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 |
|---|---|---|---|---|---|---|---|---|---|
| 359 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6647 | 0.8522 | 0.78 | [X:[], M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_3M_4$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$ | $M_4\phi_1\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$ | 1 | t^2.06 + 2*t^2.44 + 2*t^2.53 + t^3. + 2*t^3.47 + 2*t^3.94 + 2*t^4.03 + 2*t^4.11 + 2*t^4.5 + 2*t^4.58 + 3*t^4.89 + 4*t^4.97 + 4*t^5.06 + 2*t^5.44 + 4*t^5.53 + 2*t^5.92 + t^6. + 2*t^6.17 + 4*t^6.39 + 6*t^6.47 + 6*t^6.56 + 4*t^6.64 + 4*t^6.94 + 2*t^7.03 + 4*t^7.11 + 4*t^7.33 + 6*t^7.42 + 4*t^7.5 + 6*t^7.58 + 5*t^7.89 + 6*t^7.97 + 5*t^8.06 + 2*t^8.14 + 3*t^8.22 + 2*t^8.36 - 2*t^8.44 - 2*t^8.53 + 2*t^8.61 + 4*t^8.7 + 6*t^8.83 + 8*t^8.92 - t^4.5/y - t^6.56/y - t^6.94/y + (2*t^7.5)/y + (2*t^7.58)/y + t^7.89/y + (4*t^7.97)/y + (3*t^8.06)/y + (3*t^8.44)/y + (4*t^8.53)/y - t^8.61/y + (4*t^8.92)/y - t^4.5*y - t^6.56*y - t^6.94*y + 2*t^7.5*y + 2*t^7.58*y + t^7.89*y + 4*t^7.97*y + 3*t^8.06*y + 3*t^8.44*y + 4*t^8.53*y - t^8.61*y + 4*t^8.92*y | t^2.06/(g1*g2) + 2*g1*g2*t^2.44 + t^2.53/g1 + t^2.53/g2 + t^3. + g1*t^3.47 + g2*t^3.47 + g1^2*t^3.94 + g2^2*t^3.94 + t^4.03/g1 + t^4.03/g2 + (2*t^4.11)/(g1^2*g2^2) + 2*t^4.5 + t^4.58/(g1*g2^2) + t^4.58/(g1^2*g2) + 3*g1^2*g2^2*t^4.89 + 2*g1*t^4.97 + 2*g2*t^4.97 + t^5.06/g1^2 + t^5.06/g2^2 + (2*t^5.06)/(g1*g2) + 2*g1*g2*t^5.44 + (2*t^5.53)/g1 + (2*t^5.53)/g2 + g1^2*g2*t^5.92 + g1*g2^2*t^5.92 - t^6. + (g1*t^6.)/g2 + (g2*t^6.)/g1 + (2*t^6.17)/(g1^3*g2^3) + 2*g1^3*g2*t^6.39 + 2*g1*g2^3*t^6.39 + 2*g1*t^6.47 + (g1^2*t^6.47)/g2 + 2*g2*t^6.47 + (g2^2*t^6.47)/g1 + t^6.56/g1^2 + t^6.56/g2^2 + (4*t^6.56)/(g1*g2) + (2*t^6.64)/(g1^2*g2^3) + (2*t^6.64)/(g1^3*g2^2) + g1^2*t^6.94 + 2*g1*g2*t^6.94 + g2^2*t^6.94 + t^7.03/g1 + t^7.03/g2 + t^7.11/(g1*g2^3) + (2*t^7.11)/(g1^2*g2^2) + t^7.11/(g1^3*g2) + 4*g1^3*g2^3*t^7.33 + g1^3*t^7.42 + 2*g1^2*g2*t^7.42 + 2*g1*g2^2*t^7.42 + g2^3*t^7.42 + 2*t^7.5 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + t^7.58/g1^3 + t^7.58/g2^3 + (2*t^7.58)/(g1*g2^2) + (2*t^7.58)/(g1^2*g2) + g1^4*t^7.89 + 3*g1^2*g2^2*t^7.89 + g2^4*t^7.89 + 2*g1*t^7.97 + (g1^2*t^7.97)/g2 + 2*g2*t^7.97 + (g2^2*t^7.97)/g1 + (3*t^8.06)/g1^2 + (3*t^8.06)/g2^2 - t^8.06/(g1*g2) + t^8.14/(g1^2*g2^3) + t^8.14/(g1^3*g2^2) + (3*t^8.22)/(g1^4*g2^4) + g1^3*g2^2*t^8.36 + g1^2*g2^3*t^8.36 + g1^2*t^8.44 - 4*g1*g2*t^8.44 + g2^2*t^8.44 - (2*t^8.53)/g1 + (g1*t^8.53)/g2^2 - (2*t^8.53)/g2 + (g2*t^8.53)/g1^2 + (2*t^8.61)/(g1^2*g2^2) + (2*t^8.7)/(g1^3*g2^4) + (2*t^8.7)/(g1^4*g2^3) + 3*g1^4*g2^2*t^8.83 + 3*g1^2*g2^4*t^8.83 + 2*g1^3*t^8.92 + 2*g1^2*g2*t^8.92 + 2*g1*g2^2*t^8.92 + 2*g2^3*t^8.92 - t^4.5/y - t^6.56/(g1*g2*y) - (g1*g2*t^6.94)/y + (2*t^7.5)/y + t^7.58/(g1*g2^2*y) + t^7.58/(g1^2*g2*y) + (g1^2*g2^2*t^7.89)/y + (2*g1*t^7.97)/y + (2*g2*t^7.97)/y + (3*t^8.06)/(g1*g2*y) + (3*g1*g2*t^8.44)/y + (2*t^8.53)/(g1*y) + (2*t^8.53)/(g2*y) - t^8.61/(g1^2*g2^2*y) + (2*g1^2*g2*t^8.92)/y + (2*g1*g2^2*t^8.92)/y - t^4.5*y - (t^6.56*y)/(g1*g2) - g1*g2*t^6.94*y + 2*t^7.5*y + (t^7.58*y)/(g1*g2^2) + (t^7.58*y)/(g1^2*g2) + g1^2*g2^2*t^7.89*y + 2*g1*t^7.97*y + 2*g2*t^7.97*y + (3*t^8.06*y)/(g1*g2) + 3*g1*g2*t^8.44*y + (2*t^8.53*y)/g1 + (2*t^8.53*y)/g2 - (t^8.61*y)/(g1^2*g2^2) + 2*g1^2*g2*t^8.92*y + 2*g1*g2^2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1819 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ | 0.6643 | 0.8518 | 0.7799 | [X:[], M:[0.8278, 1.1722, 0.8278, 0.6722], q:[0.75, 0.4222], qb:[0.4222, 0.4056], phi:[0.5]] | t^2.02 + 3*t^2.48 + t^2.53 + t^3. + t^3.47 + t^3.52 + t^3.93 + t^3.98 + 4*t^4.03 + 3*t^4.5 + t^4.55 + 6*t^4.97 + 4*t^5.02 + t^5.07 + 4*t^5.48 + 2*t^5.53 + 2*t^5.95 - t^4.5/y - t^4.5*y | detail | |
| 1817 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6791 | 0.8778 | 0.7737 | [X:[], M:[0.8237, 1.1763, 0.8237, 0.6763, 0.8213], q:[0.75, 0.4263], qb:[0.4287, 0.395], phi:[0.5]] | t^2.03 + 2*t^2.46 + 2*t^2.47 + t^2.56 + t^3. + t^3.44 + t^3.87 + t^3.96 + 3*t^4.06 + t^4.07 + 2*t^4.49 + 2*t^4.5 + t^4.59 + 3*t^4.93 + 7*t^4.94 + 3*t^5.03 + 2*t^5.04 + t^5.13 + 3*t^5.46 + 2*t^5.47 + t^5.56 + 2*t^5.9 + t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 571 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ | 0.652 | 0.8312 | 0.7844 | [X:[], M:[0.8043, 1.1957, 0.8043, 0.6957, 1.1326], q:[0.75, 0.4457], qb:[0.4217, 0.3826], phi:[0.5]] | t^2.09 + 2*t^2.41 + t^2.48 + t^3. + 2*t^3.4 + t^3.52 + t^3.8 + t^3.98 + t^4.03 + t^4.1 + 2*t^4.17 + 2*t^4.5 + t^4.57 + 3*t^4.83 + 2*t^4.9 + t^4.97 + t^5.09 + 2*t^5.41 + 3*t^5.48 + t^5.6 + 3*t^5.81 + 2*t^5.88 + t^5.93 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 225 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ | 0.644 | 0.812 | 0.7931 | [X:[], M:[0.8115, 1.1885, 0.8115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] | 2*t^2.43 + 2*t^2.53 + t^3. + 2*t^3.47 + 3*t^3.93 + 2*t^4.03 + t^4.13 + 3*t^4.87 + 4*t^4.97 + 3*t^5.07 + 2*t^5.43 + 2*t^5.53 + 2*t^5.9 - t^6. - t^4.5/y - t^4.5*y | detail |