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 |
|---|---|---|---|---|---|---|---|---|---|
| 3064 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ | 0.6053 | 0.7765 | 0.7795 | [X:[], M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [8]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_5\phi_1q_1^2$, $ M_2M_5$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ \phi_1q_1^3\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1^2q_1^4$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_2$ | . | -1 | t^2.19 + t^2.24 + t^2.29 + t^2.98 + t^3. + t^3.02 + t^3.05 + t^3.73 + t^3.76 + t^3.78 + t^4.39 + t^4.44 + 3*t^4.49 + 2*t^4.54 + 2*t^4.59 + t^5.17 + 2*t^5.22 + t^5.24 + 2*t^5.27 + 2*t^5.29 + t^5.32 + t^5.34 + t^5.93 + t^5.95 + 2*t^5.98 - t^6. + 3*t^6.02 + t^6.05 + 2*t^6.07 + t^6.1 + t^6.58 + t^6.63 + 2*t^6.68 + 3*t^6.73 + 5*t^6.78 + 3*t^6.83 + 2*t^6.88 + t^7.36 + 2*t^7.41 - t^7.44 + 4*t^7.46 + 3*t^7.51 + 2*t^7.54 + 3*t^7.56 + 3*t^7.59 + t^7.61 + 2*t^7.64 + t^8.12 + t^8.14 + t^8.17 - 2*t^8.19 + 3*t^8.22 - 2*t^8.24 + 4*t^8.27 - 2*t^8.29 + 4*t^8.32 + 2*t^8.34 + 3*t^8.37 + t^8.39 + t^8.78 + t^8.83 + 2*t^8.88 + t^8.9 + 2*t^8.93 + 2*t^8.98 - t^4.49/y - t^6.68/y + t^7.44/y + t^7.49/y + t^7.54/y + t^8.17/y + t^8.19/y + (2*t^8.22)/y + (2*t^8.24)/y + (2*t^8.27)/y + (3*t^8.29)/y + t^8.32/y + t^8.34/y - t^8.88/y + t^8.93/y + t^8.95/y + (3*t^8.98)/y - t^4.49*y - t^6.68*y + t^7.44*y + t^7.49*y + t^7.54*y + t^8.17*y + t^8.19*y + 2*t^8.22*y + 2*t^8.24*y + 2*t^8.27*y + 3*t^8.29*y + t^8.32*y + t^8.34*y - t^8.88*y + t^8.93*y + t^8.95*y + 3*t^8.98*y | t^2.19/g1^9 + t^2.24/g1 + g1^7*t^2.29 + t^2.98/g1^4 + t^3. + g1^4*t^3.02 + g1^8*t^3.05 + t^3.73/g1^3 + g1*t^3.76 + g1^5*t^3.78 + t^4.39/g1^18 + t^4.44/g1^10 + (3*t^4.49)/g1^2 + 2*g1^6*t^4.54 + 2*g1^14*t^4.59 + t^5.17/g1^13 + (2*t^5.22)/g1^5 + t^5.24/g1 + 2*g1^3*t^5.27 + 2*g1^7*t^5.29 + g1^11*t^5.32 + g1^15*t^5.34 + t^5.93/g1^12 + t^5.95/g1^8 + (2*t^5.98)/g1^4 - t^6. + 3*g1^4*t^6.02 + g1^8*t^6.05 + 2*g1^12*t^6.07 + g1^16*t^6.1 + t^6.58/g1^27 + t^6.63/g1^19 + (2*t^6.68)/g1^11 + (3*t^6.73)/g1^3 + 5*g1^5*t^6.78 + 3*g1^13*t^6.83 + 2*g1^21*t^6.88 + t^7.36/g1^22 + (2*t^7.41)/g1^14 - t^7.44/g1^10 + (4*t^7.46)/g1^6 + 3*g1^2*t^7.51 + 2*g1^6*t^7.54 + 3*g1^10*t^7.56 + 3*g1^14*t^7.59 + g1^18*t^7.61 + 2*g1^22*t^7.64 + t^8.12/g1^21 + t^8.14/g1^17 + t^8.17/g1^13 - (2*t^8.19)/g1^9 + (3*t^8.22)/g1^5 - (2*t^8.24)/g1 + 4*g1^3*t^8.27 - 2*g1^7*t^8.29 + 4*g1^11*t^8.32 + 2*g1^15*t^8.34 + 3*g1^19*t^8.37 + g1^23*t^8.39 + t^8.78/g1^36 + t^8.83/g1^28 + (2*t^8.88)/g1^20 + t^8.9/g1^16 + (2*t^8.93)/g1^12 + (2*t^8.98)/g1^4 - t^4.49/(g1^2*y) - t^6.68/(g1^11*y) + t^7.44/(g1^10*y) + t^7.49/(g1^2*y) + (g1^6*t^7.54)/y + t^8.17/(g1^13*y) + t^8.19/(g1^9*y) + (2*t^8.22)/(g1^5*y) + (2*t^8.24)/(g1*y) + (2*g1^3*t^8.27)/y + (3*g1^7*t^8.29)/y + (g1^11*t^8.32)/y + (g1^15*t^8.34)/y - t^8.88/(g1^20*y) + t^8.93/(g1^12*y) + t^8.95/(g1^8*y) + (3*t^8.98)/(g1^4*y) - (t^4.49*y)/g1^2 - (t^6.68*y)/g1^11 + (t^7.44*y)/g1^10 + (t^7.49*y)/g1^2 + g1^6*t^7.54*y + (t^8.17*y)/g1^13 + (t^8.19*y)/g1^9 + (2*t^8.22*y)/g1^5 + (2*t^8.24*y)/g1 + 2*g1^3*t^8.27*y + 