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 |
|---|---|---|---|---|---|---|---|---|---|
| 1057 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ | 0.7165 | 0.904 | 0.7926 | [X:[], M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0], [-1, -1], [3, 1]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_6^2$, $ M_7^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_5^2$, $ M_1M_6$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_6$, $ M_1M_7$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$ | -3 | t^2.06 + 2*t^2.34 + 2*t^2.63 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.4 + 5*t^4.69 + t^4.87 + 6*t^4.97 + 7*t^5.25 + 2*t^5.54 + 3*t^5.82 - 3*t^6. + 2*t^6.18 + 2*t^6.28 + 4*t^6.46 + 3*t^6.57 + 9*t^6.75 + 2*t^6.85 + t^6.93 + 12*t^7.03 + 2*t^7.21 + 10*t^7.31 + t^7.49 + 12*t^7.6 - 2*t^7.78 + 13*t^7.88 - 5*t^8.06 + 8*t^8.16 + 2*t^8.24 - 8*t^8.34 + 3*t^8.45 + 4*t^8.52 - 5*t^8.63 + 4*t^8.73 + 9*t^8.81 - 4*t^8.91 + 2*t^8.99 - t^4.31/y - t^6.37/y - (2*t^6.66)/y - t^6.94/y - (2*t^7.22)/y + (4*t^7.4)/y + (4*t^7.69)/y + (8*t^7.97)/y + (6*t^8.25)/y - t^8.43/y + (4*t^8.54)/y - (2*t^8.72)/y + t^8.82/y - t^4.31*y - t^6.37*y - 2*t^6.66*y - t^6.94*y - 2*t^7.22*y + 4*t^7.4*y + 4*t^7.69*y + 8*t^7.97*y + 6*t^8.25*y - t^8.43*y + 4*t^8.54*y - 2*t^8.72*y + t^8.82*y | g1^6*t^2.06 + t^2.34/(g1*g2) + g1^3*g2*t^2.34 + (2*t^2.63)/g1^4 + t^2.91/(g1^11*g2) + (g2*t^2.91)/g1^7 + t^3.94/(g1^10*g2^2) + (g2^2*t^3.94)/g1^2 + 2*g1^12*t^4.12 + (2*g1^5*t^4.4)/g2 + 2*g1^9*g2*t^4.4 + 3*g1^2*t^4.69 + t^4.69/(g1^2*g2^2) + g1^6*g2^2*t^4.69 + g1^20*t^4.87 + (3*t^4.97)/(g1^5*g2) + (3*g2*t^4.97)/g1 + (5*t^5.25)/g1^8 + t^5.25/(g1^12*g2^2) + (g2^2*t^5.25)/g1^4 + t^5.54/(g1^15*g2) + (g2*t^5.54)/g1^11 + t^5.82/g1^18 + t^5.82/(g1^22*g2^2) + (g2^2*t^5.82)/g1^14 - 3*t^6. + 2*g1^18*t^6.18 + t^6.28/(g1^11*g2^3) + g1*g2^3*t^6.28 + (2*g1^11*t^6.46)/g2 + 2*g1^15*g2*t^6.46 - t^6.57/g1^10 + (2*t^6.57)/(g1^14*g2^2) + (2*g2^2*t^6.57)/g1^6 + 5*g1^8*t^6.75 + (2*g1^4*t^6.75)/g2^2 + 2*g1^12*g2^2*t^6.75 + t^6.85/(g1^21*g2^3) + (g2^3*t^6.85)/g1^9 + g1^26*t^6.93 + t^7.03/(g1^3*g2^3) + (5*g1*t^7.03)/g2 + 5*g1^5*g2*t^7.03 + g1^9*g2^3*t^7.03 + (g1^19*t^7.21)/g2 + g1^23*g2*t^7.21 + (6*t^7.31)/g1^2 + (2*t^7.31)/(g1^6*g2^2) + 2*g1^2*g2^2*t^7.31 + g1^16*t^7.49 + t^7.6/(g1^13*g2^3) + (5*t^7.6)/(g1^9*g2) + (5*g2*t^7.6)/g1^5 + (g2^3*t^7.6)/g1 - (g1^9*t^7.78)/g2 - g1^13*g2*t^7.78 + (7*t^7.88)/g1^12 + t^7.88/(g1^20*g2^4) + (2*t^7.88)/(g1^16*g2^2) + (2*g2^2*t^7.88)/g1^8 + (g2^4*t^7.88)/g1^4 - 5*g1^6*t^8.06 + t^8.16/(g1^23*g2^3) + (3*t^8.16)/(g1^19*g2) + (3*g2*t^8.16)/g1^15 + (g2^3*t^8.16)/g1^11 + 2*g1^24*t^8.24 + t^8.34/(g1^5*g2^3) - (5*t^8.34)/(g1*g2) - 5*g1^3*g2*t^8.34 + g1^7*g2^3*t^8.34 + t^8.45/g1^22 + t^8.45/(g1^26*g2^2) + (g2^2*t^8.45)/g1^18 + (2*g1^17*t^8.52)/g2 + 2*g1^21*g2*t^8.52 - (7*t^8.63)/g1^4 + t^8.63/(g1^12*g2^4) + g1^4*g2^4*t^8.63 + t^8.73/(g1^33*g2^3) + t^8.73/(g1^29*g2) + (g2*t^8.73)/g1^25 + (g2^3*t^8.73)/g1^21 + 3*g1^14*t^8.81 + (3*g1^10*t^8.81)/g2^2 + 3*g1^18*g2^2*t^8.81 + (2*t^8.91)/(g1^15*g2^3) - (4*t^8.91)/(g1^11*g2) - (4*g2*t^8.91)/g1^7 + (2*g2^3*t^8.91)/g1^3 + 2*g1^32*t^8.99 - t^4.31/(g1^2*y) - (g1^4*t^6.37)/y - t^6.66/(g1^3*g2*y) - (g1*g2*t^6.66)/y - t^6.94/(g1^6*y) - t^7.22/(g1^13*g2*y) - (g2*t^7.22)/(g1^9*y) + (2*g1^5*t^7.4)/(g2*y) + (2*g1^9*g2*t^7.4)/y + (4*g1^2*t^7.69)/y + (4*t^7.97)/(g1^5*g2*y) + (4*g2*t^7.97)/(g1*y) + (4*t^8.25)/(g1^8*y) + t^8.25/(g1^12*g2^2*y) + (g2^2*t^8.25)/(g1^4*y) - (g1^10*t^8.43)/y + (2*t^8.54)/(g1^15*g2*y) + (2*g2*t^8.54)/(g1^11*y) - (g1^3*t^8.72)/(g2*y) - (g1^7*g2*t^8.72)/y + t^8.82/(g1^18*y) - (t^4.31*y)/g1^2 - g1^4*t^6.37*y - (t^6.66*y)/(g1^3*g2) - g1*g2*t^6.66*y - (t^6.94*y)/g1^6 - (t^7.22*y)/(g1^13*g2) - (g2*t^7.22*y)/g1^9 + (2*g1^5*t^7.4*y)/g2 + 2*g1^9*g2*t^7.4*y + 4*g1^2*t^7.69*y + (4*t^7.97*y)/(g1^5*g2) + (4*g2*t^7.97*y)/g1 + (4*t^8.25*y)/g1^8 + (t^8.25*y)/(g1^12*g2^2) + (g2^2*t^8.25*y)/g1^4 - g1^10*t^8.43*y + (2*t^8.54*y)/(g1^15*g2) + (2*g2*t^8.54*y)/g1^11 - (g1^3*t^8.72*y)/g2 - g1^7*g2*t^8.72*y + (t^8.82*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1645 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ + $ M_8\phi_1q_2^2$ | 0.7373 | 0.9448 | 0.7803 | [X:[], M:[0.9688, 1.1236, 0.9748, 0.6855, 0.8764, 0.7839, 0.7779, 0.6794], q:[0.7809, 0.4412], qb:[0.59, 0.4351], phi:[0.4382]] | t^2.04 + t^2.06 + t^2.33 + t^2.35 + 2*t^2.63 + t^2.91 + t^2.92 + t^3.93 + t^4.08 + t^4.09 + 2*t^4.11 + t^4.37 + 3*t^4.39 + 2*t^4.41 + 3*t^4.67 + 3*t^4.69 + t^4.7 + t^4.85 + t^4.94 + 4*t^4.96 + 3*t^4.98 + t^5.24 + 5*t^5.26 + t^5.28 + t^5.54 + t^5.55 + t^5.81 + t^5.83 + t^5.85 + t^5.96 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 662 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6993 | 0.8739 | 0.8002 | [X:[], M:[0.9803, 1.1254, 0.9554, 0.6881, 0.8746, 0.7689], q:[0.7813, 0.4248], qb:[0.5948, 0.4498], phi:[0.4373]] | t^2.06 + t^2.31 + 2*t^2.62 + t^2.87 + t^2.94 + t^3.62 + t^3.86 + t^4.01 + 2*t^4.13 + 2*t^4.37 + t^4.45 + t^4.61 + 2*t^4.69 + t^4.88 + 3*t^4.93 + t^5.01 + t^5.17 + 4*t^5.25 + t^5.49 + t^5.56 + t^5.68 + t^5.73 + t^5.81 + t^5.88 + t^5.93 - 3*t^6. - t^4.31/y - t^4.31*y | detail |