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 |
|---|---|---|---|---|---|---|---|---|---|
| 53881 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ | 0.7132 | 0.8781 | 0.8122 | [X:[], M:[1.0035, 1.0554, 0.9965, 0.8338, 0.9446, 0.8926, 0.9965], q:[0.4169, 0.5797], qb:[0.5277, 0.5866], phi:[0.4723]] | [X:[], M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-2, 0], [-7, 1], [3, -1]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_7$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_6^2$, $ M_3M_4$, $ M_4M_7$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_5^2$, $ M_3M_6$, $ M_6M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_5M_7$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$ | . | -4 | t^2.5 + t^2.68 + 2*t^2.83 + 2*t^2.99 + t^3.34 + t^3.92 + t^4.25 + t^4.41 + t^4.43 + t^4.58 + t^4.74 + t^4.76 + t^4.89 + t^4.92 + t^4.94 + t^5. + t^5.18 + 2*t^5.34 + t^5.36 + t^5.49 + t^5.51 + 4*t^5.67 + 3*t^5.82 + 2*t^5.98 - 4*t^6. - t^6.16 + t^6.18 + t^6.42 - t^6.49 - t^6.51 + t^6.6 + t^6.69 + 3*t^6.75 + 2*t^6.91 + t^6.93 + 2*t^7.08 + t^7.11 + 3*t^7.24 + 3*t^7.26 + 2*t^7.4 + t^7.42 + t^7.44 + t^7.5 + 2*t^7.57 + t^7.59 + t^7.61 + t^7.68 + 3*t^7.73 + 2*t^7.77 + 3*t^7.84 + t^7.86 + 2*t^7.88 - t^7.91 + t^7.99 + t^8.01 + t^8.03 - t^8.06 - t^8.08 + 4*t^8.17 + t^8.19 + t^8.28 + 2*t^8.32 + 3*t^8.35 + t^8.48 + t^8.5 + 5*t^8.66 - 3*t^8.68 + 4*t^8.81 - 8*t^8.83 + t^8.92 + 2*t^8.97 - 8*t^8.99 - t^4.42/y - t^6.92/y - t^7.09/y - t^7.25/y - t^7.41/y + t^7.43/y + t^7.58/y + t^7.74/y + t^7.92/y + t^8.18/y + (2*t^8.34)/y + (2*t^8.49)/y + (2*t^8.51)/y + (3*t^8.67)/y + (4*t^8.82)/y + t^8.84/y + t^8.98/y - t^4.42*y - t^6.92*y - t^7.09*y - t^7.25*y - t^7.41*y + t^7.43*y + t^7.58*y + t^7.74*y + t^7.92*y + t^8.18*y + 2*t^8.34*y + 2*t^8.49*y + 2*t^8.51*y + 3*t^8.67*y + 4*t^8.82*y + t^8.84*y + t^8.98*y | t^2.5/g1^6 + (g2*t^2.68)/g1^7 + (2*t^2.83)/g1^2 + (2*g1^3*t^2.99)/g2 + g1*g2*t^3.34 + t^3.92/g1^7 + t^4.25/g1^3 + (g1^2*t^4.41)/g2 + (g2*t^4.43)/g1^4 + g1*t^4.58 + (g1^6*t^4.74)/g2 + g2*t^4.76 + (g1^11*t^4.89)/g2^2 + g1^5*t^4.92 + (g2^2*t^4.94)/g1 + t^5./g1^12 + (g2*t^5.18)/g1^13 + (2*t^5.34)/g1^8 + (g2^2*t^5.36)/g1^14 + t^5.49/(g1^3*g2) + (g2*t^5.51)/g1^9 + (4*t^5.67)/g1^4 + (3*g1*t^5.82)/g2 + (2*g1^6*t^5.98)/g2^2 - 4*t^6. - (g1^5*t^6.16)/g2 + (g2*t^6.18)/g1 + t^6.42/g1^13 - (g1^9*t^6.49)/g2 - g1^3*g2*t^6.51 + (g2*t^6.6)/g1^14 + g1^2*g2^2*t^6.69 + (3*t^6.75)/g1^9 + (2*t^6.91)/(g1^4*g2) + (g2*t^6.93)/g1^10 + (2*t^7.08)/g1^5 + (g2^2*t^7.11)/g1^11 + (3*t^7.24)/g2 + (3*g2*t^7.26)/g1^6 + (2*g1^5*t^7.4)/g2^2 + t^7.42/g1 + (g2^2*t^7.44)/g1^7 + t^7.5/g1^18 + (2*g1^4*t^7.57)/g2 + (g2*t^7.59)/g1^2 + (g2^3*t^7.61)/g1^8 + (g2*t^7.68)/g1^19 + (3*g1^9*t^7.73)/g2^2 + (2*g2^2*t^7.77)/g1^3 + (3*t^7.84)/g1^14 + (g2^2*t^7.86)/g1^20 + (2*g1^14*t^7.88)/g2^3 - (g1^8*t^7.91)/g2 + t^7.99/(g1^9*g2) + (g2*t^8.01)/g1^15 + (g2^3*t^8.03)/g1^21 - (g1^13*t^8.06)/g2^2 - g1^7*t^8.08 + (4*t^8.17)/g1^10 + (g2^2*t^8.19)/g1^16 + g2^3*t^8.28 + (2*t^8.32)/(g1^5*g2) + (3*g2*t^8.35)/g1^11 + t^8.48/g2^2 + t^8.5/g1^6 + (5*t^8.66)/(g1*g2) - (3*g2*t^8.68)/g1^7 + (4*g1^4*t^8.81)/g2^2 - (8*t^8.83)/g1^2 + t^8.92/g1^19 + (2*g1^9*t^8.97)/g2^3 - (8*g1^3*t^8.99)/g2 - t^4.42/(g1*y) - t^6.92/(g1^7*y) - (g2*t^7.09)/(g1^8*y) - t^7.25/(g1^3*y) - (g1^2*t^7.41)/(g2*y) + (g2*t^7.43)/(g1^4*y) + (g1*t^7.58)/y + (g1^6*t^7.74)/(g2*y) + (g1^5*t^7.92)/y + (g2*t^8.18)/(g1^13*y) + (2*t^8.34)/(g1^8*y) + (2*t^8.49)/(g1^3*g2*y) + (2*g2*t^8.51)/(g1^9*y) + (3*t^8.67)/(g1^4*y) + (4*g1*t^8.82)/(g2*y) + (g2*t^8.84)/(g1^5*y) + (g1^6*t^8.98)/(g2^2*y) - (t^4.42*y)/g1 - (t^6.92*y)/g1^7 - (g2*t^7.09*y)/g1^8 - (t^7.25*y)/g1^3 - (g1^2*t^7.41*y)/g2 + (g2*t^7.43*y)/g1^4 + g1*t^7.58*y + (g1^6*t^7.74*y)/g2 + g1^5*t^7.92*y + (g2*t^8.18*y)/g1^13 + (2*t^8.34*y)/g1^8 + (2*t^8.49*y)/(g1^3*g2) + (2*g2*t^8.51*y)/g1^9 + (3*t^8.67*y)/g1^4 + (4*g1*t^8.82*y)/g2 + (g2*t^8.84*y)/g1^5 + (g1^6*t^8.98*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56496 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_4M_6$ | 0.6944 | 0.852 | 0.8151 | [X:[], M:[1.0403, 1.0081, 0.9597, 0.9758, 0.9919, 1.0242, 0.9597], q:[0.4879, 0.4718], qb:[0.504, 0.5524], phi:[0.496]] | 2*t^2.88 + t^2.93 + 2*t^2.98 + t^3.07 + t^3.17 + t^4.32 + t^4.37 + 2*t^4.42 + t^4.46 + t^4.51 + t^4.56 + t^4.61 + t^4.66 + t^4.8 + 2*t^5.76 + t^5.81 + 4*t^5.86 + t^5.9 + 3*t^5.95 - 3*t^6. - t^4.49/y - t^4.49*y | detail | |
| 56497 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_6^2$ | 0.7029 | 0.864 | 0.8136 | [X:[], M:[1.0614, 1.0307, 0.9386, 0.9079, 0.9693, 1.0, 0.9386], q:[0.454, 0.4847], qb:[0.5153, 0.6074], phi:[0.4847]] | t^2.72 + 2*t^2.82 + 2*t^2.91 + t^3. + t^3.37 + t^4.18 + t^4.27 + 2*t^4.36 + t^4.45 + t^4.55 + t^4.64 + t^4.73 + t^4.82 + t^5.1 + t^5.45 + t^5.54 + 4*t^5.63 + 4*t^5.72 + 4*t^5.82 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56499 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_8\phi_1q_1^2$ | 0.7339 | 0.918 | 0.7994 | [X:[], M:[1.0031, 1.053, 0.9969, 0.841, 0.947, 0.8971, 0.9969, 0.6855], q:[0.4205, 0.5764], qb:[0.5265, 0.5826], phi:[0.4735]] | t^2.06 + t^2.52 + t^2.69 + 2*t^2.84 + 2*t^2.99 + t^3.33 + t^4.11 + t^4.26 + t^4.41 + t^4.43 + 2*t^4.58 + t^4.73 + 2*t^4.75 + t^4.88 + 3*t^4.9 + t^4.92 + 3*t^5.05 + t^5.21 + 2*t^5.36 + 2*t^5.38 + t^5.51 + t^5.53 + 4*t^5.68 + 3*t^5.83 + 2*t^5.98 - 4*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46927 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ | 0.7143 | 0.8808 | 0.8109 | [X:[], M:[0.9724, 1.0548, 1.0276, 0.8356, 0.9452, 0.8628], q:[0.4178, 0.6098], qb:[0.5274, 0.5546], phi:[0.4726]] | t^2.51 + t^2.59 + 2*t^2.84 + t^2.92 + t^3.08 + t^3.25 + t^3.92 + t^4.25 + t^4.33 + t^4.5 + t^4.58 + t^4.66 + t^4.75 + t^4.83 + t^4.91 + t^5.01 + t^5.08 + t^5.09 + t^5.18 + 2*t^5.34 + 2*t^5.42 + t^5.51 + 3*t^5.67 + 2*t^5.75 + t^5.83 + t^5.92 - 3*t^6. - t^4.42/y - t^4.42*y | detail |