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 |
|---|---|---|---|---|---|---|---|---|---|
| 1776 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6297 | 0.8172 | 0.7705 | [X:[], M:[1.0, 1.047, 0.906, 0.7326, 0.6969], q:[0.7617, 0.2383], qb:[0.5526, 0.5414], phi:[0.4765]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_5$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_1M_5$, $ M_1M_4$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_2q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2^4$, $ M_2M_3$, $ M_5\phi_1q_2\tilde{q}_2$ | . | -2 | t^2.09 + t^2.2 + t^2.34 + t^2.37 + t^2.72 + t^2.86 + t^3. + t^3.14 + t^3.77 + t^3.94 + t^4.18 + t^4.29 + t^4.4 + t^4.43 + t^4.46 + t^4.54 + t^4.57 + 2*t^4.68 + 2*t^4.71 + 2*t^4.75 + t^4.81 + t^4.92 + t^4.95 + t^5.06 + t^5.09 + 2*t^5.2 + 2*t^5.23 + 2*t^5.34 + t^5.37 + t^5.44 + t^5.48 + t^5.51 + t^5.58 + 2*t^5.72 + 2*t^5.86 - 2*t^6. + t^6.11 + 2*t^6.14 + t^6.27 + t^6.28 + t^6.32 + t^6.38 + t^6.49 + t^6.55 + t^6.59 + t^6.63 + t^6.66 + t^6.73 + 2*t^6.77 + t^6.8 + 2*t^6.84 + 2*t^6.88 + t^6.9 + t^6.91 + t^6.94 + t^7.01 + 2*t^7.02 + t^7.04 + 2*t^7.05 + 3*t^7.08 + t^7.11 + 2*t^7.12 + t^7.15 + t^7.18 + t^7.25 + 2*t^7.29 + 2*t^7.32 + 2*t^7.4 + t^7.43 + t^7.46 + t^7.53 + 4*t^7.54 + t^7.57 + 2*t^7.6 + t^7.63 + t^7.67 + 2*t^7.68 + 2*t^7.71 + t^7.75 + t^7.77 + 2*t^7.81 + t^7.82 + t^7.85 + 2*t^7.89 + 2*t^7.92 + 2*t^7.95 + 2*t^8.06 - t^8.09 + t^8.15 - t^8.2 + t^8.23 + t^8.3 - 2*t^8.34 + t^8.36 - 3*t^8.37 + 2*t^8.44 + 2*t^8.45 + t^8.47 + t^8.48 + t^8.51 + 3*t^8.58 + t^8.62 + t^8.64 + t^8.65 + t^8.68 + 2*t^8.69 - t^8.72 + t^8.75 + t^8.79 - t^8.86 + 3*t^8.93 + 2*t^8.97 + t^8.99 - t^4.43/y - t^6.52/y - t^6.63/y - t^7.15/y + t^7.29/y + t^7.43/y + t^7.46/y + t^7.54/y + t^7.57/y + (2*t^7.71)/y + t^7.81/y + t^7.92/y + t^7.95/y + (2*t^8.06)/y + (2*t^8.09)/y + (2*t^8.2)/y + (3*t^8.23)/y + (3*t^8.34)/y + t^8.37/y + t^8.48/y + t^8.51/y + t^8.58/y - t^8.61/y - t^8.83/y + (3*t^8.86)/y + t^8.97/y - t^4.43*y - t^6.52*y - t^6.63*y - t^7.15*y + t^7.29*y + t^7.43*y + t^7.46*y + t^7.54*y + t^7.57*y + 2*t^7.71*y + t^7.81*y + t^7.92*y + t^7.95*y + 2*t^8.06*y + 2*t^8.09*y + 2*t^8.2*y + 3*t^8.23*y + 3*t^8.34*y + t^8.37*y + t^8.48*y + t^8.51*y + t^8.58*y - t^8.61*y - t^8.83*y + 3*t^8.86*y + t^8.97*y | t^2.09/(g1*g2^9) + (g2^3*t^2.2)/g1^5 + (g2^7*t^2.34)/g1 + (g1^7*t^2.37)/g2 + t^2.72/(g1^8*g2^8) + t^2.86/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.14 + (g2^5*t^3.77)/g1^3 + g1^9*g2*t^3.94 + t^4.18/(g1^2*g2^18) + t^4.29/(g1^6*g2^6) + (g2^6*t^4.4)/g1^10 + t^4.43/(g1^2*g2^2) + (g1^6*t^4.46)/g2^10 + (g2^10*t^4.54)/g1^6 + g1^2*g2^2*t^4.57 + (2*g2^14*t^4.68)/g1^2 + 2*g1^6*g2^6*t^4.71 + (2*g1^14*t^4.75)/g2^2 + t^4.81/(g1^9*g2^17) + t^4.92/(g1^13*g2^5) + t^4.95/(g1^5*g2^13) + t^5.06/(g1^9*g2) + t^5.09/(g1*g2^9) + (2*g2^3*t^5.2)/g1^5 + (2*g1^3*t^5.23)/g2^5 + (2*g2^7*t^5.34)/g1 + (g1^7*t^5.37)/g2 + t^5.44/(g1^16*g2^16) + g1^3*g2^11*t^5.48 + g1^11*g2^3*t^5.51 + t^5.58/(g1^12*g2^12) + (2*t^5.72)/(g1^8*g2^8) + (2*t^5.86)/(g1^4*g2^4) - 2*t^6. + (g2^12*t^6.11)/g1^4 + 2*g1^4*g2^4*t^6.14 + t^6.27/(g1^3*g2^27) + g1^8*g2^8*t^6.28 + g1^16*t^6.32 + t^6.38/(g1^7*g2^15) + t^6.49/(g1^11*g2^3) + (g1^5*t^6.55)/g2^19 + (g2^9*t^6.59)/g1^15 + (g2*t^6.63)/g1^7 + (g1*t^6.66)/g2^7 + (g2^13*t^6.73)/g1^11 + (2*g2^5*t^6.77)/g1^3 + (g1^5*t^6.8)/g2^3 + (2*g1^13*t^6.84)/g2^11 + (2*g2^17*t^6.88)/g1^7 + t^6.9/(g1^10*g2^26) + g1*g2^9*t^6.91 + g1^9*g2*t^6.94 + t^7.01/(g1^14*g2^14) + (2*g2^21*t^7.02)/g1^3 + t^7.04/(g1^6*g2^22) + 2*g1^5*g2^13*t^7.05 + 3*g1^13*g2^5*t^7.08 + t^7.11/(g1^18*g2^2) + (2*g1^21*t^7.12)/g2^3 + t^7.15/(g1^10*g2^10) + t^7.18/(g1^2*g2^18) + (g2^2*t^7.25)/g1^14 + (2*t^7.29)/(g1^6*g2^6) + (2*g1^2*t^7.32)/g2^14 + (2*g2^6*t^7.4)/g1^10 + t^7.43/(g1^2*g2^2) + (g1^6*t^7.46)/g2^10 + t^7.53/(g1^17*g2^25) + (4*g2^10*t^7.54)/g1^6 + g1^2*g2^2*t^7.57 + (2*g1^10*t^7.6)/g2^6 + t^7.63/(g1^21*g2^13) + t^7.67/(g1^13*g2^21) + (2*g2^14*t^7.68)/g1^2 + 2*g1^6*g2^6*t^7.71 + (g1^14*t^7.75)/g2^2 + t^7.77/(g1^17*g2^9) + (2*t^7.81)/(g1^9*g2^17) + g1^2*g2^18*t^7.82 + g1^10*g2^10*t^7.85 + 2*g1^18*g2^2*t^7.89 + (2*t^7.92)/(g1^13*g2^5) + (2*t^7.95)/(g1^5*g2^13) + (2*t^8.06)/(g1^9*g2) - t^8.09/(g1*g2^9) + t^8.15/(g1^24*g2^24) - (g2^3*t^8.2)/g1^5 + (g1^3*t^8.23)/g2^5 + t^8.3/(g1^20*g2^20) - (2*g2^7*t^8.34)/g1 + t^8.36/(g1^4*g2^36) - (3*g1^7*t^8.37)/g2 + (2*t^8.44)/(g1^16*g2^16) + (2*g2^19*t^8.45)/g1^5 + t^8.47/(g1^8*g2^24) + g1^3*g2^11*t^8.48 + g1^11*g2^3*t^8.51 + (3*t^8.58)/(g1^12*g2^12) + g1^7*g2^15*t^8.62 + (g1^4*t^8.64)/g2^28 + g1^15*g2^7*t^8.65 + t^8.68/g1^16 + (2*g1^23*t^8.69)/g2 - t^8.72/(g1^8*g2^8) + t^8.75/g2^16 + (g2^12*t^8.79)/g1^20 - t^8.86/(g1^4*g2^4) + (2*g1^12*t^8.93)/g2^20 + (g2^16*t^8.93)/g1^16 + (2*g2^8*t^8.97)/g1^8 + t^8.99/(g1^11*g2^35) - t^4.43/(g1^2*g2^2*y) - t^6.52/(g1^3*g2^11*y) - (g2*t^6.63)/(g1^7*y) - t^7.15/(g1^10*g2^10*y) + t^7.29/(g1^6*g2^6*y) + t^7.43/(g1^2*g2^2*y) + (g1^6*t^7.46)/(g2^10*y) + (g2^10*t^7.54)/(g1^6*y) + (g1^2*g2^2*t^7.57)/y + (2*g1^6*g2^6*t^7.71)/y + t^7.81/(g1^9*g2^17*y) + t^7.92/(g1^13*g2^5*y) + t^7.95/(g1^5*g2^13*y) + (2*t^8.06)/(g1^9*g2*y) + (2*t^8.09)/(g1*g2^9*y) + (2*g2^3*t^8.2)/(g1^5*y) + (3*g1^3*t^8.23)/(g2^5*y) + (3*g2^7*t^8.34)/(g1*y) + (g1^7*t^8.37)/(g2*y) + (g1^3*g2^11*t^8.48)/y + (g1^11*g2^3*t^8.51)/y + t^8.58/(g1^12*g2^12*y) - t^8.61/(g1^4*g2^20*y) - (g2^4*t^8.83)/(g1^12*y) + (3*t^8.86)/(g1^4*g2^4*y) + (g2^8*t^8.97)/(g1^8*y) - (t^4.43*y)/(g1^2*g2^2) - (t^6.52*y)/(g1^3*g2^11) - (g2*t^6.63*y)/g1^7 - (t^7.15*y)/(g1^10*g2^10) + (t^7.29*y)/(g1^6*g2^6) + (t^7.43*y)/(g1^2*g2^2) + (g1^6*t^7.46*y)/g2^10 + (g2^10*t^7.54*y)/g1^6 + g1^2*g2^2*t^7.57*y + 2*g1^6*g2^6*t^7.71*y + (t^7.81*y)/(g1^9*g2^17) + (t^7.92*y)/(g1^13*g2^5) + (t^7.95*y)/(g1^5*g2^13) + (2*t^8.06*y)/(g1^9*g2) + (2*t^8.09*y)/(g1*g2^9) + (2*g2^3*t^8.2*y)/g1^5 + (3*g1^3*t^8.23*y)/g2^5 + (3*g2^7*t^8.34*y)/g1 + (g1^7*t^8.37*y)/g2 + g1^3*g2^11*t^8.48*y + g1^11*g2^3*t^8.51*y + (t^8.58*y)/(g1^12*g2^12) - (t^8.61*y)/(g1^4*g2^20) - (g2^4*t^8.83*y)/g1^12 + (3*t^8.86*y)/(g1^4*g2^4) + (g2^8*t^8.97*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2778 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_6$ | 0.6243 | 0.8105 | 0.7702 | [X:[], M:[1.0, 1.0103, 0.9794, 0.7464, 0.7382, 1.0206], q:[0.7526, 0.2474], qb:[0.5114, 0.5092], phi:[0.4948]] | t^2.21 + t^2.24 + t^2.27 + t^2.28 + t^2.97 + t^3. + t^3.03 + t^3.06 + t^3.75 + t^3.79 + t^4.43 + t^4.45 + 2*t^4.48 + t^4.49 + t^4.51 + t^4.52 + 2*t^4.54 + 4*t^4.55 + t^5.18 + 2*t^5.24 + 2*t^5.25 + 2*t^5.27 + 2*t^5.28 + 2*t^5.3 + t^5.31 + t^5.33 + t^5.34 + t^5.94 + t^5.97 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 2779 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6504 | 0.8579 | 0.7582 | [X:[], M:[1.0, 1.0491, 0.9019, 0.7299, 0.6965, 0.6808], q:[0.7623, 0.2377], qb:[0.5569, 0.5412], phi:[0.4755]] | t^2.04 + t^2.09 + t^2.19 + t^2.34 + t^2.38 + t^2.71 + t^2.85 + t^3. + t^3.15 + t^3.76 + t^4.08 + t^4.13 + t^4.18 + t^4.23 + t^4.28 + 2*t^4.38 + 2*t^4.43 + t^4.47 + t^4.53 + t^4.57 + 2*t^4.67 + 2*t^4.72 + t^4.75 + 2*t^4.77 + t^4.8 + 2*t^4.9 + t^4.94 + 2*t^5.04 + t^5.09 + 3*t^5.19 + 2*t^5.24 + 2*t^5.34 + t^5.38 + t^5.41 + t^5.48 + t^5.53 + t^5.56 + 2*t^5.71 + t^5.81 + 2*t^5.85 - 2*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 334 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6092 | 0.7784 | 0.7826 | [X:[], M:[1.0, 1.0424, 0.9152, 0.7291], q:[0.7606, 0.2394], qb:[0.5527, 0.5321], phi:[0.4788]] | t^2.19 + t^2.31 + t^2.38 + t^2.75 + t^2.87 + t^3. + t^3.13 + t^3.75 + t^3.88 + t^3.94 + t^4.37 + t^4.5 + t^4.56 + 2*t^4.63 + 2*t^4.69 + 2*t^4.75 + t^4.93 + t^5.06 + 2*t^5.19 + t^5.25 + 2*t^5.31 + t^5.38 + t^5.44 + t^5.49 + t^5.5 + t^5.62 + 2*t^5.75 + t^5.87 - 2*t^6. - t^4.44/y - t^4.44*y | detail |