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 |
|---|---|---|---|---|---|---|---|---|---|
| 1104 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_3M_4$ | 0.6608 | 0.8195 | 0.8064 | [X:[], M:[1.0, 1.0769, 1.1538, 0.8462, 0.6923], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 23229/35152, c: 14403/17576, M1: 1, M2: 14/13, M3: 15/13, M4: 11/13, M5: 9/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_5\phi_1^2$, $ M_4^2$, $ M_1M_5$, $ M_2M_5$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_5\phi_1\tilde{q}_2^2$ | $M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 1 | t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 2*t^5.54 + 2*t^5.77 + t^6. + 4*t^6.23 + 3*t^6.46 + 5*t^6.69 + 4*t^6.92 + 4*t^7.15 + 5*t^7.38 + 4*t^7.62 + 5*t^7.85 + 3*t^8.08 + 6*t^8.31 + 2*t^8.54 + 5*t^8.77 - t^4.38/y - t^6.46/y + t^7.62/y + t^7.85/y + t^8.08/y + (3*t^8.31)/y + t^8.54/y + (4*t^8.77)/y - t^4.38*y - t^6.46*y + t^7.62*y + t^7.85*y + t^8.08*y + 3*t^8.31*y + t^8.54*y + 4*t^8.77*y | t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 2*t^5.54 + 2*t^5.77 + t^6. + 4*t^6.23 + 3*t^6.46 + 5*t^6.69 + 4*t^6.92 + 4*t^7.15 + 5*t^7.38 + 4*t^7.62 + 5*t^7.85 + 3*t^8.08 + 6*t^8.31 + 2*t^8.54 + 5*t^8.77 - t^4.38/y - t^6.46/y + t^7.62/y + t^7.85/y + t^8.08/y + (3*t^8.31)/y + t^8.54/y + (4*t^8.77)/y - t^4.38*y - t^6.46*y + t^7.62*y + t^7.85*y + t^8.08*y + 3*t^8.31*y + t^8.54*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 2142 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_3M_4$ + $ M_3M_6$ | 0.6742 | 0.8425 | 0.8003 | [X:[], M:[1.0, 1.0769, 1.1538, 0.8462, 0.6923, 0.8462], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | t^2.08 + 2*t^2.54 + t^2.77 + t^3. + t^3.23 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 3*t^4.62 + t^4.85 + 4*t^5.08 + 3*t^5.31 + 2*t^5.54 + 3*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 5925/8788, c: 29615/35152, M1: 1, M2: 14/13, M3: 15/13, M4: 11/13, M5: 9/13, M6: 11/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 687 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.6846 | 0.8444 | 0.8107 | [X:[], M:[1.0, 1.114, 0.9869, 0.772, 0.785], q:[0.7785, 0.4365], qb:[0.5635, 0.4495], phi:[0.443]] | t^2.32 + t^2.36 + t^2.66 + t^2.96 + t^3. + t^3.34 + t^3.95 + t^3.99 + 2*t^4.03 + t^4.33 + t^4.37 + t^4.63 + t^4.67 + 2*t^4.71 + t^4.97 + t^5.01 + t^5.28 + 3*t^5.32 + t^5.36 + t^5.66 + t^5.7 + t^5.92 - t^6. - t^4.33/y - t^4.33*y | detail |