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 |
|---|---|---|---|---|---|---|---|---|---|
| 2044 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.5643 | 0.737 | 0.7656 | [X:[], M:[1.0588, 0.8235, 1.1765, 0.8235, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 44355/78608, c: 28969/39304, M1: 18/17, M2: 14/17, M3: 20/17, M4: 14/17, M5: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ M_5\phi_1q_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_5\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ \phi_1^3q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$ | $M_3\phi_1q_2^2$, $ q_1q_2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$ | 1 | 2*t^2.12 + 3*t^2.47 + t^2.82 + t^3.18 + t^3.53 + t^3.88 + 4*t^4.24 + 6*t^4.59 + 8*t^4.94 + 6*t^5.29 + 3*t^5.65 + t^6. + 6*t^6.35 + 10*t^6.71 + 12*t^7.06 + 16*t^7.41 + 10*t^7.76 + 3*t^8.12 + 2*t^8.47 + 7*t^8.82 - t^4.41/y - t^6.53/y - t^6.88/y + t^7.24/y + (6*t^7.59)/y + (6*t^7.94)/y + (6*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - t^6.53*y - t^6.88*y + t^7.24*y + 6*t^7.59*y + 6*t^7.94*y + 6*t^8.29*y + 4*t^8.65*y | 2*t^2.12 + 3*t^2.47 + t^2.82 + t^3.18 + t^3.53 + t^3.88 + 4*t^4.24 + 6*t^4.59 + 8*t^4.94 + 6*t^5.29 + 3*t^5.65 + t^6. + 6*t^6.35 + 10*t^6.71 + 12*t^7.06 + 16*t^7.41 + 10*t^7.76 + 3*t^8.12 + 2*t^8.47 + 7*t^8.82 - t^4.41/y - t^6.53/y - t^6.88/y + t^7.24/y + (6*t^7.59)/y + (6*t^7.94)/y + (6*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - t^6.53*y - t^6.88*y + t^7.24*y + 6*t^7.59*y + 6*t^7.94*y + 6*t^8.29*y + 4*t^8.65*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 |
|---|---|---|---|---|---|---|---|---|
| 3118 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_3M_6$ | 0.5793 | 0.7631 | 0.7591 | [X:[], M:[1.0588, 0.8235, 1.1765, 0.8235, 0.7059, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 2*t^2.12 + 4*t^2.47 + t^2.82 + t^3.18 + t^3.88 + 4*t^4.24 + 8*t^4.59 + 12*t^4.94 + 7*t^5.29 + 2*t^5.65 - 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 22767/39304, c: 3749/4913, M1: 18/17, M2: 14/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
| 3119 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.5847 | 0.7758 | 0.7536 | [X:[], M:[1.0588, 0.8235, 1.1765, 0.8235, 0.7059, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 3*t^2.12 + 3*t^2.47 + t^2.82 + t^3.18 + t^3.53 + 7*t^4.24 + 9*t^4.59 + 9*t^4.94 + 7*t^5.29 + 4*t^5.65 - t^6. - t^4.41/y - t^4.41*y | detail | {a: 5745/9826, c: 15247/19652, M1: 18/17, M2: 14/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 870 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.567 | 0.7423 | 0.7639 | [X:[], M:[1.0488, 0.8535, 1.1465, 0.8535, 0.6709], q:[0.7622, 0.189], qb:[0.4819, 0.6646], phi:[0.4756]] | 2*t^2.01 + 3*t^2.56 + t^2.85 + t^3.15 + t^3.44 + t^3.73 + 3*t^4.03 + t^4.28 + t^4.32 + 5*t^4.57 + 3*t^4.87 + 5*t^5.12 + 2*t^5.16 + 4*t^5.41 + t^5.45 + 2*t^5.71 + 2*t^5.75 - t^6. - t^4.43/y - t^4.43*y | detail |