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 |
|---|---|---|---|---|---|---|---|---|---|
| 367 | 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_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]] | [X:[], M:[[1, -1], [-1, -3], [-1, 1], [1, -5]], q:[[0, -1], [-1, 2]], qb:[[1, 0], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_2M_4$, $ M_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_3\phi_1^2$ | $M_1^2$, $ M_3^2$, $ \phi_1^2q_1\tilde{q}_2$ | -1 | 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. + 2*t^6.42 + t^6.62 + 4*t^6.73 + 8*t^7.04 + 4*t^7.15 + 7*t^7.35 + 3*t^7.46 + 6*t^7.65 + 6*t^7.77 + 3*t^7.96 + 4*t^8.08 - 2*t^8.38 - 2*t^8.69 + 3*t^8.81 - t^4.35/y - (2*t^6.73)/y - t^7.04/y + t^7.65/y + t^7.77/y + (2*t^7.96)/y + (2*t^8.08)/y + (4*t^8.38)/y + (6*t^8.69)/y - t^4.35*y - 2*t^6.73*y - t^7.04*y + t^7.65*y + t^7.77*y + 2*t^7.96*y + 2*t^8.08*y + 4*t^8.38*y + 6*t^8.69*y | (g1*t^2.38)/g2^5 + t^2.38/(g1*g2^3) + t^2.69/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + 2*g2^2*t^3.31 + t^4.04/g2^3 + t^4.35/g1 + (g1*t^4.35)/g2^2 + (g1^2*t^4.65)/g2 + 2*g2*t^4.65 + (g2^3*t^4.65)/g1^2 + (g1^2*t^4.77)/g2^10 + t^4.77/g2^8 + t^4.77/(g1^2*g2^6) + g1*g2^2*t^4.96 + (g2^4*t^4.96)/g1 + (g1*t^5.08)/g2^7 + t^5.08/(g1*g2^5) + g2^5*t^5.27 + (g1^2*t^5.38)/g2^6 + (2*t^5.38)/g2^4 + t^5.38/(g1^2*g2^2) + (g1*t^5.69)/g2^3 + t^5.69/(g1*g2) - t^6. + (g1*t^6.42)/g2^8 + t^6.42/(g1*g2^6) + g2^4*t^6.62 + (g1^2*t^6.73)/g2^7 + (2*t^6.73)/g2^5 + t^6.73/(g1^2*g2^3) + t^7.04/g1^3 + (g1^3*t^7.04)/g2^6 + (3*g1*t^7.04)/g2^4 + (3*t^7.04)/(g1*g2^2) + (g1^3*t^7.15)/g2^15 + (g1*t^7.15)/g2^13 + t^7.15/(g1*g2^11) + t^7.15/(g1^3*g2^9) + (2*g1^2*t^7.35)/g2^3 + (3*t^7.35)/g2 + (2*g2*t^7.35)/g1^2 + (g1^2*t^7.46)/g2^12 + t^7.46/g2^10 + t^7.46/(g1^2*g2^8) + 2*g1*t^7.65 + (g1^3*t^7.65)/g2^2 + (2*g2^2*t^7.65)/g1 + (g2^4*t^7.65)/g1^3 + (g1^3*t^7.77)/g2^11 + (2*g1*t^7.77)/g2^9 + (2*t^7.77)/(g1*g2^7) + t^7.77/(g1^3*g2^5) + g1^2*g2*t^7.96 + g2^3*t^7.96 + (g2^5*t^7.96)/g1^2 + (g1^2*t^8.08)/g2^8 + (2*t^8.08)/g2^6 + t^8.08/(g1^2*g2^4) - (g1*t^8.38)/g2^5 - t^8.38/(g1*g2^3) - (2*t^8.69)/g2^2 + (g1^2*t^8.81)/g2^13 + t^8.81/g2^11 + t^8.81/(g1^2*g2^9) - t^4.35/(g2*y) - (g1*t^6.73)/(g2^6*y) - t^6.73/(g1*g2^4*y) - t^7.04/(g2^3*y) + (g2*t^7.65)/y + t^7.77/(g2^8*y) + (g1*g2^2*t^7.96)/y + (g2^4*t^7.96)/(g1*y) + (g1*t^8.08)/(g2^7*y) + t^8.08/(g1*g2^5*y) + (g1^2*t^8.38)/(g2^6*y) + (2*t^8.38)/(g2^4*y) + t^8.38/(g1^2*g2^2*y) + (3*g1*t^8.69)/(g2^3*y) + (3*t^8.69)/(g1*g2*y) - (t^4.35*y)/g2 - (g1*t^6.73*y)/g2^6 - (t^6.73*y)/(g1*g2^4) - (t^7.04*y)/g2^3 + g2*t^7.65*y + (t^7.77*y)/g2^8 + g1*g2^2*t^7.96*y + (g2^4*t^7.96*y)/g1 + (g1*t^8.08*y)/g2^7 + (t^8.08*y)/(g1*g2^5) + (g1^2*t^8.38*y)/g2^6 + (2*t^8.38*y)/g2^4 + (t^8.38*y)/(g1^2*g2^2) + (3*g1*t^8.69*y)/g2^3 + (3*t^8.69*y)/(g1*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 585 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.7183 | 0.8774 | 0.8187 | [X:[], M:[1.0, 0.8187, 1.0, 0.8187, 1.0906], q:[0.4547, 0.5453], qb:[0.5453, 0.6359], phi:[0.4547]] | 2*t^2.46 + 2*t^3. + 3*t^3.27 + t^4.09 + 2*t^4.36 + 4*t^4.64 + 5*t^4.91 + t^5.18 + 3*t^5.46 + 2*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail | |
| 1828 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ | 0.6208 | 0.7591 | 0.8178 | [X:[1.509], M:[0.787, 0.917, 1.213, 0.491], q:[0.426, 0.787], qb:[0.361, 0.722], phi:[0.426]] | t^2.36 + t^2.56 + t^2.75 + 3*t^3.44 + 2*t^3.64 + t^3.83 + 2*t^4.53 + 2*t^4.72 + t^5.11 + t^5.31 + t^5.5 + t^5.61 + 2*t^5.81 + t^6. - t^4.28/y - t^4.28*y | detail | |
| 1827 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ | 0.6202 | 0.7595 | 0.8166 | [X:[1.6143], M:[1.1571, 0.3857, 0.8429, 0.6998], q:[0.3857, 0.4573], qb:[0.7714, 0.8429], phi:[0.3857]] | t^2.1 + t^2.31 + t^2.53 + 2*t^3.47 + 3*t^3.69 + t^3.9 + t^4.2 + t^4.41 + 2*t^4.63 + 2*t^4.84 + t^5.06 + 2*t^5.57 + 3*t^5.79 + t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 228 | 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_1M_3$ | 0.7272 | 0.8931 | 0.8142 | [X:[], M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] | 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. - t^4.35/y - t^4.35*y | detail |