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 |
|---|---|---|---|---|---|---|---|---|---|
| 1546 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6781 | 0.8467 | 0.8009 | [X:[], M:[1.011, 0.7404, 0.9027, 0.8487, 1.1513, 1.1243, 0.7134], q:[0.6188, 0.3702], qb:[0.4785, 0.7811], phi:[0.4379]] | [X:[], M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [-1, 5]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_4$, $ M_3$, $ M_1$, $ M_6$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_2M_7$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_7$, $ M_2M_3$, $ \phi_1q_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_1M_2$, $ M_3M_4$, $ M_3^2$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_5M_7$, $ M_2M_5$, $ M_7\phi_1q_2^2$, $ M_1M_3$, $ M_2\phi_1q_2^2$, $ M_4M_6$ | . | -2 | t^2.14 + t^2.22 + t^2.55 + t^2.71 + t^3.03 + t^3.37 + t^3.45 + t^3.53 + t^4.18 + t^4.2 + 2*t^4.28 + t^4.36 + t^4.44 + t^4.61 + t^4.69 + t^4.77 + t^4.85 + t^4.93 + t^5.03 + t^5.09 + t^5.17 + t^5.25 + t^5.42 + t^5.51 + 2*t^5.59 + t^5.68 + t^5.74 + t^5.76 + t^5.92 - 2*t^6. + t^6.07 + t^6.08 + t^6.16 + t^6.24 + t^6.34 + t^6.41 + 2*t^6.42 + 2*t^6.5 + t^6.58 + t^6.66 + t^6.73 + t^6.75 + 2*t^6.83 + 2*t^6.91 + 3*t^6.99 + 2*t^7.07 + t^7.15 + t^7.17 + t^7.22 + t^7.25 + t^7.31 + t^7.39 + t^7.48 + t^7.56 + t^7.57 + 2*t^7.64 + 2*t^7.65 + 3*t^7.73 + 3*t^7.82 + t^7.88 + t^7.9 + t^7.96 + t^7.98 + t^8.12 - 2*t^8.14 + t^8.21 - 2*t^8.22 + t^8.29 + 2*t^8.3 + t^8.37 + t^8.38 + t^8.4 + t^8.45 + t^8.46 + 2*t^8.48 - 2*t^8.55 + 3*t^8.56 + t^8.63 + 2*t^8.64 - 3*t^8.71 + 2*t^8.72 + t^8.77 + t^8.79 + t^8.8 + t^8.87 + t^8.89 + t^8.95 + t^8.97 - t^4.31/y - t^6.45/y - t^6.53/y - t^7.02/y + t^7.28/y - t^7.35/y + t^7.36/y + t^7.61/y + t^7.69/y + t^7.77/y + t^7.85/y + t^7.93/y + t^8.09/y + (2*t^8.17)/y + (2*t^8.25)/y + t^8.51/y + t^8.58/y + t^8.59/y + t^8.68/y + t^8.74/y + t^8.92/y - t^4.31*y - t^6.45*y - t^6.53*y - t^7.02*y + t^7.28*y - t^7.35*y + t^7.36*y + t^7.61*y + t^7.69*y + t^7.77*y + t^7.85*y + t^7.93*y + t^8.09*y + 2*t^8.17*y + 2*t^8.25*y + t^8.51*y + t^8.58*y + t^8.59*y + t^8.68*y + t^8.74*y + t^8.92*y | (g2^5*t^2.14)/g1 + t^2.22/(g1^2*g2^2) + (g1*t^2.55)/g2 + t^2.71/(g1*g2^15) + (g1^2*t^3.03)/g2^14 + g2^8*t^3.37 + (g2*t^3.45)/g1 + t^3.53/(g1^2*g2^6) + (g1^4*t^4.18)/g2^4 + (g2^17*t^4.2)/g1 + (2*g2^10*t^4.28)/g1^2 + (g2^3*t^4.36)/g1^3 + t^4.44/(g1^4*g2^4) + g1*g2^11*t^4.61 + g2^4*t^4.69 + t^4.77/(g1*g2^3) + t^4.85/(g1^2*g2^10) + t^4.93/(g1^3*g2^17) + (g2^26*t^5.03)/g1^2 + (g1^2*t^5.09)/g2^2 + (g1*t^5.17)/g2^9 + t^5.25/g2^16 + t^5.42/(g1^2*g2^30) + (g2^13*t^5.51)/g1 + (2*g2^6*t^5.59)/g1^2 + t^5.68/(g1^3*g2) + (g1*t^5.74)/g2^29 + t^5.76/(g1^4*g2^8) + g1*g2^7*t^5.92 - 2*t^6. + (g1^4*t^6.07)/g2^28 + t^6.08/(g1*g2^7) + t^6.16/(g1^2*g2^14) + t^6.24/(g1^3*g2^21) + (g2^22*t^6.34)/g1^2 + (g1^2*t^6.41)/g2^6 + (2*g2^15*t^6.42)/g1^3 + (2*g2^8*t^6.5)/g1^4 + (g2*t^6.58)/g1^5 + t^6.66/(g1^6*g2^6) + (g1^5*t^6.73)/g2^5 + g2^16*t^6.75 + (2*g2^9*t^6.83)/g1 + (2*g2^2*t^6.91)/g1^2 + (3*t^6.99)/(g1^3*g2^5) + (2*t^7.07)/(g1^4*g2^12) + t^7.15/(g1^5*g2^19) + (g2^31*t^7.17)/g1^3 + (g1^6*t^7.22)/g2^18 + (g2^24*t^7.25)/g1^4 + t^7.31/g2^4 + t^7.39/(g1*g2^11) + t^7.48/(g1^2*g2^18) + t^7.56/(g1^3*g2^25) + (g2^25*t^7.57)/g1 + t^7.64/(g1^4*g2^32) + (g1^3*t^7.64)/g2^3 + (2*g2^18*t^7.65)/g1^2 + (3*g2^11*t^7.73)/g1^3 + (3*g2^4*t^7.82)/g1^4 + t^7.88/g2^24 + t^7.9/(g1^5*g2^3) + t^7.96/(g1*g2^31) + t^7.98/(g1^6*g2^10) + t^8.12/(g1^3*g2^45) - (2*g2^5*t^8.14)/g1 + (g1^3*t^8.21)/g2^23 - (2*t^8.22)/(g1^2*g2^2) + (g1^2*t^8.29)/g2^30 + (2*t^8.3)/(g1^3*g2^9) + (g1^8*t^8.37)/g2^8 + t^8.38/(g1^4*g2^16) + (g2^34*t^8.4)/g1^2 + t^8.45/g2^44 + t^8.46/(g1^5*g2^23) + (2*g2^27*t^8.48)/g1^3 - (2*g1*t^8.55)/g2 + (3*g2^20*t^8.56)/g1^4 + t^8.63/g2^8 + (2*g2^13*t^8.64)/g1^5 - (3*t^8.71)/(g1*g2^15) + (2*g2^6*t^8.72)/g1^6 + (g1^3*t^8.77)/g2^43 + g1^5*g2^7*t^8.79 + t^8.8/(g1^7*g2) + t^8.87/(g1^3*g2^29) + t^8.89/(g1^8*g2^8) + t^8.95/(g1^4*g2^36) + (g2^14*t^8.97)/g1^2 - t^4.31/(g2^4*y) - (g2*t^6.45)/(g1*y) - t^6.53/(g1^2*g2^6*y) - t^7.02/(g1*g2^19*y) + (g2^10*t^7.28)/(g1^2*y) - (g1^2*t^7.35)/(g2^18*y) + (g2^3*t^7.36)/(g1^3*y) + (g1*g2^11*t^7.61)/y + (g2^4*t^7.69)/y + t^7.77/(g1*g2^3*y) + t^7.85/(g1^2*g2^10*y) + t^7.93/(g1^3*g2^17*y) + (g1^2*t^8.09)/(g2^2*y) + (2*g1*t^8.17)/(g2^9*y) + (2*t^8.25)/(g2^16*y) + (g2^13*t^8.51)/(g1*y) + (g1^3*t^8.58)/(g2^15*y) + (g2^6*t^8.59)/(g1^2*y) + t^8.68/(g1^3*g2*y) + (g1*t^8.74)/(g2^29*y) + (g1*g2^7*t^8.92)/y - (t^4.31*y)/g2^4 - (g2*t^6.45*y)/g1 - (t^6.53*y)/(g1^2*g2^6) - (t^7.02*y)/(g1*g2^19) + (g2^10*t^7.28*y)/g1^2 - (g1^2*t^7.35*y)/g2^18 + (g2^3*t^7.36*y)/g1^3 + g1*g2^11*t^7.61*y + g2^4*t^7.69*y + (t^7.77*y)/(g1*g2^3) + (t^7.85*y)/(g1^2*g2^10) + (t^7.93*y)/(g1^3*g2^17) + (g1^2*t^8.09*y)/g2^2 + (2*g1*t^8.17*y)/g2^9 + (2*t^8.25*y)/g2^16 + (g2^13*t^8.51*y)/g1 + (g1^3*t^8.58*y)/g2^15 + (g2^6*t^8.59*y)/g1^2 + (t^8.68*y)/(g1^3*g2) + (g1*t^8.74*y)/g2^29 + g1*g2^7*t^8.92*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 2646 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_2M_8$ | 0.659 | 0.8115 | 0.8121 | [X:[], M:[1.0037, 0.7564, 0.9183, 0.8418, 1.1582, 1.12, 0.7182, 1.2436], q:[0.6181, 0.3782], qb:[0.4636, 0.78], phi:[0.44]] | t^2.15 + t^2.53 + t^2.75 + t^3.01 + t^3.36 + t^3.47 + t^3.59 + t^3.73 + t^4.1 + t^4.19 + 2*t^4.31 + t^4.57 + t^4.68 + t^4.91 + t^5.03 + t^5.05 + t^5.17 + 2*t^5.51 + t^5.63 + t^5.77 + 2*t^5.89 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 2650 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_3M_8$ | 0.6726 | 0.8389 | 0.8018 | [X:[], M:[1.0455, 0.775, 0.9804, 0.8401, 1.1599, 1.0898, 0.7048, 1.0196], q:[0.567, 0.3875], qb:[0.4526, 0.7724], phi:[0.4551]] | t^2.11 + t^2.32 + t^2.52 + t^3.06 + t^3.14 + t^3.27 + t^3.48 + t^3.69 + t^4.02 + t^4.08 + 2*t^4.23 + t^4.42 + t^4.44 + t^4.63 + t^4.65 + t^4.77 + t^4.85 + t^5.04 + t^5.17 + t^5.25 + 2*t^5.38 + t^5.58 + 2*t^5.59 + t^5.79 + t^5.8 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 2648 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ | 0.6916 | 0.8693 | 0.7956 | [X:[], M:[1.0001, 0.752, 0.909, 0.843, 1.157, 1.124, 0.719, 0.843], q:[0.624, 0.376], qb:[0.467, 0.781], phi:[0.438]] | t^2.16 + t^2.26 + 2*t^2.53 + t^2.73 + t^3. + t^3.37 + t^3.57 + t^4.12 + t^4.21 + 2*t^4.31 + t^4.41 + t^4.51 + t^4.59 + 2*t^4.69 + 2*t^4.78 + t^4.88 + t^4.98 + 4*t^5.06 + t^5.16 + 2*t^5.26 + t^5.45 + 2*t^5.53 + t^5.63 + t^5.73 + t^5.83 + 2*t^5.9 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 984 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ | 0.6579 | 0.8086 | 0.8137 | [X:[], M:[1.0037, 0.7433, 0.9002, 0.8467, 1.1533, 1.1265], q:[0.6247, 0.3716], qb:[0.4751, 0.7816], phi:[0.4367]] | t^2.23 + t^2.54 + t^2.7 + t^3.01 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.16 + t^4.22 + t^4.3 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.06 + t^5.08 + t^5.24 + t^5.4 + t^5.61 + t^5.71 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y | detail |