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 |
|---|---|---|---|---|---|---|---|---|---|
| 3784 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7067 | 0.9038 | 0.7819 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 0.7692, 0.6923], q:[0.4615, 0.5385], qb:[0.3846, 0.7692], phi:[0.4615]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 147/208, c: 47/52, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 10/13, M6: 9/13, q1: 6/13, q2: 7/13, qb1: 5/13, qb2: 10/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ M_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_2M_4$, $ M_5^2$, $ M_2M_6$, $ \phi_1q_2^2$, $ M_2M_5$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_4$, $ M_1M_6$, $ M_5\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$ | . | 0 | 2*t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + 5*t^4.15 + 3*t^4.38 + 4*t^4.62 + 5*t^4.85 + 5*t^5.08 + 3*t^5.31 + 5*t^5.54 + 3*t^5.77 + 8*t^6.23 + 7*t^6.46 + 8*t^6.69 + 12*t^6.92 + 11*t^7.15 + 8*t^7.38 + 11*t^7.62 + 8*t^7.85 + 2*t^8.08 + 13*t^8.31 + 8*t^8.54 + 11*t^8.77 - t^4.38/y - (2*t^6.46)/y - t^6.69/y + (2*t^7.38)/y + (3*t^7.62)/y + (5*t^7.85)/y + (5*t^8.08)/y + (5*t^8.31)/y + t^8.54/y + (3*t^8.77)/y - t^4.38*y - 2*t^6.46*y - t^6.69*y + 2*t^7.38*y + 3*t^7.62*y + 5*t^7.85*y + 5*t^8.08*y + 5*t^8.31*y + t^8.54*y + 3*t^8.77*y | 2*t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + 5*t^4.15 + 3*t^4.38 + 4*t^4.62 + 5*t^4.85 + 5*t^5.08 + 3*t^5.31 + 5*t^5.54 + 3*t^5.77 + 8*t^6.23 + 7*t^6.46 + 8*t^6.69 + 12*t^6.92 + 11*t^7.15 + 8*t^7.38 + 11*t^7.62 + 8*t^7.85 + 2*t^8.08 + 13*t^8.31 + 8*t^8.54 + 11*t^8.77 - t^4.38/y - (2*t^6.46)/y - t^6.69/y + (2*t^7.38)/y + (3*t^7.62)/y + (5*t^7.85)/y + (5*t^8.08)/y + (5*t^8.31)/y + t^8.54/y + (3*t^8.77)/y - t^4.38*y - 2*t^6.46*y - t^6.69*y + 2*t^7.38*y + 3*t^7.62*y + 5*t^7.85*y + 5*t^8.08*y + 5*t^8.31*y + t^8.54*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 5381 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.7249 | 0.9364 | 0.7741 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 0.7692, 0.6923, 0.7692], q:[0.4615, 0.5385], qb:[0.3846, 0.7692], phi:[0.4615]] | 2*t^2.08 + 2*t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + 5*t^4.15 + 5*t^4.38 + 6*t^4.62 + 6*t^4.85 + 7*t^5.08 + 4*t^5.31 + 5*t^5.54 + 2*t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 12741/17576, c: 16459/17576, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 10/13, M6: 9/13, M7: 10/13, q1: 6/13, q2: 7/13, qb1: 5/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3338 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.7071 | 0.9046 | 0.7817 | [X:[], M:[1.0, 0.8398, 1.1602, 0.6797, 0.7598, 0.7002], q:[0.4497, 0.5503], qb:[0.3901, 0.77], phi:[0.46]] | t^2.04 + t^2.1 + t^2.28 + t^2.52 + t^2.76 + t^2.82 + t^3. + t^3.48 + t^3.66 + 2*t^4.08 + t^4.14 + 2*t^4.2 + t^4.32 + 2*t^4.38 + 2*t^4.56 + t^4.62 + t^4.68 + 2*t^4.8 + 2*t^4.86 + t^4.92 + 3*t^5.04 + 2*t^5.1 + 2*t^5.28 + t^5.34 + 2*t^5.52 + 2*t^5.58 + t^5.64 + 3*t^5.76 + t^5.94 - t^6. - t^4.38/y - t^4.38*y | detail |