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 |
|---|---|---|---|---|---|---|---|---|---|
| 46631 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_2M_3$ | 0.7215 | 0.8862 | 0.8142 | [X:[], M:[0.8197, 1.0, 1.0, 0.8197, 1.0], q:[0.5, 0.6803], qb:[0.5, 0.5], phi:[0.4549]] | [X:[], M:[[-4, 1], [0, 1], [0, -1], [-4, -1], [0, 0]], q:[[0, -1], [4, 0]], qb:[[0, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_5$, $ M_3$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_1^2$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1q_2^2$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_3M_4$, $ M_1M_2$, $ M_5\phi_1^2$, $ M_3\phi_1^2$, $ M_2\phi_1^2$ | $M_2^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_5$, $ M_4q_2\tilde{q}_1$ | -2 | 2*t^2.46 + t^2.73 + 3*t^3. + t^3.54 + 6*t^4.36 + 3*t^4.91 + 3*t^4.92 + 2*t^5.19 + t^5.45 + 4*t^5.46 + 3*t^5.73 - 2*t^6. + t^6.27 - t^6.54 + 9*t^6.82 + t^7.08 + 6*t^7.09 + 12*t^7.36 + 4*t^7.38 - 3*t^7.64 + 3*t^7.65 + 5*t^7.91 + 6*t^7.92 - 2*t^8.18 + 4*t^8.19 + 3*t^8.45 - 7*t^8.46 - t^8.72 + 13*t^8.73 + t^8.99 - t^4.36/y - (2*t^6.82)/y - t^7.09/y + t^7.64/y + (2*t^7.91)/y + t^7.92/y + (2*t^8.19)/y + (6*t^8.46)/y + (3*t^8.73)/y - t^4.36*y - 2*t^6.82*y - t^7.09*y + t^7.64*y + 2*t^7.91*y + t^7.92*y + 2*t^8.19*y + 6*t^8.46*y + 3*t^8.73*y | t^2.46/(g1^4*g2) + (g2*t^2.46)/g1^4 + t^2.73/g1^2 + t^3. + t^3./g2 + g2*t^3. + g1^4*t^3.54 + (2*t^4.36)/g1 + t^4.36/(g1*g2^2) + t^4.36/(g1*g2) + (g2*t^4.36)/g1 + (g2^2*t^4.36)/g1 + g1^3*t^4.91 + (g1^3*t^4.91)/g2 + g1^3*g2*t^4.91 + t^4.92/g1^8 + t^4.92/(g1^8*g2^2) + (g2^2*t^4.92)/g1^8 + t^5.19/(g1^6*g2) + (g2*t^5.19)/g1^6 + g1^7*t^5.45 + (2*t^5.46)/g1^4 + t^5.46/(g1^4*g2^2) + (g2^2*t^5.46)/g1^4 + t^5.73/g1^2 + t^5.73/(g1^2*g2) + (g2*t^5.73)/g1^2 - 2*t^6. + g1^2*t^6.27 - g1^4*t^6.54 + t^6.82/g1^5 + t^6.82/(g1^5*g2^3) + t^6.82/(g1^5*g2^2) + (2*t^6.82)/(g1^5*g2) + (2*g2*t^6.82)/g1^5 + (g2^2*t^6.82)/g1^5 + (g2^3*t^6.82)/g1^5 + g1^8*t^7.08 + (2*t^7.09)/g1^3 + t^7.09/(g1^3*g2^2) + t^7.09/(g1^3*g2) + (g2*t^7.09)/g1^3 + (g2^2*t^7.09)/g1^3 + (2*t^7.36)/g1 + t^7.36/(g1*g2^3) + (2*t^7.36)/(g1*g2^2) + (2*t^7.36)/(g1*g2) + (2*g2*t^7.36)/g1 + (2*g2^2*t^7.36)/g1 + (g2^3*t^7.36)/g1 + t^7.38/(g1^12*g2^3) + t^7.38/(g1^12*g2) + (g2*t^7.38)/g1^12 + (g2^3*t^7.38)/g1^12 - g1*t^7.64 - (g1*t^7.64)/g2^2 - g1*g2^2*t^7.64 + t^7.65/g1^10 + t^7.65/(g1^10*g2^2) + (g2^2*t^7.65)/g1^10 + g1^3*t^7.91 + (g1^3*t^7.91)/g2^2 + (g1^3*t^7.91)/g2 + g1^3*g2*t^7.91 + g1^3*g2^2*t^7.91 + t^7.92/(g1^8*g2^3) + (2*t^7.92)/(g1^8*g2) + (2*g2*t^7.92)/g1^8 + (g2^3*t^7.92)/g1^8 - (g1^5*t^8.18)/g2 - g1^5*g2*t^8.18 + (2*t^8.19)/g1^6 + t^8.19/(g1^6*g2^2) + (g2^2*t^8.19)/g1^6 + g1^7*t^8.45 + (g1^7*t^8.45)/g2 + g1^7*g2*t^8.45 - t^8.46/g1^4 - t^8.46/(g1^4*g2^2) - (2*t^8.46)/(g1^4*g2) - (2*g2*t^8.46)/g1^4 - (g2^2*t^8.46)/g1^4 - g1^9*t^8.72 + t^8.73/g1^2 + t^8.73/(g1^2*g2^4) + t^8.73/(g1^2*g2^3) + (2*t^8.73)/(g1^2*g2^2) + (2*t^8.73)/(g1^2*g2) + (2*g2*t^8.73)/g1^2 + (2*g2^2*t^8.73)/g1^2 + (g2^3*t^8.73)/g1^2 + (g2^4*t^8.73)/g1^2 + g1^11*t^8.99 - t^4.36/(g1*y) - t^6.82/(g1^5*g2*y) - (g2*t^6.82)/(g1^5*y) - t^7.09/(g1^3*y) + (g1*t^7.64)/y + (g1^3*t^7.91)/(g2*y) + (g1^3*g2*t^7.91)/y + t^7.92/(g1^8*y) + t^8.19/(g1^6*g2*y) + (g2*t^8.19)/(g1^6*y) + (2*t^8.46)/(g1^4*y) + t^8.46/(g1^4*g2^2*y) + t^8.46/(g1^4*g2*y) + (g2*t^8.46)/(g1^4*y) + (g2^2*t^8.46)/(g1^4*y) + t^8.73/(g1^2*y) + t^8.73/(g1^2*g2*y) + (g2*t^8.73)/(g1^2*y) - (t^4.36*y)/g1 - (t^6.82*y)/(g1^5*g2) - (g2*t^6.82*y)/g1^5 - (t^7.09*y)/g1^3 + g1*t^7.64*y + (g1^3*t^7.91*y)/g2 + g1^3*g2*t^7.91*y + (t^7.92*y)/g1^8 + (t^8.19*y)/(g1^6*g2) + (g2*t^8.19*y)/g1^6 + (2*t^8.46*y)/g1^4 + (t^8.46*y)/(g1^4*g2^2) + (t^8.46*y)/(g1^4*g2) + (g2*t^8.46*y)/g1^4 + (g2^2*t^8.46*y)/g1^4 + (t^8.73*y)/g1^2 + (t^8.73*y)/(g1^2*g2) + (g2*t^8.73*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48183 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_2M_3$ + $ M_2M_6$ | 0.7226 | 0.8888 | 0.8131 | [X:[], M:[0.8437, 1.0234, 0.9766, 0.7968, 1.0, 0.9766], q:[0.4766, 0.6798], qb:[0.5, 0.5234], phi:[0.4551]] | t^2.39 + t^2.53 + t^2.73 + 2*t^2.93 + t^3. + t^3.54 + t^4.22 + t^4.29 + 2*t^4.37 + t^4.44 + t^4.51 + t^4.78 + t^4.83 + t^4.9 + t^4.92 + t^4.97 + t^5.06 + t^5.12 + t^5.26 + 2*t^5.32 + t^5.44 + 2*t^5.46 + 2*t^5.66 + t^5.73 + 2*t^5.86 + t^5.93 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46324 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |