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 |
|---|---|---|---|---|---|---|---|---|---|
| 2900 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6596 | 0.8332 | 0.7916 | [X:[], M:[0.7847, 1.2363, 0.7427, 0.8544, 0.673, 1.1456, 0.6939], q:[0.7532, 0.4621], qb:[0.3923, 0.8649], phi:[0.3819]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [-3, 3], [7, -7], [3, -3], [13, -5]], q:[[-1, -3], [-7, 3]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_3$, $ M_1$, $ M_4$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_3M_5$, $ M_3M_7$, $ M_1M_5$, $ M_1M_7$, $ M_3^2$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_1^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_6M_7$, $ M_5\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_3M_6$, $ \phi_1q_1^2$, $ M_2M_5$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_1M_6$, $ M_2M_7$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2M_3$ | . | -2 | t^2.02 + t^2.08 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^4.04 + t^4.1 + t^4.16 + t^4.25 + t^4.31 + t^4.37 + t^4.44 + t^4.46 + 2*t^4.58 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.92 + t^5.13 + t^5.46 + 2*t^5.52 + t^5.58 + t^5.66 + 2*t^5.73 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. + 3*t^6.06 + t^6.12 + t^6.18 - t^6.21 + t^6.25 + 2*t^6.27 + t^6.33 + 2*t^6.39 + t^6.45 + t^6.48 + t^6.52 + t^6.54 + 2*t^6.6 + 2*t^6.66 + t^6.68 + 2*t^6.73 + t^6.79 + 2*t^6.81 + 2*t^6.87 + 3*t^6.94 + 2*t^7. + t^7.02 + t^7.06 + t^7.15 + 2*t^7.21 + t^7.27 - t^7.35 + t^7.47 + 2*t^7.54 + 2*t^7.6 - t^7.63 + t^7.66 + t^7.68 + 3*t^7.75 + 2*t^7.81 + 3*t^7.87 + t^7.89 + t^7.94 + t^7.96 - t^8.02 + t^8.08 + 3*t^8.14 + t^8.17 + t^8.2 + t^8.21 - 3*t^8.23 + t^8.26 + t^8.28 + t^8.29 + t^8.33 - t^8.35 + 2*t^8.41 + 2*t^8.42 - t^8.44 + 2*t^8.47 + t^8.49 - t^8.5 + t^8.54 - 2*t^8.56 + t^8.6 + 3*t^8.62 + 2*t^8.68 + t^8.7 + 3*t^8.75 - t^8.77 + 2*t^8.81 + 2*t^8.83 + t^8.87 + 3*t^8.89 + t^8.91 + 4*t^8.96 - t^4.15/y - t^6.16/y - t^6.23/y - t^6.37/y - t^6.5/y + t^7.1/y + t^7.25/y + t^7.31/y + t^7.37/y + t^7.44/y + (2*t^7.58)/y + t^7.65/y + (2*t^7.79)/y + (2*t^7.92)/y + t^8.06/y + t^8.13/y - t^8.18/y - t^8.25/y - t^8.31/y - t^8.39/y + t^8.52/y - t^8.6/y + t^8.66/y + (2*t^8.73)/y + (3*t^8.79)/y + (2*t^8.94)/y - t^4.15*y - t^6.16*y - t^6.23*y - t^6.37*y - t^6.5*y + t^7.1*y + t^7.25*y + t^7.31*y + t^7.37*y + t^7.44*y + 2*t^7.58*y + t^7.65*y + 2*t^7.79*y + 2*t^7.92*y + t^8.06*y + t^8.13*y - t^8.18*y - t^8.25*y - t^8.31*y - t^8.39*y + t^8.52*y - t^8.6*y + t^8.66*y + 2*t^8.73*y + 3*t^8.79*y + 2*t^8.94*y | (g1^7*t^2.02)/g2^7 + (g1^13*t^2.08)/g2^5 + t^2.23/(g1^4*g2^4) + g1^8*t^2.35 + (g2^3*t^2.56)/g1^3 + (g1^3*t^3.44)/g2^3 + (g1^9*t^3.5)/g2 + (2*g2^2*t^3.71)/g1^2 + (g1^14*t^4.04)/g2^14 + (g1^20*t^4.1)/g2^12 + (g1^26*t^4.16)/g2^10 + (g1^3*t^4.25)/g2^11 + (g1^9*t^4.31)/g2^9 + (g1^15*t^4.37)/g2^7 + (g1^21*t^4.44)/g2^5 + t^4.46/(g1^8*g2^8) + (2*g1^4*t^4.58)/g2^4 + (g1^10*t^4.65)/g2^2 + g1^16*t^4.71 + t^4.79/(g1^7*g2) + (g2*t^4.85)/g1 + g1^5*g2^3*t^4.92 + (g2^6*t^5.13)/g1^6 + (g1^10*t^5.46)/g2^10 + (2*g1^16*t^5.52)/g2^8 + (g1^22*t^5.58)/g2^6 + t^5.66/(g1*g2^7) + (2*g1^5*t^5.73)/g2^5 + (2*g1^11*t^5.79)/g2^3 + (g1^17*t^5.85)/g2 + t^5.94/(g1^6*g2^2) - 2*t^6. + (g1^21*t^6.06)/g2^21 + 2*g1^6*g2^2*t^6.06 + (g1^27*t^6.12)/g2^19 + (g1^33*t^6.18)/g2^17 - (g2^3*t^6.21)/g1^11 + (g1^39*t^6.25)/g2^15 + (g1^10*t^6.27)/g2^18 + (g2^5*t^6.27)/g1^5 + (g1^16*t^6.33)/g2^16 + (2*g1^22*t^6.39)/g2^14 + (g1^28*t^6.45)/g2^12 + t^6.48/(g1*g2^15) + (g1^34*t^6.52)/g2^10 + (g1^5*t^6.54)/g2^13 + (2*g1^11*t^6.6)/g2^11 + (2*g1^17*t^6.66)/g2^9 + t^6.68/(g1^12*g2^12) + (2*g1^23*t^6.73)/g2^7 + (g1^29*t^6.79)/g2^5 + (2*t^6.81)/g2^8 + (2*g1^6*t^6.87)/g2^6 + (3*g1^12*t^6.94)/g2^4 + (2*g1^18*t^7.)/g2^2 + t^7.02/(g1^11*g2^5) + g1^24*t^7.06 + (g1*t^7.15)/g2 + 2*g1^7*g2*t^7.21 + g1^13*g2^3*t^7.27 - (g2^2*t^7.35)/g1^10 + (g1^17*t^7.47)/g2^17 + (2*g1^23*t^7.54)/g2^15 + (2*g1^29*t^7.6)/g2^13 - (g2^7*t^7.63)/g1^15 + (g1^35*t^7.66)/g2^11 + (g1^6*t^7.68)/g2^14 + (3*g1^12*t^7.75)/g2^12 + (2*g1^18*t^7.81)/g2^10 + (3*g1^24*t^7.87)/g2^8 + t^7.89/(g1^5*g2^11) + (g1^30*t^7.94)/g2^6 + (g1*t^7.96)/g2^9 - (g1^7*t^8.02)/g2^7 + (g1^28*t^8.08)/g2^28 + (g1^34*t^8.14)/g2^26 + (2*g1^19*t^8.14)/g2^3 + t^8.17/(g1^10*g2^6) + (g1^40*t^8.2)/g2^24 + (g1^25*t^8.21)/g2 - (3*t^8.23)/(g1^4*g2^4) + (g1^46*t^8.26)/g2^22 + (g1^17*t^8.28)/g2^25 + (g1^2*t^8.29)/g2^2 + (g1^52*t^8.33)/g2^20 - 2*g1^8*t^8.35 + (g1^23*t^8.35)/g2^23 + (2*g1^29*t^8.41)/g2^21 + 2*g1^14*g2^2*t^8.42 - t^8.44/(g1^15*g2) + (2*g1^35*t^8.47)/g2^19 + (g1^6*t^8.49)/g2^22 - (g2*t^8.5)/g1^9 + (g1^41*t^8.54)/g2^17 + (g1^12*t^8.56)/g2^20 - (3*g2^3*t^8.56)/g1^3 + (g1^47*t^8.6)/g2^15 + (3*g1^18*t^8.62)/g2^18 + (2*g1^24*t^8.68)/g2^16 + t^8.7/(g1^5*g2^19) + (3*g1^30*t^8.75)/g2^14 + (g1*t^8.77)/g2^17 - (2*g2^6*t^8.77)/g1^14 + (2*g1^36*t^8.81)/g2^12 + (2*g1^7*t^8.83)/g2^15 + (g1^42*t^8.87)/g2^10 + (3*g1^13*t^8.89)/g2^13 + t^8.91/(g1^16*g2^16) + (4*g1^19*t^8.96)/g2^11 - (g1*t^4.15)/(g2*y) - (g1^8*t^6.16)/(g2^8*y) - (g1^14*t^6.23)/(g2^6*y) - t^6.37/(g1^3*g2^5*y) - (g1^9*t^6.5)/(g2*y) + (g1^20*t^7.1)/(g2^12*y) + (g1^3*t^7.25)/(g2^11*y) + (g1^9*t^7.31)/(g2^9*y) + (g1^15*t^7.37)/(g2^7*y) + (g1^21*t^7.44)/(g2^5*y) + (2*g1^4*t^7.58)/(g2^4*y) + (g1^10*t^7.65)/(g2^2*y) + (2*t^7.79)/(g1^7*g2*y) + (2*g1^5*g2^3*t^7.92)/y + (g2^4*t^8.06)/(g1^12*y) + (g2^6*t^8.13)/(g1^6*y) - (g1^15*t^8.18)/(g2^15*y) - (g1^21*t^8.25)/(g2^13*y) - (g1^27*t^8.31)/(g2^11*y) - (g1^4*t^8.39)/(g2^12*y) + (g1^16*t^8.52)/(g2^8*y) - t^8.6/(g1^7*g2^9*y) + t^8.66/(g1*g2^7*y) + (2*g1^5*t^8.73)/(g2^5*y) + (3*g1^11*t^8.79)/(g2^3*y) + (2*t^8.94)/(g1^6*g2^2*y) - (g1*t^4.15*y)/g2 - (g1^8*t^6.16*y)/g2^8 - (g1^14*t^6.23*y)/g2^6 - (t^6.37*y)/(g1^3*g2^5) - (g1^9*t^6.5*y)/g2 + (g1^20*t^7.1*y)/g2^12 + (g1^3*t^7.25*y)/g2^11 + (g1^9*t^7.31*y)/g2^9 + (g1^15*t^7.37*y)/g2^7 + (g1^21*t^7.44*y)/g2^5 + (2*g1^4*t^7.58*y)/g2^4 + (g1^10*t^7.65*y)/g2^2 + (2*t^7.79*y)/(g1^7*g2) + 2*g1^5*g2^3*t^7.92*y + (g2^4*t^8.06*y)/g1^12 + (g2^6*t^8.13*y)/g1^6 - (g1^15*t^8.18*y)/g2^15 - (g1^21*t^8.25*y)/g2^13 - (g1^27*t^8.31*y)/g2^11 - (g1^4*t^8.39*y)/g2^12 + (g1^16*t^8.52*y)/g2^8 - (t^8.6*y)/(g1^7*g2^9) + (t^8.66*y)/(g1*g2^7) + (2*g1^5*t^8.73*y)/g2^5 + (3*g1^11*t^8.79*y)/g2^3 + (2*t^8.94*y)/(g1^6*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 3481 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ | 0.6429 | 0.8033 | 0.8003 | [X:[], M:[0.8093, 1.2371, 0.7166, 0.8556, 0.6702, 1.1444, 0.7166, 1.1907], q:[0.7397, 0.451], qb:[0.4046, 0.8788], phi:[0.3815]] | t^2.01 + 2*t^2.15 + t^2.57 + t^3.43 + 2*t^3.57 + 2*t^3.71 + t^4.02 + 2*t^4.16 + 3*t^4.3 + t^4.58 + 2*t^4.72 + t^4.86 + t^5.13 + t^5.44 + 4*t^5.58 + 5*t^5.72 + 2*t^5.86 - 2*t^6. - t^4.14/y - t^4.14*y | detail | |
| 3478 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_5M_7$ | 0.5757 | 0.7182 | 0.8016 | [X:[], M:[0.8809, 1.1468, 0.8254, 0.7202, 0.9861, 1.2798, 1.0139], q:[0.8393, 0.2798], qb:[0.4405, 0.7341], phi:[0.4266]] | t^2.16 + t^2.48 + t^2.64 + t^2.96 + t^3.04 + 2*t^3.44 + t^3.84 + t^3.92 + t^4.32 + t^4.64 + t^4.72 + t^4.8 + t^4.95 + 2*t^5.12 + t^5.2 + t^5.29 + t^5.43 + 2*t^5.6 + t^5.68 + 2*t^5.92 - t^6. - t^4.28/y - t^4.28*y | detail | |
| 3482 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_6M_8$ | 0.6727 | 0.8545 | 0.7872 | [X:[], M:[0.7831, 1.2306, 0.7556, 0.8459, 0.6928, 1.1541, 0.7066, 0.8459], q:[0.7625, 0.4544], qb:[0.3916, 0.8528], phi:[0.3847]] | t^2.08 + t^2.12 + t^2.27 + t^2.35 + 2*t^2.54 + t^3.5 + 2*t^3.69 + t^4.16 + t^4.2 + t^4.24 + t^4.35 + t^4.39 + t^4.43 + t^4.47 + t^4.53 + 3*t^4.62 + 2*t^4.66 + t^4.7 + 2*t^4.8 + t^4.85 + 2*t^4.89 + 3*t^5.08 + t^5.58 + t^5.62 + 2*t^5.77 + t^5.81 + t^5.85 + t^5.96 - 3*t^6. - t^4.15/y - t^4.15*y | detail | |
| 3480 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.595 | 0.7426 | 0.8012 | [X:[], M:[0.9523, 1.1809, 0.6859, 0.7714, 0.8668, 1.2286, 1.0], q:[0.7525, 0.2952], qb:[0.4761, 0.8379], phi:[0.4095]] | t^2.06 + t^2.31 + t^2.6 + t^2.86 + t^3. + 2*t^3.54 + t^3.69 + t^4.09 + t^4.12 + t^4.37 + t^4.63 + t^4.66 + t^4.77 + 2*t^4.91 + t^5.06 + t^5.17 + t^5.2 + t^5.31 + 2*t^5.6 + t^5.71 + t^5.74 + 2*t^5.86 - t^6. - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1883 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.639 | 0.7933 | 0.8056 | [X:[], M:[0.7924, 1.2338, 0.7399, 0.8507, 0.6817, 1.1493], q:[0.7531, 0.4545], qb:[0.3962, 0.8638], phi:[0.3831]] | t^2.04 + t^2.22 + t^2.38 + t^2.55 + t^3.45 + t^3.53 + 2*t^3.7 + t^3.88 + t^4.09 + t^4.26 + t^4.42 + t^4.44 + 2*t^4.6 + t^4.75 + t^4.77 + t^4.85 + t^4.93 + t^5.1 + t^5.49 + t^5.57 + t^5.67 + 2*t^5.75 + t^5.9 + 2*t^5.92 - 2*t^6. - t^4.15/y - t^4.15*y | detail |