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 |
|---|---|---|---|---|---|---|---|---|---|
| 5120 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_4M_7$ | 0.6233 | 0.806 | 0.7733 | [X:[], M:[0.8462, 1.0769, 1.0, 1.1538, 0.6923, 0.7692, 0.8462], q:[0.6154, 0.5385], qb:[0.2308, 0.7692], phi:[0.4615]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 21909/35152, c: 28331/35152, M1: 11/13, M2: 14/13, M3: 1, M4: 15/13, M5: 9/13, M6: 10/13, M7: 11/13, q1: 8/13, q2: 7/13, qb1: 3/13, qb2: 10/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ M_1$, $ M_7$, $ \phi_1\tilde{q}_1^2$, $ M_3$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ q_1\tilde{q}_2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_6^2$, $ M_5M_7$, $ \phi_1q_2^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1M_6$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_3M_5$, $ M_1M_7$, $ M_7^2$, $ \phi_1q_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_2M_5$, $ M_3M_6$, $ M_1\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_2M_6$, $ M_3M_7$, $ M_2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_7$ | . | -1 | t^2.08 + 2*t^2.31 + 2*t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.92 + 2*t^4.15 + 2*t^4.38 + 6*t^4.62 + 5*t^4.85 + 6*t^5.08 + 5*t^5.31 + 5*t^5.54 + t^5.77 - t^6. + 2*t^6.23 + 4*t^6.46 + 6*t^6.69 + 9*t^6.92 + 12*t^7.15 + 12*t^7.38 + 12*t^7.62 + 11*t^7.85 + 5*t^8.08 - 2*t^8.54 + 3*t^8.77 - t^4.38/y - t^6.46/y - t^6.69/y - t^6.92/y + (2*t^7.38)/y + (3*t^7.62)/y + (6*t^7.85)/y + (5*t^8.08)/y + (6*t^8.31)/y + (3*t^8.54)/y + (2*t^8.77)/y - t^4.38*y - t^6.46*y - t^6.69*y - t^6.92*y + 2*t^7.38*y + 3*t^7.62*y + 6*t^7.85*y + 5*t^8.08*y + 6*t^8.31*y + 3*t^8.54*y + 2*t^8.77*y | t^2.08 + 2*t^2.31 + 2*t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.92 + 2*t^4.15 + 2*t^4.38 + 6*t^4.62 + 5*t^4.85 + 6*t^5.08 + 5*t^5.31 + 5*t^5.54 + t^5.77 - t^6. + 2*t^6.23 + 4*t^6.46 + 6*t^6.69 + 9*t^6.92 + 12*t^7.15 + 12*t^7.38 + 12*t^7.62 + 11*t^7.85 + 5*t^8.08 - 2*t^8.54 + 3*t^8.77 - t^4.38/y - t^6.46/y - t^6.69/y - t^6.92/y + (2*t^7.38)/y + (3*t^7.62)/y + (6*t^7.85)/y + (5*t^8.08)/y + (6*t^8.31)/y + (3*t^8.54)/y + (2*t^8.77)/y - t^4.38*y - t^6.46*y - t^6.69*y - t^6.92*y + 2*t^7.38*y + 3*t^7.62*y + 6*t^7.85*y + 5*t^8.08*y + 6*t^8.31*y + 3*t^8.54*y + 2*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 6695 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_4M_7$ + $ M_5M_8$ | 0.6026 | 0.7661 | 0.7866 | [X:[], M:[0.8462, 1.0769, 1.0, 1.1538, 0.6923, 0.7692, 0.8462, 1.3077], q:[0.6154, 0.5385], qb:[0.2308, 0.7692], phi:[0.4615]] | 2*t^2.31 + 2*t^2.54 + t^2.77 + t^3. + t^3.23 + 2*t^3.92 + t^4.15 + 4*t^4.62 + 4*t^4.85 + 5*t^5.08 + 4*t^5.31 + 5*t^5.54 + t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 21183/35152, c: 26929/35152, M1: 11/13, M2: 14/13, M3: 1, M4: 15/13, M5: 9/13, M6: 10/13, M7: 11/13, M8: 17/13, q1: 8/13, q2: 7/13, qb1: 3/13, qb2: 10/13, phi1: 6/13} |
| 6696 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_4M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6162 | 0.7941 | 0.776 | [X:[], M:[0.8462, 1.0769, 1.0, 1.1538, 0.6923, 0.7692, 0.8462, 1.0769], q:[0.6154, 0.5385], qb:[0.2308, 0.7692], phi:[0.4615]] | t^2.08 + 2*t^2.31 + 2*t^2.54 + t^3. + 2*t^3.23 + t^3.92 + 2*t^4.15 + 2*t^4.38 + 6*t^4.62 + 4*t^4.85 + 4*t^5.08 + 4*t^5.31 + 6*t^5.54 + 2*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 5415/8788, c: 27913/35152, M1: 11/13, M2: 14/13, M3: 1, M4: 15/13, M5: 9/13, M6: 10/13, M7: 11/13, M8: 14/13, q1: 8/13, q2: 7/13, qb1: 3/13, qb2: 10/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3451 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6099 | 0.7829 | 0.7789 | [X:[], M:[0.8462, 1.0769, 1.0, 1.1538, 0.6923, 0.7692], q:[0.6154, 0.5385], qb:[0.2308, 0.7692], phi:[0.4615]] | t^2.08 + 2*t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.92 + 2*t^4.15 + 2*t^4.38 + 5*t^4.62 + 3*t^4.85 + 4*t^5.08 + 4*t^5.31 + 5*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 10719/17576, c: 13761/17576, M1: 11/13, M2: 14/13, M3: 1, M4: 15/13, M5: 9/13, M6: 10/13, q1: 8/13, q2: 7/13, qb1: 3/13, qb2: 10/13, phi1: 6/13} |