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 |
|---|---|---|---|---|---|---|---|---|---|
| 55490 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6491 | 0.853 | 0.761 | [X:[], M:[1.0, 0.9038, 0.6899, 1.0481, 0.738, 0.738], q:[0.762, 0.238], qb:[0.5481, 0.5481], phi:[0.476]] | [X:[], M:[[0], [-8], [-5], [4], [-1], [-1]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_3M_6$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_3$, $ M_2M_5$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_3M_4$, $ M_1M_5$, $ M_1M_6$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_5$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ M_2M_4$, $ M_1\phi_1^2$ | $M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$ | -3 | t^2.07 + 2*t^2.21 + 2*t^2.36 + t^2.71 + t^2.86 + t^3. + t^3.14 + t^3.93 + t^4.14 + 2*t^4.28 + 5*t^4.43 + 4*t^4.57 + 6*t^4.72 + t^4.78 + 3*t^4.93 + 3*t^5.07 + 5*t^5.21 + 4*t^5.36 + t^5.42 + 2*t^5.5 + t^5.57 + 2*t^5.71 + t^5.86 - 3*t^6. + 2*t^6.14 + t^6.21 + 2*t^6.29 + 2*t^6.35 + 3*t^6.5 + 7*t^6.64 + 9*t^6.79 + t^6.85 + 9*t^6.93 + 3*t^7. + 9*t^7.07 + 6*t^7.14 + 8*t^7.28 + 9*t^7.43 + t^7.49 + 10*t^7.57 + 3*t^7.64 + 6*t^7.72 + 4*t^7.78 + 4*t^7.86 + 5*t^7.93 + t^8.07 + t^8.13 - 6*t^8.21 + 2*t^8.28 - 5*t^8.36 + 4*t^8.42 + 5*t^8.57 + 4*t^8.65 + 2*t^8.71 + 7*t^8.86 + t^8.92 - t^4.43/y - t^6.5/y - (2*t^6.64)/y - t^7.14/y + (2*t^7.28)/y + (3*t^7.43)/y + (4*t^7.57)/y + (2*t^7.72)/y + t^7.78/y + (3*t^7.93)/y + (5*t^8.07)/y + (7*t^8.21)/y + (5*t^8.36)/y + (2*t^8.5)/y - t^8.71/y - t^8.86/y - t^4.43*y - t^6.5*y - 2*t^6.64*y - t^7.14*y + 2*t^7.28*y + 3*t^7.43*y + 4*t^7.57*y + 2*t^7.72*y + t^7.78*y + 3*t^7.93*y + 5*t^8.07*y + 7*t^8.21*y + 5*t^8.36*y + 2*t^8.5*y - t^8.71*y - t^8.86*y | t^2.07/g1^5 + (2*t^2.21)/g1 + 2*g1^3*t^2.36 + t^2.71/g1^8 + t^2.86/g1^4 + t^3. + g1^4*t^3.14 + g1^5*t^3.93 + t^4.14/g1^10 + (2*t^4.28)/g1^6 + (5*t^4.43)/g1^2 + 4*g1^2*t^4.57 + 6*g1^6*t^4.72 + t^4.78/g1^13 + (3*t^4.93)/g1^9 + (3*t^5.07)/g1^5 + (5*t^5.21)/g1 + 4*g1^3*t^5.36 + t^5.42/g1^16 + 2*g1^7*t^5.5 + t^5.57/g1^12 + (2*t^5.71)/g1^8 + t^5.86/g1^4 - 3*t^6. + 2*g1^4*t^6.14 + t^6.21/g1^15 + 2*g1^8*t^6.29 + (2*t^6.35)/g1^11 + (3*t^6.5)/g1^7 + (7*t^6.64)/g1^3 + 9*g1*t^6.79 + t^6.85/g1^18 + 9*g1^5*t^6.93 + (3*t^7.)/g1^14 + 9*g1^9*t^7.07 + (6*t^7.14)/g1^10 + (8*t^7.28)/g1^6 + (9*t^7.43)/g1^2 + t^7.49/g1^21 + 10*g1^2*t^7.57 + (3*t^7.64)/g1^17 + 6*g1^6*t^7.72 + (4*t^7.78)/g1^13 + 4*g1^10*t^7.86 + (5*t^7.93)/g1^9 + t^8.07/g1^5 + t^8.13/g1^24 - (6*t^8.21)/g1 + (2*t^8.28)/g1^20 - 5*g1^3*t^8.36 + (4*t^8.42)/g1^16 + (5*t^8.57)/g1^12 + 4*g1^11*t^8.65 + (2*t^8.71)/g1^8 + (7*t^8.86)/g1^4 + t^8.92/g1^23 - t^4.43/(g1^2*y) - t^6.5/(g1^7*y) - (2*t^6.64)/(g1^3*y) - t^7.14/(g1^10*y) + (2*t^7.28)/(g1^6*y) + (3*t^7.43)/(g1^2*y) + (4*g1^2*t^7.57)/y + (2*g1^6*t^7.72)/y + t^7.78/(g1^13*y) + (3*t^7.93)/(g1^9*y) + (5*t^8.07)/(g1^5*y) + (7*t^8.21)/(g1*y) + (5*g1^3*t^8.36)/y + (2*g1^7*t^8.5)/y - t^8.71/(g1^8*y) - t^8.86/(g1^4*y) - (t^4.43*y)/g1^2 - (t^6.5*y)/g1^7 - (2*t^6.64*y)/g1^3 - (t^7.14*y)/g1^10 + (2*t^7.28*y)/g1^6 + (3*t^7.43*y)/g1^2 + 4*g1^2*t^7.57*y + 2*g1^6*t^7.72*y + (t^7.78*y)/g1^13 + (3*t^7.93*y)/g1^9 + (5*t^8.07*y)/g1^5 + (7*t^8.21*y)/g1 + 5*g1^3*t^8.36*y + 2*g1^7*t^8.5*y - (t^8.71*y)/g1^8 - (t^8.86*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57085 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_3$ | 0.6101 | 0.812 | 0.7513 | [X:[], M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692, 0.7692], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | 2*t^2.08 + 2*t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + 2*t^3.46 + 6*t^4.15 + 4*t^4.38 + 5*t^4.62 + 4*t^4.85 + 5*t^5.08 + 5*t^5.31 + 5*t^5.54 + 5*t^5.77 - 2*t^6. - t^4.62/y - t^4.62*y | detail | {a: 21447/35152, c: 28545/35152, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, M6: 10/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
| 57090 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ | 0.6434 | 0.8452 | 0.7613 | [X:[], M:[1.0, 0.9755, 0.7347, 1.0122, 0.7469, 0.7469, 1.0245], q:[0.7531, 0.2469], qb:[0.5122, 0.5122], phi:[0.4939]] | t^2.2 + 2*t^2.24 + 2*t^2.28 + t^2.96 + t^3. + t^3.04 + t^3.07 + t^3.8 + t^4.41 + 2*t^4.44 + 5*t^4.48 + 4*t^4.52 + 6*t^4.56 + t^5.17 + t^5.2 + 5*t^5.24 + 5*t^5.28 + 4*t^5.31 + 2*t^5.35 + t^5.93 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
| 57091 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_4M_7$ | 0.6543 | 0.8625 | 0.7586 | [X:[], M:[1.0, 0.8707, 0.6692, 1.0647, 0.7338, 0.7338, 0.9353], q:[0.7662, 0.2338], qb:[0.5647, 0.5647], phi:[0.4677]] | t^2.01 + 2*t^2.2 + 2*t^2.4 + t^2.61 + 2*t^2.81 + t^3. + t^3.99 + t^4.01 + 2*t^4.21 + 5*t^4.4 + 4*t^4.6 + t^4.62 + 6*t^4.79 + 4*t^4.81 + 5*t^5.01 + 6*t^5.2 + t^5.22 + 2*t^5.4 + 2*t^5.42 + 4*t^5.61 + t^5.81 - 4*t^6. - t^4.4/y - t^4.4*y | detail | |
| 57089 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_3X_1$ | 0.6057 | 0.7843 | 0.7723 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 0.7143, 0.7143], q:[0.7857, 0.2143], qb:[0.6429, 0.6429], phi:[0.4286]] | 3*t^2.14 + 3*t^2.57 + t^3. + t^3.43 + 8*t^4.29 + 7*t^4.71 + 12*t^5.14 + 5*t^5.57 - 4*t^6. - t^4.29/y - t^4.29*y | detail | {a: 831/1372, c: 269/343, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 5/7, M6: 5/7, q1: 11/14, q2: 3/14, qb1: 9/14, qb2: 9/14, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47144 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6296 | 0.8171 | 0.7705 | [X:[], M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | t^2.08 + t^2.22 + 2*t^2.35 + t^2.72 + t^2.86 + t^3. + t^3.14 + t^3.78 + t^3.92 + t^4.15 + t^4.29 + 3*t^4.43 + 2*t^4.57 + 6*t^4.71 + t^4.8 + 2*t^4.94 + 2*t^5.08 + 4*t^5.22 + 3*t^5.35 + t^5.44 + 2*t^5.49 + t^5.58 + 2*t^5.72 + 2*t^5.86 - 2*t^6. - t^4.43/y - t^4.43*y | detail |