t^3.17 + t^3.33 + 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 + 2*t^5. + t^5.5 + 2*t^5.67 + t^5.83 - t^4.33/y - t^4.33*y | detail | {a: 125/192, c: 51/64, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 10/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55173 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6662 | 0.8225 | 0.81 | [X:[], M:[0.8333, 1.0, 1.1667, 0.7778, 0.9444], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | 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^4.33/y - t^4.33*y | detail | {a: 1535/2304, c: 1895/2304, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 17/18, q1: 7/18, q2: 7/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46570 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ | 0.6611 | 0.8138 | 0.8124 | [X:[], M:[0.8357, 1.0, 1.1643, 0.7714], q:[0.3857, 0.7786], qb:[0.6143, 0.4501], phi:[0.4428]] | t^2.31 + t^2.51 + t^2.66 + t^3. + t^3.19 + t^3.49 + t^3.64 + t^3.84 + t^4.03 + t^4.18 + t^4.33 + t^4.52 + t^4.63 + t^4.82 + t^4.97 + 2*t^5.01 + t^5.16 + t^5.31 + t^5.51 + t^5.66 + t^5.7 + t^5.85 + t^5.96 - t^6. - t^4.33/y - t^4.33*y | detail |