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 |
|---|---|---|---|---|---|---|---|---|---|
| 1569 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.7289 | 0.9135 | 0.7979 | [X:[], M:[1.0715, 0.8502, 0.9285, 0.9933, 1.0067, 0.9285, 0.6694], q:[0.5033, 0.4251], qb:[0.5682, 0.5816], phi:[0.4804]] | [X:[], M:[[12, 4], [-16, -16], [-12, -4], [8, -8], [-8, 8], [-12, -4], [17, 19]], q:[[-4, 4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-1, -3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_4$, $ M_5$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_7$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ M_5M_7$, $ M_2^2$, $ M_7q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1^4$, $ M_3M_5$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_5\phi_1^2$ | . | -3 | t^2.01 + t^2.55 + 2*t^2.79 + t^2.88 + t^2.98 + t^3.02 + t^3.25 + t^4.02 + t^4.23 + t^4.42 + 2*t^4.46 + t^4.56 + t^4.66 + t^4.7 + 2*t^4.79 + t^4.85 + 2*t^4.89 + t^4.93 + t^4.99 + t^5.03 + t^5.1 + t^5.26 + 2*t^5.34 + t^5.43 + 3*t^5.57 + 2*t^5.67 + t^5.77 + 2*t^5.81 + t^5.86 + t^5.9 - 3*t^6. + t^6.02 + 2*t^6.04 + t^6.14 - t^6.19 - t^6.23 + t^6.27 + t^6.47 + t^6.51 + t^6.57 + t^6.66 + t^6.7 + t^6.78 + 2*t^6.8 + t^6.86 + 2*t^6.9 + t^6.94 + t^7. + 3*t^7.01 + t^7.04 + t^7.11 + t^7.21 + 4*t^7.25 + t^7.27 + t^7.3 + 3*t^7.34 + t^7.4 + 2*t^7.44 + 4*t^7.48 + 2*t^7.58 + t^7.64 + t^7.65 + 2*t^7.68 + 4*t^7.72 + t^7.73 + t^7.77 + 2*t^7.81 + t^7.83 + t^7.87 + 2*t^7.89 + t^7.91 + 2*t^7.95 - t^7.97 + t^7.98 - 4*t^8.01 + t^8.03 + t^8.05 + 3*t^8.12 + t^8.15 + t^8.19 - t^8.2 + 2*t^8.22 - t^8.24 + t^8.28 - t^8.32 + 4*t^8.36 + 3*t^8.45 + t^8.48 + t^8.52 - 3*t^8.55 + t^8.57 + 3*t^8.59 + t^8.65 + t^8.67 + 3*t^8.69 + t^8.71 - 8*t^8.79 + 2*t^8.81 + 3*t^8.83 + t^8.87 - 2*t^8.88 + 2*t^8.91 + 4*t^8.92 + t^8.95 - 4*t^8.98 - t^4.44/y - t^6.45/y - t^6.99/y - t^7.23/y - t^7.32/y + (2*t^7.56)/y + t^7.66/y + (2*t^7.79)/y + (2*t^7.89)/y + t^7.99/y + t^8.03/y + t^8.26/y + (2*t^8.34)/y + (2*t^8.43)/y - t^8.46/y + t^8.53/y + (2*t^8.57)/y + (2*t^8.67)/y + (2*t^8.77)/y + (3*t^8.81)/y + t^8.86/y + t^8.9/y - t^4.44*y - t^6.45*y - t^6.99*y - t^7.23*y - t^7.32*y + 2*t^7.56*y + t^7.66*y + 2*t^7.79*y + 2*t^7.89*y + t^7.99*y + t^8.03*y + t^8.26*y + 2*t^8.34*y + 2*t^8.43*y - t^8.46*y + t^8.53*y + 2*t^8.57*y + 2*t^8.67*y + 2*t^8.77*y + 3*t^8.81*y + t^8.86*y + t^8.9*y | g1^17*g2^19*t^2.01 + t^2.55/(g1^16*g2^16) + (2*t^2.79)/(g1^12*g2^4) + t^2.88/(g1^2*g2^6) + (g1^8*t^2.98)/g2^8 + (g2^8*t^3.02)/g1^8 + (g2^20*t^3.25)/g1^4 + g1^34*g2^38*t^4.02 + t^4.23/(g1^13*g2^7) + (g1^7*t^4.42)/g2^11 + (2*g2^5*t^4.46)/g1^9 + g1*g2^3*t^4.56 + g1^11*g2*t^4.66 + (g2^17*t^4.7)/g1^5 + 2*g1^5*g2^15*t^4.79 + (g1^31*t^4.85)/g2^3 + 2*g1^15*g2^13*t^4.89 + (g2^29*t^4.93)/g1 + g1^25*g2^11*t^4.99 + g1^9*g2^27*t^5.03 + t^5.1/(g1^32*g2^32) + g1^13*g2^39*t^5.26 + (2*t^5.34)/(g1^28*g2^20) + t^5.43/(g1^18*g2^22) + (3*t^5.57)/(g1^24*g2^8) + (2*t^5.67)/(g1^14*g2^10) + t^5.77/(g1^4*g2^12) + (2*g2^4*t^5.81)/g1^20 + (g1^6*t^5.86)/g2^14 + (g2^2*t^5.9)/g1^10 - 3*t^6. + g1^51*g2^57*t^6.02 + (2*g2^16*t^6.04)/g1^16 + (g2^14*t^6.14)/g1^6 - (g1^20*t^6.19)/g2^4 - g1^4*g2^12*t^6.23 + (g2^28*t^6.27)/g1^12 + g1^8*g2^24*t^6.47 + (g2^40*t^6.51)/g1^8 + g1^18*g2^22*t^6.57 + g1^28*g2^20*t^6.66 + g1^12*g2^36*t^6.7 + t^6.78/(g1^29*g2^23) + 2*g1^22*g2^34*t^6.8 + g1^48*g2^16*t^6.86 + 2*g1^32*g2^32*t^6.9 + g1^16*g2^48*t^6.94 + g1^42*g2^30*t^7. + (3*t^7.01)/(g1^25*g2^11) + g1^26*g2^46*t^7.04 + t^7.11/(g1^15*g2^13) + t^7.21/(g1^5*g2^15) + (4*g2*t^7.25)/g1^21 + g1^30*g2^58*t^7.27 + (g1^5*t^7.3)/g2^17 + (3*t^7.34)/(g1^11*g2) + (g1^15*t^7.4)/g2^19 + (2*t^7.44)/(g1*g2^3) + (4*g2^13*t^7.48)/g1^17 + (2*g2^11*t^7.58)/g1^7 + (g1^19*t^7.64)/g2^7 + t^7.65/(g1^48*g2^48) + 2*g1^3*g2^9*t^7.68 + (4*g2^25*t^7.72)/g1^13 + (g1^29*t^7.73)/g2^9 + g1^13*g2^7*t^7.77 + (2*g2^23*t^7.81)/g1^3 + (g1^39*t^7.83)/g2^11 + g1^23*g2^5*t^7.87 + (2*t^7.89)/(g1^44*g2^36) + g1^7*g2^21*t^7.91 + (2*g2^37*t^7.95)/g1^9 - g1^33*g2^3*t^7.97 + t^7.98/(g1^34*g2^38) - 4*g1^17*g2^19*t^8.01 + g1^68*g2^76*t^8.03 + g1*g2^35*t^8.05 + (3*t^8.12)/(g1^40*g2^24) + g1^11*g2^33*t^8.15 + (g2^49*t^8.19)/g1^5 - g1^37*g2^15*t^8.2 + (2*t^8.22)/(g1^30*g2^26) - g1^21*g2^31*t^8.24 + g1^5*g2^47*t^8.28 - t^8.32/(g1^20*g2^28) + (4*t^8.36)/(g1^36*g2^12) + (3*t^8.45)/(g1^26*g2^14) + g1^25*g2^43*t^8.48 + g1^9*g2^59*t^8.52 - (3*t^8.55)/(g1^16*g2^16) + g1^35*g2^41*t^8.57 + (3*t^8.59)/g1^32 + t^8.65/(g1^6*g2^18) + g1^45*g2^39*t^8.67 + (3*t^8.69)/(g1^22*g2^2) + g1^29*g2^55*t^8.71 - (8*t^8.79)/(g1^12*g2^4) + 2*g1^39*g2^53*t^8.81 + (3*g2^12*t^8.83)/g1^28 + g1^65*g2^35*t^8.87 - (2*t^8.88)/(g1^2*g2^6) + 2*g1^49*g2^51*t^8.91 + (4*g2^10*t^8.92)/g1^18 + g1^33*g2^67*t^8.95 - (4*g1^8*t^8.98)/g2^8 - t^4.44/(g1*g2^3*y) - (g1^16*g2^16*t^6.45)/y - t^6.99/(g1^17*g2^19*y) - t^7.23/(g1^13*g2^7*y) - t^7.32/(g1^3*g2^9*y) + (2*g1*g2^3*t^7.56)/y + (g1^11*g2*t^7.66)/y + (2*g1^5*g2^15*t^7.79)/y + (2*g1^15*g2^13*t^7.89)/y + (g1^25*g2^11*t^7.99)/y + (g1^9*g2^27*t^8.03)/y + (g1^13*g2^39*t^8.26)/y + (2*t^8.34)/(g1^28*g2^20*y) + (2*t^8.43)/(g1^18*g2^22*y) - (g1^33*g2^35*t^8.46)/y + t^8.53/(g1^8*g2^24*y) + (2*t^8.57)/(g1^24*g2^8*y) + (2*t^8.67)/(g1^14*g2^10*y) + (2*t^8.77)/(g1^4*g2^12*y) + (3*g2^4*t^8.81)/(g1^20*y) + (g1^6*t^8.86)/(g2^14*y) + (g2^2*t^8.9)/(g1^10*y) - (t^4.44*y)/(g1*g2^3) - g1^16*g2^16*t^6.45*y - (t^6.99*y)/(g1^17*g2^19) - (t^7.23*y)/(g1^13*g2^7) - (t^7.32*y)/(g1^3*g2^9) + 2*g1*g2^3*t^7.56*y + g1^11*g2*t^7.66*y + 2*g1^5*g2^15*t^7.79*y + 2*g1^15*g2^13*t^7.89*y + g1^25*g2^11*t^7.99*y + g1^9*g2^27*t^8.03*y + g1^13*g2^39*t^8.26*y + (2*t^8.34*y)/(g1^28*g2^20) + (2*t^8.43*y)/(g1^18*g2^22) - g1^33*g2^35*t^8.46*y + (t^8.53*y)/(g1^8*g2^24) + (2*t^8.57*y)/(g1^24*g2^8) + (2*t^8.67*y)/(g1^14*g2^10) + (2*t^8.77*y)/(g1^4*g2^12) + (3*g2^4*t^8.81*y)/g1^20 + (g1^6*t^8.86*y)/g2^14 + (g2^2*t^8.9*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2700 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_5M_8$ | 0.7308 | 0.9154 | 0.7983 | [X:[], M:[1.0576, 0.8505, 0.9424, 0.9657, 1.0343, 0.9424, 0.6725, 0.9657], q:[0.5172, 0.4252], qb:[0.5405, 0.6091], phi:[0.477]] | t^2.02 + t^2.55 + 2*t^2.83 + t^2.86 + 2*t^2.9 + t^3.38 + t^4.03 + t^4.26 + t^4.33 + 2*t^4.53 + t^4.57 + t^4.6 + t^4.67 + t^4.81 + 2*t^4.84 + 2*t^4.88 + 2*t^4.91 + t^5.09 + t^5.1 + 2*t^5.38 + t^5.4 + t^5.41 + t^5.45 + 2*t^5.65 + 2*t^5.69 + 3*t^5.72 + 2*t^5.76 + 2*t^5.79 - 4*t^6. - t^4.43/y - t^4.43*y | detail | |
| 2702 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ | 0.5957 | 0.7565 | 0.7874 | [X:[], M:[1.011, 0.6969, 0.989, 0.719, 1.281, 0.989, 0.8761], q:[0.6405, 0.3485], qb:[0.3706, 0.9325], phi:[0.427]] | t^2.09 + t^2.16 + t^2.56 + t^2.63 + 2*t^2.97 + t^3.44 + t^3.5 + t^3.84 + t^4.18 + t^4.25 + t^4.31 + t^4.65 + 3*t^4.72 + t^4.79 + 2*t^5.06 + 3*t^5.12 + t^5.19 + t^5.26 + 2*t^5.53 + 3*t^5.6 + t^5.66 + 3*t^5.93 - t^6. - t^4.28/y - t^4.28*y | detail | |
| 2703 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6887 | 0.8828 | 0.7801 | [X:[], M:[1.1902, 0.7533, 0.8098, 1.1337, 0.8663, 0.8098, 0.7608], q:[0.4331, 0.3766], qb:[0.7571, 0.4896], phi:[0.4859]] | t^2.26 + t^2.28 + 2*t^2.43 + t^2.6 + t^2.77 + t^2.92 + t^3.4 + t^3.89 + 2*t^4.06 + t^4.23 + t^4.4 + t^4.52 + t^4.54 + t^4.56 + 2*t^4.69 + 2*t^4.71 + 4*t^4.86 + t^4.88 + 3*t^5.03 + t^5.05 + t^5.18 + 4*t^5.2 + 2*t^5.34 + t^5.37 + t^5.51 + t^5.54 + 2*t^5.68 + t^5.83 - 2*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 994 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ | 0.708 | 0.8721 | 0.8119 | [X:[], M:[1.0721, 0.8491, 0.9279, 0.9932, 1.0068, 0.9279], q:[0.5034, 0.4245], qb:[0.5687, 0.5822], phi:[0.4803]] | t^2.55 + 2*t^2.78 + t^2.88 + t^2.98 + t^3.02 + t^3.26 + t^3.99 + t^4.22 + t^4.42 + 2*t^4.46 + t^4.66 + t^4.7 + t^4.85 + t^4.89 + t^4.93 + t^5.09 + 2*t^5.33 + t^5.43 + 3*t^5.57 + 2*t^5.67 + t^5.76 + 2*t^5.8 + t^5.86 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail |