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 |
|---|---|---|---|---|---|---|---|---|---|
| 2964 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6554 | 0.8206 | 0.7987 | [X:[1.4999], M:[0.7857, 0.9287, 1.2143, 0.5001, 0.7857, 0.7857], q:[0.4286, 0.7857], qb:[0.3571, 0.7142], phi:[0.4286]] | [X:[[7]], M:[[1], [-9], [-1], [-7], [1], [1]], q:[[-2], [1]], qb:[[3], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$ | $\phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$ | -1 | 3*t^2.36 + t^2.57 + t^2.79 + 3*t^3.43 + t^3.86 + 2*t^4.5 + 7*t^4.71 + 2*t^4.93 + 3*t^5.14 + t^5.36 + 2*t^5.57 + 8*t^5.79 - t^6. + 2*t^6.21 + t^6.64 + 8*t^6.86 + 8*t^7.07 + 3*t^7.29 + 5*t^7.5 + 4*t^7.71 + 9*t^7.93 + 14*t^8.14 - 7*t^8.36 + 2*t^8.57 - 3*t^8.79 - t^4.29/y - (2*t^6.64)/y - t^6.86/y - t^7.07/y + t^7.5/y + (4*t^7.71)/y + (5*t^7.93)/y + (3*t^8.14)/y + t^8.36/y + (9*t^8.79)/y - t^4.29*y - 2*t^6.64*y - t^6.86*y - t^7.07*y + t^7.5*y + 4*t^7.71*y + 5*t^7.93*y + 3*t^8.14*y + t^8.36*y + 9*t^8.79*y | 3*g1*t^2.36 + t^2.57/g1^4 + t^2.79/g1^9 + 3*g1^4*t^3.43 + t^3.86/g1^6 + 2*g1^7*t^4.5 + 7*g1^2*t^4.71 + (2*t^4.93)/g1^3 + (3*t^5.14)/g1^8 + t^5.36/g1^13 + t^5.57/g1^18 + g1^10*t^5.57 + 8*g1^5*t^5.79 - t^6. + (2*t^6.21)/g1^5 + t^6.64/g1^15 + 8*g1^8*t^6.86 + 8*g1^3*t^7.07 + (3*t^7.29)/g1^2 + (5*t^7.5)/g1^7 + (4*t^7.71)/g1^12 + (3*t^7.93)/g1^17 + 6*g1^11*t^7.93 + t^8.14/g1^22 + 13*g1^6*t^8.14 + t^8.36/g1^27 - 8*g1*t^8.36 + (2*t^8.57)/g1^4 - (3*t^8.79)/g1^9 - t^4.29/(g1^2*y) - (2*t^6.64)/(g1*y) - t^6.86/(g1^6*y) - t^7.07/(g1^11*y) + (g1^7*t^7.5)/y + (4*g1^2*t^7.71)/y + (5*t^7.93)/(g1^3*y) + (3*t^8.14)/(g1^8*y) + t^8.36/(g1^13*y) + (9*g1^5*t^8.79)/y - (t^4.29*y)/g1^2 - (2*t^6.64*y)/g1 - (t^6.86*y)/g1^6 - (t^7.07*y)/g1^11 + g1^7*t^7.5*y + 4*g1^2*t^7.71*y + (5*t^7.93*y)/g1^3 + (3*t^8.14*y)/g1^8 + (t^8.36*y)/g1^13 + 9*g1^5*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 3558 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_2M_7$ | 0.653 | 0.8214 | 0.795 | [X:[1.4284], M:[0.7755, 1.0206, 1.2245, 0.5716, 0.7755, 0.7755, 0.9794], q:[0.449, 0.7755], qb:[0.3265, 0.6529], phi:[0.449]] | 3*t^2.33 + t^2.69 + t^2.94 + 3*t^3.31 + t^4.04 + 2*t^4.29 + 7*t^4.65 + 2*t^5.02 + 4*t^5.26 + 9*t^5.63 + t^5.88 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 3560 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7\phi_1q_1^2$ | 0.6757 | 0.8596 | 0.7861 | [X:[1.4897], M:[0.7842, 0.9419, 1.2158, 0.5103, 0.7842, 0.7842, 0.7054], q:[0.4315, 0.7842], qb:[0.3527, 0.7054], phi:[0.4315]] | t^2.12 + 3*t^2.35 + t^2.59 + t^2.83 + 3*t^3.41 + t^4.23 + 5*t^4.47 + 8*t^4.71 + 3*t^4.94 + 3*t^5.18 + t^5.41 + 4*t^5.53 + t^5.65 + 8*t^5.76 - t^6. - t^4.29/y - t^4.29*y | detail | |
| 3559 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6685 | 0.8428 | 0.7932 | [X:[1.5238], M:[0.7891, 0.898, 1.2109, 0.4762, 0.7891, 0.7891, 0.8435], q:[0.4218, 0.7891], qb:[0.3673, 0.7347], phi:[0.4218]] | 3*t^2.37 + 2*t^2.53 + t^2.69 + 2*t^3.47 + t^3.8 + 2*t^4.57 + 7*t^4.73 + 5*t^4.9 + 5*t^5.06 + 2*t^5.22 + t^5.39 + t^5.67 + 5*t^5.84 - t^4.27/y - t^4.27*y | detail | {a: 5503/8232, c: 3469/4116, X1: 32/21, M1: 116/147, M2: 44/49, M3: 178/147, M4: 10/21, M5: 116/147, M6: 116/147, M7: 124/147, q1: 62/147, q2: 116/147, qb1: 18/49, qb2: 36/49, phi1: 62/147} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1932 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ | 0.6381 | 0.7898 | 0.8079 | [X:[1.5044], M:[0.7863, 0.9229, 1.2137, 0.4956, 0.7863], q:[0.4273, 0.7863], qb:[0.359, 0.7181], phi:[0.4273]] | 2*t^2.36 + t^2.56 + t^2.77 + 3*t^3.44 + t^3.64 + t^3.85 + 2*t^4.51 + 4*t^4.72 + t^4.92 + 2*t^5.13 + t^5.33 + t^5.54 + t^5.59 + 5*t^5.8 + t^6. - t^4.28/y - t^4.28*y | detail |