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 |
|---|---|---|---|---|---|---|---|---|---|
| 6563 | 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_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_5M_7$ + $ M_4X_2$ + $ M_5M_8$ | 0.5557 | 0.6951 | 0.7994 | [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 1.0769, 0.6923, 0.9231, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 19533/35152, c: 12217/17576, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 14/13, M6: 9/13, M7: 12/13, M8: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_3$, $ M_7$, $ M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2$, $ M_6^2$, $ q_2\tilde{q}_2$, $ X_2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_7$, $ M_6M_8$, $ M_3\phi_1^2$, $ M_3^2$, $ M_7\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_7$, $ M_3M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_7M_8$, $ M_8^2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3.46 + t^3.69 + 2*t^4.15 + t^4.38 + 3*t^4.62 + 2*t^4.85 + 4*t^5.08 + t^5.31 + 3*t^5.54 + t^5.77 - 2*t^6. + 4*t^6.23 + 3*t^6.46 + 3*t^6.69 + 4*t^6.92 + 2*t^7.15 + 4*t^7.38 + 4*t^7.62 + 4*t^7.85 - t^8.08 + 3*t^8.31 - t^4.15/y - t^6.23/y - t^6.69/y - t^6.92/y + (2*t^7.38)/y + (2*t^7.62)/y + (3*t^7.85)/y + (3*t^8.08)/y + t^8.31/y + (2*t^8.54)/y + t^8.77/y - t^4.15*y - t^6.23*y - t^6.69*y - t^6.92*y + 2*t^7.38*y + 2*t^7.62*y + 3*t^7.85*y + 3*t^8.08*y + t^8.31*y + 2*t^8.54*y + t^8.77*y | t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3.46 + t^3.69 + 2*t^4.15 + t^4.38 + 3*t^4.62 + 2*t^4.85 + 4*t^5.08 + t^5.31 + 3*t^5.54 + t^5.77 - 2*t^6. + 4*t^6.23 + 3*t^6.46 + 3*t^6.69 + 4*t^6.92 + 2*t^7.15 + 4*t^7.38 + 4*t^7.62 + 4*t^7.85 - t^8.08 + 3*t^8.31 - t^4.15/y - t^6.23/y - t^6.69/y - t^6.92/y + (2*t^7.38)/y + (2*t^7.62)/y + (3*t^7.85)/y + (3*t^8.08)/y + t^8.31/y + (2*t^8.54)/y + t^8.77/y - t^4.15*y - t^6.23*y - t^6.69*y - t^6.92*y + 2*t^7.38*y + 2*t^7.62*y + 3*t^7.85*y + 3*t^8.08*y + t^8.31*y + 2*t^8.54*y + 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4982 | 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_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_5M_7$ + $ M_4X_2$ | 0.5486 | 0.6832 | 0.803 | [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 1.0769, 0.6923, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] | t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3.23 + t^3.46 + t^3.69 + 2*t^4.15 + t^4.38 + 3*t^4.62 + t^4.85 + 3*t^5.08 + t^5.31 + 2*t^5.54 + 2*t^5.77 - t^6. - t^4.15/y - t^4.15*y | detail | {a: 4821/8788, c: 1501/2197, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 14/13, M6: 9/13, M7: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13} |