3*g1^7*t^8.29*y + g1^11*t^8.32*y + g1^15*t^8.34*y - (t^8.88*y)/g1^20 + (t^8.93*y)/g1^12 + (t^8.95*y)/g1^8 + (3*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 4930 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_2M_8$ | 0.6065 | 0.7781 | 0.7795 | [X:[], M:[1.0, 1.018, 0.9639, 1.2545, 0.7094, 0.7455, 1.0361, 0.982], q:[0.2455, 0.7545], qb:[0.5, 0.5361], phi:[0.491]] | t^2.13 + t^2.24 + t^2.34 + 2*t^2.95 + t^3. + t^3.11 + t^3.71 + t^3.76 + t^3.82 + t^4.26 + t^4.36 + 3*t^4.47 + 2*t^4.58 + 2*t^4.69 + 2*t^5.07 + 2*t^5.18 + t^5.24 + 2*t^5.29 + 2*t^5.34 + t^5.45 + t^5.84 + 3*t^5.89 + 3*t^5.95 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 4932 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_4M_8$ | 0.6244 | 0.8114 | 0.7696 | [X:[], M:[1.0, 1.0093, 0.9813, 1.2523, 0.729, 0.7477, 1.0187, 0.7477], q:[0.2477, 0.7523], qb:[0.5, 0.5187], phi:[0.4953]] | t^2.19 + 2*t^2.24 + t^2.3 + t^2.97 + t^3. + t^3.03 + t^3.06 + t^3.73 + t^3.79 + t^4.37 + 2*t^4.43 + 5*t^4.49 + 3*t^4.54 + 2*t^4.6 + t^5.16 + 3*t^5.21 + 2*t^5.24 + 3*t^5.27 + 3*t^5.3 + t^5.33 + t^5.36 + t^5.92 + 3*t^5.97 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 4931 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6241 | 0.811 | 0.7696 | [X:[], M:[1.0, 1.005, 0.99, 1.2513, 0.7387, 0.7487, 1.01, 0.7538], q:[0.2487, 0.7513], qb:[0.5, 0.51], phi:[0.4975]] | t^2.22 + t^2.25 + t^2.26 + t^2.28 + t^2.98 + t^3. + t^3.02 + t^3.03 + t^3.75 + t^3.77 + t^4.43 + t^4.46 + t^4.48 + 3*t^4.49 + t^4.51 + 3*t^4.52 + t^4.54 + 2*t^4.55 + t^5.2 + 2*t^5.23 + 2*t^5.25 + 3*t^5.26 + 3*t^5.28 + 2*t^5.29 + t^5.31 + t^5.97 + t^5.98 - t^6. - t^4.49/y - t^4.49*y | detail | |
| 4933 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_8\phi_1q_1\tilde{q}_2$ | 0.6249 | 0.8124 | 0.7692 | [X:[], M:[1.0, 1.0127, 0.9745, 1.2532, 0.7213, 0.7468, 1.0255, 0.7341], q:[0.2468, 0.7532], qb:[0.5, 0.5255], phi:[0.4936]] | t^2.16 + t^2.2 + t^2.24 + t^2.32 + t^2.96 + t^3. + t^3.04 + t^3.08 + t^3.72 + t^3.76 + t^4.33 + t^4.37 + 2*t^4.4 + t^4.44 + 3*t^4.48 + t^4.52 + 2*t^4.56 + 2*t^4.63 + t^5.13 + t^5.16 + 3*t^5.2 + 2*t^5.24 + 3*t^5.28 + 2*t^5.32 + t^5.36 + t^5.39 + t^5.89 + 2*t^5.92 + 2*t^5.96 - t^6. - t^4.48/y - t^4.48*y | detail | |
| 4929 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_8\phi_1q_1^2$ | 0.605 | 0.7771 | 0.7786 | [X:[], M:[1.0, 0.9986, 1.0027, 1.2497, 0.753, 0.7503, 0.9973, 0.9986], q:[0.2503, 0.7497], qb:[0.5, 0.4973], phi:[0.5007]] | t^2.24 + t^2.25 + t^2.26 + t^2.99 + 3*t^3. + t^3.74 + 2*t^3.75 + 4*t^4.49 + 3*t^4.5 + t^4.51 + t^4.52 + t^5.23 + 4*t^5.24 + 3*t^5.25 + 2*t^5.26 + t^5.98 + 6*t^5.99 + 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2015 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ | 0.6087 | 0.7818 | 0.7785 | [X:[], M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | t^2.07 + t^2.23 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.85 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 2*t^4.79 + t^4.9 + t^4.98 + t^5.07 + 2*t^5.15 + t^5.23 + 2*t^5.31 + t^5.39 + t^5.48 + t^5.67 + 2*t^5.75 + 2*t^5.84 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |