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 |
---|---|---|---|---|---|---|---|---|---|
57493 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4958 | 1.7274 | 0.8659 | [X:[], M:[0.9861, 0.6877], q:[0.4952, 0.4907], qb:[0.5071, 0.4792], phi:[0.338]] | [X:[], M:[[0, -3, 3], [1, 11, -5]], q:[[-1, -12, 0], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, 1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.03 + t^2.06 + t^2.91 + t^2.92 + t^2.96 + t^2.99 + t^3.01 + t^3.92 + t^4.01 + t^4.02 + t^4.06 + t^4.09 + t^4.13 + 2*t^4.94 + 2*t^4.95 + t^4.97 + 2*t^4.99 + 3*t^5.02 + 2*t^5.03 + t^5.06 + t^5.07 + t^5.41 + t^5.44 + t^5.46 + t^5.49 + t^5.82 + t^5.83 + t^5.85 + t^5.87 + t^5.88 + t^5.9 + 2*t^5.92 + t^5.93 + 2*t^5.95 + t^5.96 + t^5.99 - 3*t^6. + t^6.04 + t^6.05 + t^6.07 + t^6.08 + t^6.12 + t^6.15 + t^6.19 + t^6.42 + t^6.46 + t^6.47 + t^6.51 + t^6.83 + t^6.85 + t^6.88 + 2*t^6.92 + 2*t^6.93 + t^6.94 + 3*t^6.97 + 3*t^6.98 + 2*t^7. + 2*t^7.01 + t^7.04 + 4*t^7.05 + 2*t^7.06 + 3*t^7.08 + t^7.1 + t^7.12 + t^7.13 + t^7.35 + t^7.44 + t^7.46 + 2*t^7.47 + 2*t^7.48 - t^7.49 + t^7.5 + t^7.51 + 2*t^7.52 + t^7.56 + t^7.61 + 3*t^7.85 + 3*t^7.86 + 2*t^7.87 + t^7.88 + 2*t^7.9 + 2*t^7.91 + 5*t^7.93 + 6*t^7.94 + 3*t^7.96 + t^7.97 + 4*t^7.98 + 2*t^7.99 + 3*t^8.01 - t^8.03 + t^8.04 + t^8.05 - 2*t^8.06 + t^8.08 + t^8.1 + t^8.13 + t^8.15 + t^8.18 + t^8.22 + t^8.25 + t^8.32 + t^8.33 + t^8.35 + 3*t^8.37 + t^8.38 + 2*t^8.4 + 2*t^8.42 + 2*t^8.45 + t^8.49 - t^8.53 + t^8.54 - t^8.55 - t^8.58 + t^8.73 + t^8.74 + t^8.76 + t^8.77 + t^8.78 + t^8.79 + t^8.8 + t^8.81 + 2*t^8.83 + 2*t^8.84 + t^8.85 + 3*t^8.86 + 4*t^8.87 + t^8.89 + t^8.9 - 2*t^8.91 - 4*t^8.92 + 5*t^8.94 + t^8.96 + 2*t^8.97 + 2*t^8.98 - t^4.01/y - t^5.03/y - t^6.04/y - t^6.08/y - t^6.92/y - t^6.94/y - t^6.97/y - t^7.01/y - t^7.02/y - t^7.06/y + t^7.95/y + t^7.97/y + (2*t^7.99)/y + t^8.02/y + t^8.06/y - t^8.1/y - t^8.14/y + t^8.83/y + t^8.87/y + t^8.88/y + t^8.9/y + (2*t^8.92)/y + t^8.93/y - t^4.01*y - t^5.03*y - t^6.04*y - t^6.08*y - t^6.92*y - t^6.94*y - t^6.97*y - t^7.01*y - t^7.02*y - t^7.06*y + t^7.95*y + t^7.97*y + 2*t^7.99*y + t^8.02*y + t^8.06*y - t^8.1*y - t^8.14*y + t^8.83*y + t^8.87*y + t^8.88*y + t^8.9*y + 2*t^8.92*y + t^8.93*y | (g2^2*t^2.03)/g3^2 + (g1*g2^11*t^2.06)/g3^5 + g1*g3^6*t^2.91 + (g3^6*t^2.92)/(g1*g2^12) + (g3^3*t^2.96)/g2^3 + g1*g2^6*t^2.99 + t^3.01/(g1*g2^6) + g1*g2*g3^5*t^3.92 + (g1*g2^7*t^4.01)/g3 + t^4.02/(g1*g2^5*g3) + (g2^4*t^4.06)/g3^4 + (g1*g2^13*t^4.09)/g3^7 + (g1^2*g2^22*t^4.13)/g3^10 + 2*g1*g2^2*g3^4*t^4.94 + (2*g3^4*t^4.95)/(g1*g2^10) + g1^2*g2^11*g3*t^4.97 + (2*g3*t^4.99)/g2 + (3*g1*g2^8*t^5.02)/g3^2 + (2*t^5.03)/(g1*g2^4*g3^2) + (g1^2*g2^17*t^5.06)/g3^5 + (g2^5*t^5.07)/g3^5 + g2^7*g3^11*t^5.41 + (g1*t^5.44)/(g2^11*g3) + t^5.46/(g1*g2^23*g3) + g2^13*g3^5*t^5.49 + g1^2*g3^12*t^5.82 + (g3^12*t^5.83)/g2^12 + (g3^12*t^5.85)/(g1^2*g2^24) + (g1*g3^9*t^5.87)/g2^3 + (g3^9*t^5.88)/(g1*g2^15) + g1^2*g2^6*g3^6*t^5.9 + (2*g3^6*t^5.92)/g2^6 + (g3^6*t^5.93)/(g1^2*g2^18) + 2*g1*g2^3*g3^3*t^5.95 + (g3^3*t^5.96)/(g1*g2^9) + g1^2*g2^12*t^5.99 - 3*t^6. + (g1*g2^9*t^6.04)/g3^3 + t^6.05/(g1*g2^3*g3^3) + (g1^2*g2^18*t^6.07)/g3^6 + (g2^6*t^6.08)/g3^6 + (g1*g2^15*t^6.12)/g3^9 + (g1^2*g2^24*t^6.15)/g3^12 + (g1^3*g2^33*t^6.19)/g3^15 + g2^8*g3^10*t^6.42 + (g1*t^6.46)/(g2^10*g3^2) + t^6.47/(g1*g2^22*g3^2) + g2^14*g3^4*t^6.51 + g1^2*g2*g3^11*t^6.83 + (g3^11*t^6.85)/g2^11 + (g1*g3^8*t^6.88)/g2^2 + 2*g1^2*g2^7*g3^5*t^6.92 + (2*g3^5*t^6.93)/g2^5 + (g3^5*t^6.94)/(g1^2*g2^17) + 3*g1*g2^4*g3^2*t^6.97 + (3*g3^2*t^6.98)/(g1*g2^8) + (2*g1^2*g2^13*t^7.)/g3 + (2*g2*t^7.01)/g3 + (g1^3*g2^22*t^7.04)/g3^4 + (4*g1*g2^10*t^7.05)/g3^4 + (2*t^7.06)/(g1*g2^2*g3^4) + (3*g1^2*g2^19*t^7.08)/g3^7 + (g2^7*t^7.1)/g3^7 + (g1^3*g2^28*t^7.12)/g3^10 + (g1*g2^16*t^7.13)/g3^10 + g2^3*g3^15*t^7.35 - t^7.44/g2^18 + 2*g2^9*g3^9*t^7.44 + (g1^3*g2^3*t^7.46)/g3^3 + (2*g1*t^7.47)/(g2^9*g3^3) + (2*t^7.48)/(g1*g2^21*g3^3) - (g2^6*g3^6*t^7.49)/g1 + t^7.5/(g1^3*g2^33*g3^3) + (g1^2*t^7.51)/g3^6 + 2*g2^15*g3^3*t^7.52 + g1*g2^24*t^7.56 + (g2^21*t^7.61)/g3^3 + 3*g1^2*g2^2*g3^10*t^7.85 + (3*g3^10*t^7.86)/g2^10 + (2*g3^10*t^7.87)/(g1^2*g2^22) + g1^3*g2^11*g3^7*t^7.88 + (2*g1*g3^7*t^7.9)/g2 + (2*g3^7*t^7.91)/(g1*g2^13) + 5*g1^2*g2^8*g3^4*t^7.93 + (6*g3^4*t^7.94)/g2^4 + (3*g3^4*t^7.96)/(g1^2*g2^16) + g1^3*g2^17*g3*t^7.97 + 4*g1*g2^5*g3*t^7.98 + (2*g3*t^7.99)/(g1*g2^7) + (3*g1^2*g2^14*t^8.01)/g3^2 - (g2^2*t^8.03)/g3^2 + t^8.04/(g1^2*g2^10*g3^2) + (g1^3*g2^23*t^8.05)/g3^5 - (2*g1*g2^11*t^8.06)/g3^5 + t^8.08/(g1*g2*g3^5) + (g1^2*g2^20*t^8.1)/g3^8 + (g1^3*g2^29*t^8.13)/g3^11 + (g1*g2^17*t^8.15)/g3^11 + (g1^2*g2^26*t^8.18)/g3^14 + (g1^3*g2^35*t^8.22)/g3^17 + (g1^4*g2^44*t^8.25)/g3^20 + g1*g2^7*g3^17*t^8.32 + (g3^17*t^8.33)/(g1*g2^5) + (g1^2*g3^5*t^8.35)/g2^11 + (2*g3^5*t^8.37)/g2^23 + g2^4*g3^14*t^8.37 + (g3^5*t^8.38)/(g1^2*g2^35) + (g1*g3^2*t^8.4)/g2^14 + g1*g2^13*g3^11*t^8.4 + (g3^2*t^8.42)/(g1*g2^26) + (g2*g3^11*t^8.42)/g1 + 2*g2^10*g3^8*t^8.45 + (g1*t^8.49)/(g2^8*g3^4) + t^8.5/(g1*g2^20*g3^4) - (g2^7*g3^5*t^8.5)/g1 - t^8.53/(g2^11*g3^7) + g2^16*g3^2*t^8.54 - t^8.55/(g1^2*g2^23*g3^7) - (g2^13*t^8.58)/(g1*g3) + g1^3*g3^18*t^8.73 + (g1*g3^18*t^8.74)/g2^12 + (g3^18*t^8.76)/(g1*g2^24) + (g3^18*t^8.77)/(g1^3*g2^36) + (g1^2*g3^15*t^8.78)/g2^3 + (g3^15*t^8.79)/g2^15 + (g3^15*t^8.8)/(g1^2*g2^27) + g1^3*g2^6*g3^12*t^8.81 + (2*g1*g3^12*t^8.83)/g2^6 + (2*g3^12*t^8.84)/(g1*g2^18) + (g3^12*t^8.85)/(g1^3*g2^30) + 3*g1^2*g2^3*g3^9*t^8.86 + (4*g3^9*t^8.87)/g2^9 + (g3^9*t^8.89)/(g1^2*g2^21) + g1^3*g2^12*g3^6*t^8.9 - 2*g1*g3^6*t^8.91 - (4*g3^6*t^8.92)/(g1*g2^12) + 5*g1^2*g2^9*g3^3*t^8.94 + (g3^3*t^8.96)/g2^3 + (2*g3^3*t^8.97)/(g1^2*g2^15) + 2*g1^3*g2^18*t^8.98 - (g2*t^4.01)/(g3*y) - (g2^2*t^5.03)/(g3^2*y) - (g2^3*t^6.04)/(g3^3*y) - (g1*g2^12*t^6.08)/(g3^6*y) - (g1*g2*g3^5*t^6.92)/y - (g3^5*t^6.94)/(g1*g2^11*y) - (g3^2*t^6.97)/(g2^2*y) - (g1*g2^7*t^7.01)/(g3*y) - t^7.02/(g1*g2^5*g3*y) - (g2^4*t^7.06)/(g3^4*y) + (g3^4*t^7.95)/(g1*g2^10*y) + (g1^2*g2^11*g3*t^7.97)/y + (2*g3*t^7.99)/(g2*y) + (g1*g2^8*t^8.02)/(g3^2*y) + (g1^2*g2^17*t^8.06)/(g3^5*y) - (g1*g2^14*t^8.1)/(g3^8*y) - (g1^2*g2^23*t^8.14)/(g3^11*y) + (g3^12*t^8.83)/(g2^12*y) + (g1*g3^9*t^8.87)/(g2^3*y) + (g3^9*t^8.88)/(g1*g2^15*y) + (g1^2*g2^6*g3^6*t^8.9)/y + (2*g3^6*t^8.92)/(g2^6*y) + (g3^6*t^8.93)/(g1^2*g2^18*y) - (g2*t^4.01*y)/g3 - (g2^2*t^5.03*y)/g3^2 - (g2^3*t^6.04*y)/g3^3 - (g1*g2^12*t^6.08*y)/g3^6 - g1*g2*g3^5*t^6.92*y - (g3^5*t^6.94*y)/(g1*g2^11) - (g3^2*t^6.97*y)/g2^2 - (g1*g2^7*t^7.01*y)/g3 - (t^7.02*y)/(g1*g2^5*g3) - (g2^4*t^7.06*y)/g3^4 + (g3^4*t^7.95*y)/(g1*g2^10) + g1^2*g2^11*g3*t^7.97*y + (2*g3*t^7.99*y)/g2 + (g1*g2^8*t^8.02*y)/g3^2 + (g1^2*g2^17*t^8.06*y)/g3^5 - (g1*g2^14*t^8.1*y)/g3^8 - (g1^2*g2^23*t^8.14*y)/g3^11 + (g3^12*t^8.83*y)/g2^12 + (g1*g3^9*t^8.87*y)/g2^3 + (g3^9*t^8.88*y)/(g1*g2^15) + g1^2*g2^6*g3^6*t^8.9*y + (2*g3^6*t^8.92*y)/g2^6 + (g3^6*t^8.93*y)/(g1^2*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 |
---|---|---|---|---|---|---|---|---|
