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 |
|---|---|---|---|---|---|---|---|---|---|
| 5030 | 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$ + $ 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]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10], [-12], [3]], 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$, $ M_8$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ \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_7M_8$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_7\phi_1^2$, $ M_5M_6$, $ M_6M_8$, $ M_2M_5$, $ M_2M_8$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5M_8$, $ M_8^2$, $ 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_8\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$, $ M_1M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -2 | 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^6.1 + 3*t^6.21 + t^6.31 + 3*t^6.41 + 2*t^6.52 + 4*t^6.62 + 2*t^6.72 + 7*t^6.83 + 5*t^6.93 + 7*t^7.03 + 5*t^7.14 + 9*t^7.24 + 4*t^7.34 + 10*t^7.45 + 6*t^7.55 + t^7.65 + 6*t^7.66 + 3*t^7.76 + 3*t^7.86 + 3*t^7.97 + 3*t^8.07 + t^8.17 + t^8.28 - t^8.38 - t^8.48 + 2*t^8.59 + 4*t^8.69 + 3*t^8.79 + 8*t^8.9 - t^4.34/y - t^6.41/y - t^6.62/y - t^6.72/y - t^6.83/y - t^7.03/y + t^7.34/y + t^7.45/y + (2*t^7.55)/y + (2*t^7.66)/y + (3*t^7.76)/y + (3*t^7.86)/y + (3*t^7.97)/y + (3*t^8.07)/y + (3*t^8.17)/y + (2*t^8.28)/y + (2*t^8.38)/y + (2*t^8.48)/y + (2*t^8.59)/y - t^8.9/y - t^4.34*y - t^6.41*y - t^6.62*y - t^6.72*y - t^6.83*y - t^7.03*y + t^7.34*y + t^7.45*y + 2*t^7.55*y + 2*t^7.66*y + 3*t^7.76*y + 3*t^7.86*y + 3*t^7.97*y + 3*t^8.07*y + 3*t^8.17*y + 2*t^8.28*y + 2*t^8.38*y + 2*t^8.48*y + 2*t^8.59*y - t^8.9*y | t^2.07/g1^12 + g1^10*t^2.28 + t^2.38/g1^8 + 2*g1^3*t^2.48 + t^2.69/g1^4 + t^3. + g1^11*t^3.1 + g1*t^3.83 + t^4.14/g1^24 + g1^5*t^4.14 + (2*t^4.34)/g1^2 + t^4.45/g1^20 + g1^9*t^4.45 + (2*t^4.55)/g1^9 + g1^20*t^4.55 + g1^2*t^4.66 + (2*t^4.76)/g1^16 + 2*g1^13*t^4.76 + (2*t^4.86)/g1^5 + 5*g1^6*t^4.97 + (2*t^5.07)/g1^12 + (3*t^5.17)/g1 + g1^10*t^5.28 + t^5.38/g1^8 + g1^21*t^5.38 + 2*g1^3*t^5.48 + 2*g1^14*t^5.59 + t^5.69/g1^4 + g1^7*t^5.79 - 2*t^6. + g1^11*t^6.1 + t^6.21/g1^36 + t^6.21/g1^7 + g1^22*t^6.21 + g1^4*t^6.31 + (2*t^6.41)/g1^14 + g1^15*t^6.41 + t^6.52/g1^32 + t^6.52/g1^3 + (2*t^6.62)/g1^21 + 2*g1^8*t^6.62 + t^6.72/g1^10 + g1^19*t^6.72 + (2*t^6.83)/g1^28 + 4*g1*t^6.83 + g1^30*t^6.83 + (2*t^6.93)/g1^17 + 3*g1^12*t^6.93 + (5*t^7.03)/g1^6 + 2*g1^23*t^7.03 + (3*t^7.14)/g1^24 + 2*g1^5*t^7.14 + (4*t^7.24)/g1^13 + 5*g1^16*t^7.24 + (4*t^7.34)/g1^2 + (2*t^7.45)/g1^20 + 8*g1^9*t^7.45 + (4*t^7.55)/g1^9 + 2*g1^20*t^7.55 + g1^31*t^7.65 + 6*g1^2*t^7.66 + (2*t^7.76)/g1^16 + g1^13*t^7.76 + t^7.86/g1^5 + 2*g1^24*t^7.86 + 3*g1^6*t^7.97 - t^8.07/g1^12 + 4*g1^17*t^8.07 + t^8.17/g1 + t^8.28/g1^48 - (2*t^8.38)/g1^8 + g1^21*t^8.38 + (2*t^8.48)/g1^26 - 4*g1^3*t^8.48 + g1^32*t^8.48 + t^8.59/g1^44 + g1^14*t^8.59 + (2*t^8.69)/g1^33 - t^8.69/g1^4 + 3*g1^25*t^8.69 + t^8.79/g1^22 + 2*g1^7*t^8.79 + (2*t^8.9)/g1^40 + (3*t^8.9)/g1^11 + 3*g1^18*t^8.9 - t^4.34/(g1^2*y) - t^6.41/(g1^14*y) - (g1^8*t^6.62)/y - t^6.72/(g1^10*y) - (g1*t^6.83)/y - t^7.03/(g1^6*y) + t^7.34/(g1^2*y) + t^7.45/(g1^20*y) + (2*t^7.55)/(g1^9*y) + (2*g1^2*t^7.66)/y + t^7.76/(g1^16*y) + (2*g1^13*t^7.76)/y + (3*t^7.86)/(g1^5*y) + (3*g1^6*t^7.97)/y + (3*t^8.07)/(g1^12*y) + (3*t^8.17)/(g1*y) + (2*g1^10*t^8.28)/y + t^8.38/(g1^8*y) + (g1^21*t^8.38)/y - t^8.48/(g1^26*y) + (3*g1^3*t^8.48)/y + (2*g1^14*t^8.59)/y - t^8.79/(g1^22*y) + (g1^7*t^8.79)/y - (g1^18*t^8.9)/y - (t^4.34*y)/g1^2 - (t^6.41*y)/g1^14 - g1^8*t^6.62*y - (t^6.72*y)/g1^10 - g1*t^6.83*y - (t^7.03*y)/g1^6 + (t^7.34*y)/g1^2 + (t^7.45*y)/g1^20 + (2*t^7.55*y)/g1^9 + 2*g1^2*t^7.66*y + (t^7.76*y)/g1^16 + 2*g1^13*t^7.76*y + (3*t^7.86*y)/g1^5 + 3*g1^6*t^7.97*y + (3*t^8.07*y)/g1^12 + (3*t^8.17*y)/g1 + 2*g1^10*t^8.28*y + (t^8.38*y)/g1^8 + g1^21*t^8.38*y - (t^8.48*y)/g1^26 + 3*g1^3*t^8.48*y + 2*g1^14*t^8.59*y - (t^8.79*y)/g1^22 + g1^7*t^8.79*y - g1^18*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 6657 | $M_1q_1q_2$ + $ 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$ + $ M_6M_9$ | 0.6962 | 0.8802 | 0.791 | [X:[1.3877], M:[1.0, 0.7797, 0.6123, 1.1674, 0.8326, 0.7753, 0.6696, 0.8326, 1.2247], q:[0.6101, 0.3899], qb:[0.7775, 0.4427], phi:[0.4449]] | t^2.01 + t^2.34 + 2*t^2.5 + t^2.67 + t^3. + t^3.16 + t^3.67 + t^3.83 + t^4.02 + t^4.16 + t^4.33 + t^4.35 + t^4.49 + 2*t^4.51 + 2*t^4.68 + 2*t^4.84 + 4*t^5. + 2*t^5.01 + 3*t^5.17 + t^5.34 + 2*t^5.5 + 2*t^5.66 + t^5.67 + t^5.68 + t^5.83 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.34/y - t^4.34*y | detail |