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 |
|---|---|---|---|---|---|---|---|---|---|
| 46238 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ | 0.6675 | 0.8146 | 0.8195 | [X:[], M:[0.9667, 0.9917, 1.1204, 0.7676], q:[0.581, 0.4523], qb:[0.4273, 0.7801], phi:[0.4398]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [1, 3]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_2M_4$, $ \phi_1^4$, $ M_3M_4$, $ M_1^2$, $ M_1M_2$, $ M_2^2$ | . | -2 | t^2.3 + t^2.64 + t^2.9 + t^2.98 + t^3.36 + t^3.62 + t^3.88 + t^3.96 + t^4.03 + t^4.08 + t^4.34 + t^4.42 + t^4.61 + t^4.81 + t^4.94 + t^5.2 + 2*t^5.28 + t^5.66 + t^5.8 + t^5.88 + t^5.95 - 2*t^6. - t^6.08 + t^6.19 + 2*t^6.26 + t^6.34 - t^6.46 + 2*t^6.52 + t^6.6 + t^6.65 + t^6.67 + t^6.72 + t^6.78 + t^6.86 + t^6.91 + t^6.93 + t^6.98 + t^7.01 + t^7.11 + 2*t^7.24 + t^7.44 + 2*t^7.51 + 2*t^7.58 + t^7.71 + t^7.77 + t^7.84 + 2*t^7.92 + 2*t^7.97 + t^7.99 + t^8.07 + t^8.1 + t^8.17 + t^8.18 + t^8.23 + t^8.25 - 2*t^8.3 - t^8.38 + t^8.43 + t^8.45 + t^8.49 + t^8.56 - t^8.64 + t^8.69 + t^8.7 - t^8.71 - t^8.76 + t^8.78 + t^8.83 + t^8.84 + t^8.85 + t^8.89 - 2*t^8.9 + t^8.93 + t^8.95 - 3*t^8.98 - t^4.32/y - t^6.62/y - t^7.22/y - t^7.29/y + t^7.34/y + t^7.42/y + t^7.94/y + t^8.02/y + t^8.2/y + t^8.28/y + t^8.54/y + t^8.61/y + t^8.66/y + t^8.88/y - t^4.32*y - t^6.62*y - t^7.22*y - t^7.29*y + t^7.34*y + t^7.42*y + t^7.94*y + t^8.02*y + t^8.2*y + t^8.28*y + t^8.54*y + t^8.61*y + t^8.66*y + t^8.88*y | g1*g2^3*t^2.3 + t^2.64/g2^4 + (g1*t^2.9)/g2^7 + t^2.98/(g1*g2^11) + g2^4*t^3.36 + g1*g2*t^3.62 + (g1^2*t^3.88)/g2^2 + t^3.96/g2^6 + t^4.03/(g1^2*g2^10) + g2^12*t^4.08 + g1*g2^9*t^4.34 + (g2^5*t^4.42)/g1 + g1^2*g2^6*t^4.61 + g2^20*t^4.81 + (g1*t^4.94)/g2 + (g1^2*t^5.2)/g2^4 + (2*t^5.28)/g2^8 + g1*g2^7*t^5.66 + (g1^2*t^5.8)/g2^14 + t^5.88/g2^18 + t^5.95/(g1^2*g2^22) - 2*t^6. - t^6.08/(g1^2*g2^4) + g1^3*g2*t^6.19 + (2*g1*t^6.26)/g2^3 + t^6.34/(g1*g2^7) - (g2^11*t^6.46)/g1 + (2*g1^2*t^6.52)/g2^6 + t^6.6/g2^10 + g1^2*g2^12*t^6.65 + t^6.67/(g1^2*g2^14) + g2^8*t^6.72 + (g1^3*t^6.78)/g2^9 + (g1*t^6.86)/g2^13 + g1^3*g2^9*t^6.91 + t^6.93/(g1*g2^17) + g1*g2^5*t^6.98 + t^7.01/(g1^3*g2^21) + g1*g2^23*t^7.11 + 2*g1^2*g2^2*t^7.24 + g2^16*t^7.44 + (2*g1^3*t^7.51)/g2 + (2*g1*t^7.58)/g2^5 + g1*g2^13*t^7.71 + (g1^4*t^7.77)/g2^4 + (g1^2*t^7.84)/g2^8 + (2*t^7.92)/g2^12 + 2*g1^2*g2^10*t^7.97 + t^7.99/(g1^2*g2^16) + t^8.07/(g1^4*g2^20) + (g1^3*t^8.1)/g2^11 + g2^24*t^8.17 + (g1*t^8.18)/g2^15 + g1^3*g2^7*t^8.23 + t^8.25/(g1*g2^19) - 2*g1*g2^3*t^8.3 - t^8.38/(g1*g2) + g1*g2^21*t^8.43 + t^8.45/(g1^3*g2^5) + g1^4*g2^4*t^8.49 + g1^2*t^8.56 - t^8.64/g2^4 + g1^2*g2^18*t^8.69 + (g1^3*t^8.7)/g2^21 - t^8.71/(g1^2*g2^8) - g2^14*t^8.76 + (g1*t^8.78)/g2^25 + (g1^3*t^8.83)/g2^3 + (g2^10*t^8.84)/g1^2 + t^8.85/(g1*g2^29) + g2^32*t^8.89 - (2*g1*t^8.9)/g2^7 + t^8.93/(g1^3*g2^33) + g1^3*g2^15*t^8.95 - (3*t^8.98)/(g1*g2^11) - t^4.32/(g2^2*y) - (g1*g2*t^6.62)/y - (g1*t^7.22)/(g2^9*y) - t^7.29/(g1*g2^13*y) + (g1*g2^9*t^7.34)/y + (g2^5*t^7.42)/(g1*y) + (g1*t^7.94)/(g2*y) + t^8.02/(g1*g2^5*y) + (g1^2*t^8.2)/(g2^4*y) + t^8.28/(g2^8*y) + (g1*t^8.54)/(g2^11*y) + t^8.61/(g1*g2^15*y) + (g1*g2^7*t^8.66)/y + t^8.88/(g2^18*y) - (t^4.32*y)/g2^2 - g1*g2*t^6.62*y - (g1*t^7.22*y)/g2^9 - (t^7.29*y)/(g1*g2^13) + g1*g2^9*t^7.34*y + (g2^5*t^7.42*y)/g1 + (g1*t^7.94*y)/g2 + (t^8.02*y)/(g1*g2^5) + (g1^2*t^8.2*y)/g2^4 + (t^8.28*y)/g2^8 + (g1*t^8.54*y)/g2^11 + (t^8.61*y)/(g1*g2^15) + g1*g2^7*t^8.66*y + (t^8.88*y)/g2^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46796 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ | 0.6412 | 0.7805 | 0.8216 | [X:[], M:[1.1407, 0.9659, 1.0874, 0.8593], q:[0.4904, 0.3689], qb:[0.5437, 0.7719], phi:[0.4563]] | t^2.58 + t^2.74 + t^2.9 + t^3.26 + t^3.42 + t^3.58 + t^3.79 + 2*t^3.95 + t^4.11 + t^4.31 + t^4.47 + t^4.63 + t^5.16 + t^5.32 + t^5.48 + t^5.8 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 46565 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6881 | 0.854 | 0.8057 | [X:[], M:[0.9764, 0.989, 1.1188, 0.7734, 0.6908], q:[0.5767, 0.4469], qb:[0.4343, 0.7797], phi:[0.4406]] | t^2.07 + t^2.32 + t^2.64 + t^2.93 + t^2.97 + t^3.36 + t^3.64 + t^3.97 + t^4. + t^4.07 + t^4.14 + t^4.35 + 2*t^4.39 + t^4.64 + t^4.72 + t^4.78 + t^4.96 + t^5. + t^5.04 + t^5.25 + 2*t^5.29 + t^5.43 + t^5.68 + t^5.71 + t^5.86 + t^5.9 + t^5.93 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 46579 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6848 | 0.8448 | 0.8106 | [X:[], M:[0.9816, 0.9816, 1.1193, 0.7798, 0.7798], q:[0.578, 0.4404], qb:[0.4404, 0.7798], phi:[0.4404]] | 2*t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + 3*t^3.96 + t^4.07 + 2*t^4.38 + 3*t^4.68 + t^4.79 + 2*t^4.98 + 5*t^5.28 + 2*t^5.7 + 3*t^5.89 - 4*t^6. - t^4.32/y - t^4.32*y | detail | |
| 46782 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ \phi_1q_1^2$ | 0.6304 | 0.7811 | 0.807 | [X:[], M:[0.7882, 0.8118, 1.2, 0.7882], q:[0.8, 0.4118], qb:[0.3882, 0.8], phi:[0.4]] | 2*t^2.36 + t^2.4 + t^2.44 + t^3.53 + t^3.56 + 2*t^3.6 + t^3.67 + 3*t^4.73 + 2*t^4.76 + 4*t^4.8 + t^4.84 + t^4.87 + 2*t^5.89 + 2*t^5.93 + 4*t^5.96 - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45948 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ | 0.6496 | 0.7822 | 0.8305 | [X:[], M:[0.9769, 0.9769, 1.1214], q:[0.5838, 0.4393], qb:[0.4393, 0.7803], phi:[0.4393]] | t^2.64 + 2*t^2.93 + t^3.36 + 2*t^3.66 + 3*t^3.95 + t^4.09 + 2*t^4.39 + t^4.82 + t^5.27 + 3*t^5.86 - 4*t^6. - t^4.32/y - t^4.32*y | detail |