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 |
|---|---|---|---|---|---|---|---|---|---|
| 55472 | 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_6q_1\tilde{q}_2$ | 0.6503 | 0.8573 | 0.7586 | [X:[], M:[1.0, 0.9016, 0.6885, 1.0492, 0.7377, 0.6885], q:[0.7623, 0.2377], qb:[0.5492, 0.5492], phi:[0.4754]] | [X:[], M:[[0], [-8], [-5], [4], [-1], [-5]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3M_5$, $ M_5M_6$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_5q_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_6$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_1M_6$, $ M_5\phi_1^2$, $ M_3M_4$, $ M_1M_5$, $ M_4M_6$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_5$, $ \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_3\phi_1q_2\tilde{q}_2$, $ M_6\phi_1q_2\tilde{q}_2$ | $M_4\phi_1^2$ | -3 | 2*t^2.07 + t^2.21 + 2*t^2.36 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.79 + 3*t^4.13 + 2*t^4.28 + 5*t^4.43 + 2*t^4.57 + 6*t^4.72 + 2*t^4.77 + 3*t^4.92 + 3*t^5.07 + 5*t^5.21 + 3*t^5.36 + t^5.41 + 2*t^5.51 + t^5.56 + 2*t^5.7 + 3*t^5.85 - 3*t^6. + 2*t^6.15 + 4*t^6.2 + 3*t^6.34 + 7*t^6.49 + 4*t^6.64 + 11*t^6.79 + 3*t^6.84 + 3*t^6.93 + 5*t^6.98 + 8*t^7.08 + 6*t^7.13 + 10*t^7.28 + 7*t^7.43 + 2*t^7.48 + 9*t^7.57 + 3*t^7.62 + 4*t^7.72 + 5*t^7.77 + 3*t^7.87 + 7*t^7.92 - 3*t^8.07 + t^8.11 + t^8.21 + 6*t^8.26 - 8*t^8.36 + 6*t^8.41 + 2*t^8.51 + 11*t^8.56 - 2*t^8.66 + 4*t^8.7 + 11*t^8.85 + 4*t^8.9 - t^4.43/y - (2*t^6.49)/y - t^6.64/y + (2*t^7.28)/y + (4*t^7.43)/y + (2*t^7.57)/y + (2*t^7.72)/y + (2*t^7.77)/y + (3*t^7.92)/y + (5*t^8.07)/y + (6*t^8.21)/y + (5*t^8.36)/y + (2*t^8.51)/y - (2*t^8.56)/y - t^8.7/y + (3*t^8.85)/y - t^4.43*y - 2*t^6.49*y - t^6.64*y + 2*t^7.28*y + 4*t^7.43*y + 2*t^7.57*y + 2*t^7.72*y + 2*t^7.77*y + 3*t^7.92*y + 5*t^8.07*y + 6*t^8.21*y + 5*t^8.36*y + 2*t^8.51*y - 2*t^8.56*y - t^8.7*y + 3*t^8.85*y | (2*t^2.07)/g1^5 + t^2.21/g1 + 2*g1^3*t^2.36 + t^2.7/g1^8 + t^2.85/g1^4 + t^3. + g1^4*t^3.15 + g1*t^3.79 + (3*t^4.13)/g1^10 + (2*t^4.28)/g1^6 + (5*t^4.43)/g1^2 + 2*g1^2*t^4.57 + 6*g1^6*t^4.72 + (2*t^4.77)/g1^13 + (3*t^4.92)/g1^9 + (3*t^5.07)/g1^5 + (5*t^5.21)/g1 + 3*g1^3*t^5.36 + t^5.41/g1^16 + 2*g1^7*t^5.51 + t^5.56/g1^12 + (2*t^5.7)/g1^8 + (3*t^5.85)/g1^4 - 3*t^6. + 2*g1^4*t^6.15 + (4*t^6.2)/g1^15 + (3*t^6.34)/g1^11 + (7*t^6.49)/g1^7 + (4*t^6.64)/g1^3 + 11*g1*t^6.79 + (3*t^6.84)/g1^18 + 3*g1^5*t^6.93 + (5*t^6.98)/g1^14 + 8*g1^9*t^7.08 + (6*t^7.13)/g1^10 + (10*t^7.28)/g1^6 + (7*t^7.43)/g1^2 + (2*t^7.48)/g1^21 + 9*g1^2*t^7.57 + (3*t^7.62)/g1^17 + 4*g1^6*t^7.72 + (5*t^7.77)/g1^13 + 3*g1^10*t^7.87 + (7*t^7.92)/g1^9 - (3*t^8.07)/g1^5 + t^8.11/g1^24 + t^8.21/g1 + (6*t^8.26)/g1^20 - 8*g1^3*t^8.36 + (6*t^8.41)/g1^16 + 2*g1^7*t^8.51 + (11*t^8.56)/g1^12 - 2*g1^11*t^8.66 + (4*t^8.7)/g1^8 + (11*t^8.85)/g1^4 + (4*t^8.9)/g1^23 - t^4.43/(g1^2*y) - (2*t^6.49)/(g1^7*y) - t^6.64/(g1^3*y) + (2*t^7.28)/(g1^6*y) + (4*t^7.43)/(g1^2*y) + (2*g1^2*t^7.57)/y + (2*g1^6*t^7.72)/y + (2*t^7.77)/(g1^13*y) + (3*t^7.92)/(g1^9*y) + (5*t^8.07)/(g1^5*y) + (6*t^8.21)/(g1*y) + (5*g1^3*t^8.36)/y + (2*g1^7*t^8.51)/y - (2*t^8.56)/(g1^12*y) - t^8.7/(g1^8*y) + (3*t^8.85)/(g1^4*y) - (t^4.43*y)/g1^2 - (2*t^6.49*y)/g1^7 - (t^6.64*y)/g1^3 + (2*t^7.28*y)/g1^6 + (4*t^7.43*y)/g1^2 + 2*g1^2*t^7.57*y + 2*g1^6*t^7.72*y + (2*t^7.77*y)/g1^13 + (3*t^7.92*y)/g1^9 + (5*t^8.07*y)/g1^5 + (6*t^8.21*y)/g1 + 5*g1^3*t^8.36*y + 2*g1^7*t^8.51*y - (2*t^8.56*y)/g1^12 - (t^8.7*y)/g1^8 + (3*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 57065 | $M_1q_1q_2$ + $ \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_6q_1\tilde{q}_2$ + $ M_2M_3$ | 0.6053 | 0.8025 | 0.7544 | [X:[], M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692, 0.8462], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | 2*t^2.08 + t^2.31 + 2*t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + 6*t^4.15 + 2*t^4.38 + 5*t^4.62 + 4*t^4.85 + 6*t^5.08 + 5*t^5.31 + 3*t^5.54 + 5*t^5.77 - t^6. - t^4.62/y - t^4.62*y | detail | {a: 21279/35152, c: 1763/2197, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, M6: 11/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
| 57020 | $M_1q_1q_2$ + $ \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_6q_1\tilde{q}_2$ + $ M_2M_7$ | 0.644 | 0.8463 | 0.761 | [X:[], M:[1.0, 0.9636, 0.7272, 1.0182, 0.7454, 0.7272, 1.0364], q:[0.7546, 0.2454], qb:[0.5182, 0.5182], phi:[0.4909]] | 2*t^2.18 + t^2.24 + 2*t^2.29 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.76 + 3*t^4.36 + 2*t^4.42 + 5*t^4.47 + 2*t^4.53 + 6*t^4.58 + 2*t^5.13 + t^5.18 + 5*t^5.24 + 5*t^5.29 + 3*t^5.35 + 2*t^5.4 + t^5.89 + 2*t^5.95 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
| 57021 | $M_1q_1q_2$ + $ \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_6q_1\tilde{q}_2$ + $ M_4M_7$ | 0.6555 | 0.8676 | 0.7556 | [X:[], M:[1.0, 0.8727, 0.6705, 1.0636, 0.7341, 0.6705, 0.9364], q:[0.7659, 0.2341], qb:[0.5636, 0.5636], phi:[0.4682]] | 2*t^2.01 + t^2.2 + 2*t^2.39 + t^2.62 + 2*t^2.81 + t^3. + t^3.8 + 3*t^4.02 + 2*t^4.21 + 5*t^4.4 + 2*t^4.6 + 2*t^4.63 + 6*t^4.79 + 5*t^4.82 + 4*t^5.01 + 5*t^5.2 + t^5.24 + 2*t^5.39 + 2*t^5.43 + 4*t^5.62 + 3*t^5.81 - 4*t^6. - t^4.4/y - t^4.4*y | detail |
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 |