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 |
|---|---|---|---|---|---|---|---|---|---|
| 48288 | 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_5\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ | 0.7083 | 0.8692 | 0.8149 | [X:[], M:[0.9973, 1.0492, 1.0027, 0.8523, 0.9042, 0.9973], q:[0.4261, 0.5766], qb:[0.5246, 0.5712], phi:[0.4754]] | [X:[], M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-1, -1], [-3, 1]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_6$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_5^2$, $ M_1M_4$, $ M_4M_6$, $ M_2M_4$, $ M_1M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_4q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_6$, $ M_6^2$ | . | t^2.56 + t^2.71 + t^2.85 + 2*t^2.99 + t^3.15 + t^3.3 + t^3.98 + t^4.28 + t^4.42 + t^4.43 + t^4.57 + t^4.71 + t^4.73 + t^4.85 + t^4.87 + t^4.89 + t^5.11 + t^5.27 + t^5.41 + t^5.43 + t^5.55 + 3*t^5.7 + t^5.84 + t^5.86 + 2*t^5.98 - 3*t^6. + t^6.14 + t^6.3 - t^6.44 + t^6.54 + t^6.61 + t^6.7 + 2*t^6.84 + 2*t^6.97 + t^6.99 + 2*t^7.13 + t^7.15 + 2*t^7.27 + 2*t^7.29 + 2*t^7.41 + t^7.43 + t^7.44 + 2*t^7.57 + t^7.58 + t^7.6 + t^7.67 + 2*t^7.71 + t^7.74 + t^7.83 + 2*t^7.85 + t^7.88 + 2*t^7.97 + t^7.98 + t^8.03 + t^8.11 + t^8.14 + t^8.19 + 3*t^8.26 + t^8.4 + 3*t^8.42 + t^8.54 - 2*t^8.56 + t^8.57 + 3*t^8.7 - 3*t^8.71 + 2*t^8.84 - t^8.85 + 2*t^8.98 - 6*t^8.99 - t^4.43/y - t^6.98/y - t^7.14/y - t^7.42/y + t^7.43/y + t^7.71/y + t^7.87/y + t^8.27/y + t^8.41/y + (2*t^8.55)/y + t^8.56/y + (3*t^8.7)/y + (2*t^8.84)/y + (2*t^8.86)/y + t^8.98/y - t^4.43*y - t^6.98*y - t^7.14*y - t^7.42*y + t^7.43*y + t^7.71*y + t^7.87*y + t^8.27*y + t^8.41*y + 2*t^8.55*y + t^8.56*y + 3*t^8.7*y + 2*t^8.84*y + 2*t^8.86*y + t^8.98*y | t^2.56/g1^6 + t^2.71/(g1*g2) + t^2.85/g1^2 + (2*g2*t^2.99)/g1^3 + g1^2*t^3.15 + (g1^7*t^3.3)/g2 + t^3.98/g1^7 + t^4.28/g1^3 + (g2*t^4.42)/g1^4 + (g1^2*t^4.43)/g2 + g1*t^4.57 + g2*t^4.71 + (g1^6*t^4.73)/g2 + (g2^2*t^4.85)/g1 + g1^5*t^4.87 + (g1^11*t^4.89)/g2^2 + t^5.11/g1^12 + t^5.27/(g1^7*g2) + t^5.41/g1^8 + t^5.43/(g1^2*g2^2) + (g2*t^5.55)/g1^9 + (3*t^5.7)/g1^4 + (g2*t^5.84)/g1^5 + (g1*t^5.86)/g2 + (2*g2^2*t^5.98)/g1^6 - 3*t^6. + (g2*t^6.14)/g1 + g1^4*t^6.3 - g1^3*g2*t^6.44 + t^6.54/g1^13 + (g1^14*t^6.61)/g2^2 + t^6.7/(g1^8*g2) + (2*t^6.84)/g1^9 + (2*g2*t^6.97)/g1^10 + t^6.99/(g1^4*g2) + (2*t^7.13)/g1^5 + (g1*t^7.15)/g2^2 + (2*g2*t^7.27)/g1^6 + (2*t^7.29)/g2 + (2*g2^2*t^7.41)/g1^7 + t^7.43/g1 + (g1^5*t^7.44)/g2^2 + (2*g2*t^7.57)/g1^2 + (g1^4*t^7.58)/g2 + (g1^10*t^7.6)/g2^3 + t^7.67/g1^18 + (2*g2^2*t^7.71)/g1^3 + (g1^9*t^7.74)/g2^2 + t^7.83/(g1^13*g2) + (2*g2^3*t^7.85)/g1^4 + (g1^8*t^7.88)/g2 + (2*t^7.97)/g1^14 + t^7.98/(g1^8*g2^2) + (g1^13*t^8.03)/g2^2 + (g2*t^8.11)/g1^15 + t^8.14/(g1^3*g2^3) + (g1^18*t^8.19)/g2^3 + (3*t^8.26)/g1^10 + (g2*t^8.4)/g1^11 + (3*t^8.42)/(g1^5*g2) + (g2^2*t^8.54)/g1^12 - (2*t^8.56)/g1^6 + t^8.57/g2^2 + (3*g2*t^8.7)/g1^7 - (3*t^8.71)/(g1*g2) + (2*g2^2*t^8.84)/g1^8 - t^8.85/g1^2 + (2*g2^3*t^8.98)/g1^9 - (6*g2*t^8.99)/g1^3 - t^4.43/(g1*y) - t^6.98/(g1^7*y) - t^7.14/(g1^2*g2*y) - (g2*t^7.42)/(g1^4*y) + (g1^2*t^7.43)/(g2*y) + (g2*t^7.71)/y + (g1^5*t^7.87)/y + t^8.27/(g1^7*g2*y) + t^8.41/(g1^8*y) + (2*g2*t^8.55)/(g1^9*y) + t^8.56/(g1^3*g2*y) + (3*t^8.7)/(g1^4*y) + (2*g2*t^8.84)/(g1^5*y) + (2*g1*t^8.86)/(g2*y) + (g2^2*t^8.98)/(g1^6*y) - (t^4.43*y)/g1 - (t^6.98*y)/g1^7 - (t^7.14*y)/(g1^2*g2) - (g2*t^7.42*y)/g1^4 + (g1^2*t^7.43*y)/g2 + g2*t^7.71*y + g1^5*t^7.87*y + (t^8.27*y)/(g1^7*g2) + (t^8.41*y)/g1^8 + (2*g2*t^8.55*y)/g1^9 + (t^8.56*y)/(g1^3*g2) + (3*t^8.7*y)/g1^4 + (2*g2*t^8.84*y)/g1^5 + (2*g1*t^8.86*y)/g2 + (g2^2*t^8.98*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56001 | $M_1q_1q_2$ + $ 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_5\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ + $ M_7\phi_1q_1^2$ | 0.7291 | 0.9105 | 0.8008 | [X:[], M:[0.9974, 1.0487, 1.0026, 0.8538, 0.9052, 0.9974, 0.6705], q:[0.4269, 0.5757], qb:[0.5244, 0.5705], phi:[0.4756]] | t^2.01 + t^2.56 + t^2.72 + t^2.85 + 2*t^2.99 + t^3.15 + t^3.3 + t^4.02 + t^4.28 + t^4.42 + t^4.43 + 2*t^4.57 + t^4.71 + 2*t^4.73 + t^4.85 + 2*t^4.87 + t^4.88 + 2*t^5. + t^5.12 + t^5.16 + t^5.28 + t^5.31 + t^5.42 + t^5.43 + t^5.55 + 3*t^5.71 + t^5.85 + t^5.86 + 2*t^5.98 - 3*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46383 | 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_5\tilde{q}_1\tilde{q}_2$ | 0.7095 | 0.8721 | 0.8136 | [X:[], M:[1.0279, 1.0487, 0.9721, 0.8538, 0.8746], q:[0.4269, 0.5452], qb:[0.5244, 0.601], phi:[0.4756]] | t^2.56 + t^2.62 + t^2.85 + t^2.92 + t^3.08 + t^3.15 + t^3.21 + t^3.99 + t^4.28 + t^4.34 + t^4.51 + t^4.57 + t^4.64 + t^4.7 + t^4.8 + t^4.87 + t^5.03 + t^5.12 + t^5.19 + t^5.25 + t^5.42 + t^5.48 + t^5.54 + 2*t^5.71 + 2*t^5.77 + t^5.83 - 2*t^6. - t^4.43/y - t^4.43*y | detail |