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 |
|---|---|---|---|---|---|---|---|---|---|
| 3156 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6999 | 0.8874 | 0.7887 | [X:[1.3826], M:[1.0, 0.7878, 0.6174, 1.1704, 0.8296, 0.7653, 0.6817], q:[0.6061, 0.3939], qb:[0.7765, 0.4357], phi:[0.4469]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10], [-12]], q:[[4], [-4]], qb:[[1], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ X_1$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_2M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_7$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_7\phi_1^2$, $ M_5M_6$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_7q_1\tilde{q}_2$, $ M_1M_6$, $ M_1M_2$, $ \phi_1^4$, $ M_6q_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_5q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_4M_6$, $ \phi_1^2q_1\tilde{q}_2$, $ M_2M_4$, $ M_7\phi_1q_2\tilde{q}_2$ | . | -1 | t^2.05 + t^2.3 + t^2.36 + t^2.49 + t^2.68 + t^3. + t^3.13 + t^3.51 + t^3.83 + t^4.09 + t^4.15 + 2*t^4.34 + t^4.41 + t^4.47 + t^4.53 + t^4.59 + t^4.66 + 2*t^4.73 + t^4.78 + t^4.85 + 3*t^4.98 + 2*t^5.05 + 2*t^5.17 + t^5.3 + t^5.36 + t^5.42 + t^5.49 + t^5.56 + t^5.61 + t^5.68 + 2*t^5.81 + t^5.87 - t^6. + t^6.13 + t^6.14 + 2*t^6.19 + t^6.25 + 2*t^6.39 + t^6.44 + t^6.45 + 2*t^6.51 + t^6.58 + 2*t^6.64 + t^6.7 + t^6.76 + 2*t^6.77 + 2*t^6.83 + t^6.89 + t^6.9 + 2*t^6.95 + 4*t^7.02 + t^7.08 + 3*t^7.09 + t^7.15 + 2*t^7.22 + 3*t^7.27 + 3*t^7.34 + 2*t^7.41 + 3*t^7.47 + 2*t^7.53 + 2*t^7.59 + t^7.6 + 4*t^7.66 + t^7.72 + 2*t^7.73 + 2*t^7.85 + t^7.91 + t^7.92 + 2*t^7.98 + 3*t^8.1 + t^8.17 + t^8.18 + 2*t^8.24 - t^8.36 + t^8.42 + 2*t^8.43 + t^8.49 + t^8.5 + t^8.55 + 2*t^8.56 + t^8.62 + 2*t^8.74 + t^8.75 + 2*t^8.81 + 2*t^8.82 + 2*t^8.87 + 3*t^8.93 + t^8.94 - t^4.34/y - t^6.39/y - t^6.64/y - t^6.7/y - t^7.02/y + t^7.34/y + t^7.41/y + t^7.53/y + (2*t^7.66)/y + t^7.73/y + t^7.78/y + t^7.85/y + (2*t^7.98)/y + (3*t^8.05)/y + (2*t^8.17)/y + (2*t^8.3)/y + t^8.36/y + t^8.42/y - t^8.43/y + (2*t^8.49)/y + t^8.56/y + t^8.61/y - t^8.75/y + (2*t^8.81)/y + (2*t^8.87)/y - t^8.93/y - t^4.34*y - t^6.39*y - t^6.64*y - t^6.7*y - t^7.02*y + t^7.34*y + t^7.41*y + t^7.53*y + 2*t^7.66*y + t^7.73*y + t^7.78*y + t^7.85*y + 2*t^7.98*y + 3*t^8.05*y + 2*t^8.17*y + 2*t^8.3*y + t^8.36*y + t^8.42*y - t^8.43*y + 2*t^8.49*y + t^8.56*y + t^8.61*y - t^8.75*y + 2*t^8.81*y + 2*t^8.87*y - t^8.93*y | t^2.05/g1^12 + g1^10*t^2.3 + t^2.36/g1^8 + g1^3*t^2.49 + t^2.68/g1^4 + t^3. + g1^11*t^3.13 + t^3.51/g1^3 + g1*t^3.83 + t^4.09/g1^24 + g1^5*t^4.15 + (2*t^4.34)/g1^2 + t^4.41/g1^20 + g1^9*t^4.47 + t^4.53/g1^9 + g1^20*t^4.59 + g1^2*t^4.66 + (2*t^4.73)/g1^16 + g1^13*t^4.78 + t^4.85/g1^5 + 3*g1^6*t^4.98 + (2*t^5.05)/g1^12 + (2*t^5.17)/g1 + g1^10*t^5.3 + t^5.36/g1^8 + g1^21*t^5.42 + g1^3*t^5.49 + t^5.56/g1^15 + g1^14*t^5.61 + t^5.68/g1^4 + 2*g1^7*t^5.81 + t^5.87/g1^11 - t^6. + g1^11*t^6.13 + t^6.14/g1^36 + (2*t^6.19)/g1^7 + g1^22*t^6.25 + (2*t^6.39)/g1^14 + g1^15*t^6.44 + t^6.45/g1^32 + (2*t^6.51)/g1^3 + t^6.58/g1^21 + 2*g1^8*t^6.64 + t^6.7/g1^10 + g1^19*t^6.76 + (2*t^6.77)/g1^28 + 2*g1*t^6.83 + g1^30*t^6.89 + t^6.9/g1^17 + 2*g1^12*t^6.95 + (4*t^7.02)/g1^6 + g1^23*t^7.08 + (3*t^7.09)/g1^24 + g1^5*t^7.15 + (2*t^7.22)/g1^13 + 3*g1^16*t^7.27 + (3*t^7.34)/g1^2 + (2*t^7.41)/g1^20 + 3*g1^9*t^7.47 + (2*t^7.53)/g1^9 + 2*g1^20*t^7.59 + t^7.6/g1^27 + 4*g1^2*t^7.66 + g1^31*t^7.72 + (2*t^7.73)/g1^16 + (2*t^7.85)/g1^5 + g1^24*t^7.91 + t^7.92/g1^23 + 2*g1^6*t^7.98 + 3*g1^17*t^8.1 + t^8.17/g1 + t^8.18/g1^48 + (2*t^8.24)/g1^19 - t^8.36/g1^8 + g1^21*t^8.42 + (2*t^8.43)/g1^26 + g1^3*t^8.49 + t^8.5/g1^44 + g1^32*t^8.55 + (2*t^8.56)/g1^15 + t^8.62/g1^33 + 2*g1^25*t^8.74 + t^8.75/g1^22 + 2*g1^7*t^8.81 + (2*t^8.82)/g1^40 + (2*t^8.87)/g1^11 + 3*g1^18*t^8.93 + t^8.94/g1^29 - t^4.34/(g1^2*y) - t^6.39/(g1^14*y) - (g1^8*t^6.64)/y - t^6.7/(g1^10*y) - t^7.02/(g1^6*y) + t^7.34/(g1^2*y) + t^7.41/(g1^20*y) + t^7.53/(g1^9*y) + (2*g1^2*t^7.66)/y + t^7.73/(g1^16*y) + (g1^13*t^7.78)/y + t^7.85/(g1^5*y) + (2*g1^6*t^7.98)/y + (3*t^8.05)/(g1^12*y) + (2*t^8.17)/(g1*y) + (2*g1^10*t^8.3)/y + t^8.36/(g1^8*y) + (g1^21*t^8.42)/y - t^8.43/(g1^26*y) + (2*g1^3*t^8.49)/y + t^8.56/(g1^15*y) + (g1^14*t^8.61)/y - t^8.75/(g1^22*y) + (2*g1^7*t^8.81)/y + (2*t^8.87)/(g1^11*y) - (g1^18*t^8.93)/y - (t^4.34*y)/g1^2 - (t^6.39*y)/g1^14 - g1^8*t^6.64*y - (t^6.7*y)/g1^10 - (t^7.02*y)/g1^6 + (t^7.34*y)/g1^2 + (t^7.41*y)/g1^20 + (t^7.53*y)/g1^9 + 2*g1^2*t^7.66*y + (t^7.73*y)/g1^16 + g1^13*t^7.78*y + (t^7.85*y)/g1^5 + 2*g1^6*t^7.98*y + (3*t^8.05*y)/g1^12 + (2*t^8.17*y)/g1 + 2*g1^10*t^8.3*y + (t^8.36*y)/g1^8 + g1^21*t^8.42*y - (t^8.43*y)/g1^26 + 2*g1^3*t^8.49*y + (t^8.56*y)/g1^15 + g1^14*t^8.61*y - (t^8.75*y)/g1^22 + 2*g1^7*t^8.81*y + (2*t^8.87*y)/g1^11 - g1^18*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 5028 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_2M_8$ | 0.683 | 0.8581 | 0.796 | [X:[1.3746], M:[1.0, 0.8007, 0.6254, 1.1753, 0.8247, 0.7491, 0.7011, 1.1993], q:[0.5996, 0.4004], qb:[0.7749, 0.4244], phi:[0.4502]] | t^2.1 + t^2.25 + t^2.47 + t^2.7 + t^3. + t^3.07 + t^3.53 + t^3.6 + t^3.82 + t^4.12 + t^4.21 + 2*t^4.35 + t^4.42 + t^4.49 + t^4.58 + t^4.72 + t^4.8 + 3*t^4.95 + t^5.1 + 2*t^5.18 + t^5.25 + t^5.32 + t^5.55 + t^5.63 + 2*t^5.7 + 2*t^5.77 + t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 5030 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_4M_8$ | 0.7145 | 0.9128 | 0.7828 | [X:[1.3792], M:[1.0, 0.7933, 0.6208, 1.1725, 0.8275, 0.7584, 0.6899, 0.8275], q:[0.6034, 0.3966], qb:[0.7758, 0.4309], phi:[0.4483]] | t^2.07 + t^2.28 + t^2.38 + 2*t^2.48 + t^2.69 + t^3. + t^3.1 + t^3.83 + 2*t^4.14 + 2*t^4.34 + 2*t^4.45 + 3*t^4.55 + t^4.66 + 4*t^4.76 + 2*t^4.86 + 5*t^4.97 + 2*t^5.07 + 3*t^5.17 + t^5.28 + 2*t^5.38 + 2*t^5.48 + 2*t^5.59 + t^5.69 + t^5.79 - 2*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2092 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ | 0.6791 | 0.8471 | 0.8017 | [X:[1.3804], M:[1.0, 0.7914, 0.6196, 1.1718, 0.8282, 0.7608], q:[0.6043, 0.3957], qb:[0.7761, 0.4326], phi:[0.4478]] | t^2.28 + t^2.37 + t^2.48 + t^2.69 + t^3. + t^3.11 + t^3.52 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.45 + t^4.56 + t^4.66 + t^4.75 + t^4.77 + t^4.86 + 3*t^4.97 + t^5.06 + t^5.17 + t^5.28 + t^5.37 + t^5.39 + t^5.48 + t^5.6 + t^5.69 + 2*t^5.8 - t^6. - t^4.34/y - t^4.34*y | detail |