60596 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.3535 | 1.5731 | 0.8604 | [X:[1.376], M:[0.8719, 1.0], q:[0.3152, 0.5548], qb:[0.565, 0.3087], phi:[0.376]] | t^2.26 + t^2.59 + t^2.62 + t^2.64 + t^3. + t^3.36 + t^3.72 + t^3.77 + 2*t^4.13 + t^4.49 + t^4.51 + 2*t^4.68 + 2*t^4.85 + t^4.87 + 2*t^4.9 + t^5.18 + t^5.21 + t^5.23 + 2*t^5.26 + t^5.4 + t^5.44 + t^5.59 + 3*t^5.62 + t^5.64 + t^5.8 + t^5.81 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.13/y - t^5.26/y - t^4.13*y - t^5.26*y | detail | |
59271 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.5165 | 1.7672 | 0.8581 | [X:[], M:[0.988, 0.6866, 0.6866], q:[0.4939, 0.4939], qb:[0.5061, 0.4821], phi:[0.3373]] | t^2.02 + 2*t^2.06 + 2*t^2.93 + t^2.96 + 2*t^3. + 2*t^4.01 + t^4.05 + 2*t^4.08 + 3*t^4.12 + 4*t^4.95 + 5*t^4.99 + 6*t^5.02 + 4*t^5.06 + t^5.42 + 2*t^5.46 + t^5.49 + 3*t^5.86 + 2*t^5.89 + 4*t^5.93 + 2*t^5.96 - 3*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail | |
60779 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 1.4968 | 1.7308 | 0.8648 | [X:[], M:[0.9847, 0.6733, 0.9811], q:[0.5113, 0.4735], qb:[0.5076, 0.477], phi:[0.3384]] | t^2.02 + t^2.03 + t^2.85 + 2*t^2.94 + t^2.95 + t^2.96 + t^3.87 + t^3.96 + t^4.04 + t^4.05 + t^4.06 + t^4.07 + t^4.87 + 2*t^4.88 + 2*t^4.96 + 4*t^4.97 + 2*t^4.98 + 2*t^5. + t^5.09 + t^5.39 + t^5.4 + t^5.49 + t^5.5 + t^5.7 + 2*t^5.79 + t^5.81 + t^5.82 + 3*t^5.89 + 3*t^5.9 + 2*t^5.91 + t^5.92 + t^5.93 + t^5.98 + t^5.99 - 4*t^6. - t^4.02/y - t^5.03/y - t^4.02*y - t^5.03*y | detail | |
60697 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4614 | 1.6666 | 0.8769 | [X:[1.3376], M:[1.0064, 0.6851], q:[0.5174, 0.5757], qb:[0.4535, 0.4663], phi:[0.3312]] | t^2.06 + t^2.91 + t^2.95 + t^3.02 + t^3.09 + t^3.13 + t^3.91 + t^4.01 + t^4.08 + t^4.11 + t^4.12 + t^4.9 + t^4.94 + t^4.97 + t^5.01 + 2*t^5.07 + 2*t^5.11 + t^5.14 + t^5.15 + t^5.18 + t^5.83 + t^5.86 + t^5.9 + t^5.93 + t^5.97 - 2*t^6. - t^3.99/y - t^4.99/y - t^3.99*y - t^4.99*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
47909 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4751 | 1.6878 | 0.874 | [M:[0.9839], q:[0.4918, 0.4918], qb:[0.5082, 0.476], phi:[0.3387]] | t^2.032 + 2*t^2.904 + t^2.952 + 2*t^3. + 2*t^3.92 + 2*t^4.016 + t^4.064 + 4*t^4.936 + t^4.984 + 4*t^5.032 + t^5.397 + 2*t^5.443 + t^5.493 + 3*t^5.807 + 2*t^5.855 + 4*t^5.904 + 4*t^5.952 - 3*t^6. - t^4.016/y - t^5.032/y - t^4.016*y - t^5.032*y | detail |