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 |
|---|---|---|---|---|---|---|---|---|---|
| 2920 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ | 0.5547 | 0.7202 | 0.7703 | [X:[], M:[1.0588, 0.8235, 0.9412, 1.1765, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2565/4624, c: 1665/2312, M1: 18/17, M2: 14/17, M3: 16/17, M4: 20/17, M5: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, phi1: 8/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1^2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5\phi_1q_2^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1^2q_2^4$, $ \phi_1q_2^3\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_4M_5$, $ M_3\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ \phi_1^2q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | 1 | 2*t^2.12 + 2*t^2.47 + 2*t^2.82 + 2*t^3.53 + t^3.88 + 4*t^4.24 + 4*t^4.59 + 7*t^4.94 + 5*t^5.29 + 4*t^5.65 + t^6. + 7*t^6.35 + 6*t^6.71 + 11*t^7.06 + 9*t^7.41 + 11*t^7.76 + 4*t^8.12 + 5*t^8.47 + 3*t^8.82 - t^4.41/y - t^6.53/y + (5*t^7.59)/y + (5*t^7.94)/y + (5*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - t^6.53*y + 5*t^7.59*y + 5*t^7.94*y + 5*t^8.29*y + 4*t^8.65*y | 2*t^2.12 + 2*t^2.47 + 2*t^2.82 + 2*t^3.53 + t^3.88 + 4*t^4.24 + 4*t^4.59 + 7*t^4.94 + 5*t^5.29 + 4*t^5.65 + t^6. + 7*t^6.35 + 6*t^6.71 + 11*t^7.06 + 9*t^7.41 + 11*t^7.76 + 4*t^8.12 + 5*t^8.47 + 3*t^8.82 - t^4.41/y - t^6.53/y + (5*t^7.59)/y + (5*t^7.94)/y + (5*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - t^6.53*y + 5*t^7.59*y + 5*t^7.94*y + 5*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 |
|---|---|---|---|---|---|---|---|---|
| 3507 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.5751 | 0.759 | 0.7578 | [X:[], M:[1.0588, 0.8235, 0.9412, 1.1765, 0.7059, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]] | 3*t^2.12 + 2*t^2.47 + 2*t^2.82 + 2*t^3.53 + 7*t^4.24 + 6*t^4.59 + 9*t^4.94 + 5*t^5.29 + 6*t^5.65 - t^6. - t^4.41/y - t^4.41*y | detail | {a: 22605/39304, c: 14915/19652, M1: 18/17, M2: 14/17, M3: 16/17, M4: 20/17, M5: 12/17, M6: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1896 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6103 | 0.7849 | 0.7775 | [X:[], M:[0.9748, 1.0757, 1.0252, 0.9243, 0.7689], q:[0.7437, 0.2816], qb:[0.4369, 0.4874], phi:[0.5126]] | t^2.16 + 2*t^2.31 + t^2.77 + 2*t^3.08 + t^3.23 + t^3.54 + t^3.69 + t^3.84 + t^4.16 + 2*t^4.31 + 3*t^4.46 + 3*t^4.61 + t^4.93 + 2*t^5.08 + 2*t^5.23 + 4*t^5.38 + t^5.53 + t^5.55 + t^5.7 + 3*t^5.85 - t^4.54/y - t^4.54*y | detail |