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 |
|---|---|---|---|---|---|---|---|---|---|
| 47108 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6539 | 0.8186 | 0.7988 | [X:[], M:[0.8471, 1.2118, 0.7882, 0.7294, 0.9059], q:[0.7294, 0.4235], qb:[0.3647, 0.7882], phi:[0.4235]] | [X:[], M:[[-4], [-1], [1], [6], [-9]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_1$, $ \phi_1^2$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_3M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_5\phi_1^2$, $ M_5^2$, $ \phi_1q_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 2 | t^2.19 + t^2.36 + 2*t^2.54 + t^2.72 + 2*t^3.46 + 2*t^3.64 + t^4.38 + 3*t^4.55 + 4*t^4.73 + 2*t^4.91 + 3*t^5.08 + 2*t^5.26 + t^5.44 + 3*t^5.65 + 3*t^5.82 + 2*t^6. + 2*t^6.18 + t^6.35 + t^6.56 + 3*t^6.74 + 5*t^6.92 + 5*t^7.09 + 5*t^7.27 + 3*t^7.45 + 5*t^7.62 + 3*t^7.8 + 3*t^7.84 + 2*t^7.98 + 5*t^8.01 + t^8.15 + 5*t^8.19 - t^8.36 - t^8.54 + t^8.75 + 3*t^8.93 - t^4.27/y - t^6.46/y - (2*t^6.81)/y - t^6.99/y + (2*t^7.55)/y + (4*t^7.73)/y + (3*t^7.91)/y + (3*t^8.08)/y + (2*t^8.26)/y + t^8.65/y + (4*t^8.82)/y - t^4.27*y - t^6.46*y - 2*t^6.81*y - t^6.99*y + 2*t^7.55*y + 4*t^7.73*y + 3*t^7.91*y + 3*t^8.08*y + 2*t^8.26*y + t^8.65*y + 4*t^8.82*y | g1^6*t^2.19 + g1*t^2.36 + (2*t^2.54)/g1^4 + t^2.72/g1^9 + 2*g1^4*t^3.46 + (2*t^3.64)/g1 + g1^12*t^4.38 + 3*g1^7*t^4.55 + 4*g1^2*t^4.73 + (2*t^4.91)/g1^3 + (3*t^5.08)/g1^8 + (2*t^5.26)/g1^13 + t^5.44/g1^18 + 3*g1^10*t^5.65 + 3*g1^5*t^5.82 + 2*t^6. + (2*t^6.18)/g1^5 + t^6.35/g1^10 + g1^18*t^6.56 + 3*g1^13*t^6.74 + 5*g1^8*t^6.92 + 5*g1^3*t^7.09 + (5*t^7.27)/g1^2 + (3*t^7.45)/g1^7 + (5*t^7.62)/g1^12 + (3*t^7.8)/g1^17 + 3*g1^16*t^7.84 + (2*t^7.98)/g1^22 + 5*g1^11*t^8.01 + t^8.15/g1^27 + 5*g1^6*t^8.19 - g1*t^8.36 - t^8.54/g1^4 + g1^24*t^8.75 + 3*g1^19*t^8.93 - t^4.27/(g1^2*y) - (g1^4*t^6.46)/y - (2*t^6.81)/(g1^6*y) - t^6.99/(g1^11*y) + (2*g1^7*t^7.55)/y + (4*g1^2*t^7.73)/y + (3*t^7.91)/(g1^3*y) + (3*t^8.08)/(g1^8*y) + (2*t^8.26)/(g1^13*y) + (g1^10*t^8.65)/y + (4*g1^5*t^8.82)/y - (t^4.27*y)/g1^2 - g1^4*t^6.46*y - (2*t^6.81*y)/g1^6 - (t^6.99*y)/g1^11 + 2*g1^7*t^7.55*y + 4*g1^2*t^7.73*y + (3*t^7.91*y)/g1^3 + (3*t^8.08*y)/g1^8 + (2*t^8.26*y)/g1^13 + g1^10*t^8.65*y + 4*g1^5*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 55469 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_6$ | 0.6711 | 0.8492 | 0.7903 | [X:[], M:[0.8492, 1.2123, 0.7877, 0.7262, 0.9107, 0.7877], q:[0.7262, 0.4246], qb:[0.3631, 0.7877], phi:[0.4246]] | t^2.18 + 2*t^2.36 + 2*t^2.55 + t^2.73 + 2*t^3.45 + t^3.64 + t^4.36 + 4*t^4.54 + 6*t^4.73 + 4*t^4.91 + 4*t^5.1 + 2*t^5.28 + t^5.46 + 3*t^5.63 + 4*t^5.82 + 2*t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46638 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ | 0.6485 | 0.8133 | 0.7973 | [X:[], M:[0.8791, 1.2198, 0.7802, 0.6813], q:[0.6813, 0.4396], qb:[0.3407, 0.7802], phi:[0.4396]] | t^2.04 + t^2.34 + 2*t^2.64 + t^3.07 + 2*t^3.36 + 2*t^3.66 + t^4.09 + 3*t^4.38 + 4*t^4.68 + t^4.98 + t^5.11 + 2*t^5.27 + 4*t^5.41 + 5*t^5.7 + 2*t^6. - t^4.32/y - t^4.32*y | detail |