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 |
---|---|---|---|---|---|---|---|---|---|
48147 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_4M_6$ | 0.7207 | 0.8863 | 0.8132 | [X:[], M:[0.8653, 0.8101, 0.9724, 1.0276, 1.0, 0.9724], q:[0.5812, 0.5536], qb:[0.6087, 0.4188], phi:[0.4594]] | [X:[], M:[[1, 6], [-1, 2], [-1, -2], [1, 2], [0, 0], [-1, -2]], q:[[0, -2], [-1, -4]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_6$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ M_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_2M_6$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_1M_6$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5\phi_1^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3M_5$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$ | . | t^2.43 + t^2.6 + t^2.76 + 2*t^2.92 + t^3. + t^3.49 + t^3.89 + t^4.3 + t^4.38 + t^4.46 + t^4.7 + t^4.78 + t^4.86 + 2*t^4.87 + t^4.95 + 2*t^5.03 + 2*t^5.19 + 3*t^5.35 + 2*t^5.51 + 2*t^5.67 + t^5.76 + 2*t^5.83 + t^5.92 - 3*t^6. - t^6.08 - t^6.17 + t^6.24 + t^6.32 + t^6.4 - t^6.57 + t^6.65 + t^6.73 + 2*t^6.81 + 2*t^6.89 + t^6.97 + t^7.05 + t^7.06 + t^7.13 + 2*t^7.21 + t^7.22 + t^7.29 + 3*t^7.3 + 2*t^7.38 + 3*t^7.46 + 5*t^7.62 + t^7.63 + 2*t^7.7 + 7*t^7.78 + 2*t^7.79 + t^7.87 + t^7.94 + 2*t^7.95 - 2*t^8.03 + 2*t^8.1 + t^8.19 + 2*t^8.26 + 2*t^8.27 + 2*t^8.35 - t^8.43 - t^8.51 + t^8.52 + 3*t^8.59 - 4*t^8.6 + 2*t^8.67 + 3*t^8.75 - 2*t^8.76 - 7*t^8.92 - t^4.38/y - t^6.81/y - t^6.97/y - t^7.13/y - t^7.3/y + t^7.46/y + t^7.62/y + t^7.78/y + t^7.95/y + t^8.03/y + t^8.19/y + (3*t^8.35)/y + t^8.43/y + (2*t^8.51)/y + t^8.6/y + (2*t^8.67)/y + t^8.76/y + t^8.83/y + (3*t^8.92)/y - t^4.38*y - t^6.81*y - t^6.97*y - t^7.13*y - t^7.3*y + t^7.46*y + t^7.62*y + t^7.78*y + t^7.95*y + t^8.03*y + t^8.19*y + 3*t^8.35*y + t^8.43*y + 2*t^8.51*y + t^8.6*y + 2*t^8.67*y + t^8.76*y + t^8.83*y + 3*t^8.92*y | (g2^2*t^2.43)/g1 + g1*g2^6*t^2.6 + g2^2*t^2.76 + (2*t^2.92)/(g1*g2^2) + t^3. + t^3.49/g2^4 + g2^5*t^3.89 + t^4.3/(g1*g2) + g2*t^4.38 + g1*g2^3*t^4.46 + t^4.7/(g1^2*g2^7) + t^4.78/(g1*g2^5) + (g2^4*t^4.86)/g1^2 + (2*t^4.87)/g2^3 + (g1*t^4.95)/g2 + g1^2*g2*t^5.03 + g2^8*t^5.03 + (g2^4*t^5.19)/g1 + g1^2*g2^12*t^5.19 + (2*t^5.35)/g1^2 + g1*g2^8*t^5.35 + 2*g2^4*t^5.51 + (2*t^5.67)/g1 + g2^2*t^5.76 + (2*t^5.83)/(g1^2*g2^4) + t^5.92/(g1*g2^2) - 3*t^6. - g1*g2^2*t^6.08 - g1^2*g2^4*t^6.17 + t^6.24/g2^2 + (g2^7*t^6.32)/g1 + t^6.4/(g1*g2^6) - t^6.49/g2^4 + g1*g2^11*t^6.49 - (g1*t^6.57)/g2^2 + g2^7*t^6.65 + (g2*t^6.73)/g1^2 + (2*g2^3*t^6.81)/g1 + 2*g2^5*t^6.89 + t^6.97/g2^8 + (g2*t^7.05)/g1 + g1^2*g2^9*t^7.06 + t^7.13/(g1^3*g2^5) + (2*t^7.21)/(g1^2*g2^3) + g1*g2^5*t^7.22 + (g2^6*t^7.29)/g1^3 + (3*t^7.3)/(g1*g2) + 2*g2*t^7.38 + t^7.46/(g1^2*g2^5) + g1*g2^3*t^7.46 + (g2^10*t^7.46)/g1 + (2*t^7.62)/(g1^3*g2^9) + t^7.62/g2 + (g2^6*t^7.62)/g1^2 + g1*g2^14*t^7.62 + g1^3*g2^7*t^7.63 + (2*t^7.7)/(g1^2*g2^7) + (3*t^7.78)/(g1*g2^5) + (2*g2^2*t^7.78)/g1^3 + 2*g2^10*t^7.78 + g1^2*g2^3*t^7.79 + g1^3*g2^18*t^7.79 + t^7.87/g2^3 - t^7.94/(g1^2*g2^9) + (2*g2^6*t^7.94)/g1 + (g1*t^7.95)/g2 + g1^2*g2^14*t^7.95 - t^8.03/(g1*g2^7) - g2^8*t^8.03 + (2*g2^2*t^8.1)/g1^2 - (2*t^8.11)/g2^5 + 2*g1*g2^10*t^8.11 + t^8.19/(g1^2*g2^11) - (g1*t^8.19)/g2^3 + (g2^4*t^8.19)/g1 + (2*t^8.26)/(g1^3*g2^2) - (g1^2*t^8.27)/g2 + 3*g2^6*t^8.27 + t^8.35/g2^7 + g1*g2^8*t^8.35 - (g2^2*t^8.43)/g1 - g2^4*t^8.51 + (g1^2*t^8.52)/g2^3 + (3*t^8.59)/(g1^2*g2^2) - 4*g1*g2^6*t^8.6 + (2*t^8.67)/g1 + (2*t^8.75)/(g1^3*g2^6) + (g2^9*t^8.75)/g1^2 - g2^2*t^8.76 - g1^3*g2^10*t^8.76 - (8*t^8.92)/(g1*g2^2) + g2^13*t^8.92 - (g2*t^4.38)/y - (g2^3*t^6.81)/(g1*y) - (g1*g2^7*t^6.97)/y - (g2^3*t^7.13)/y - t^7.3/(g1*g2*y) + (g1*g2^3*t^7.46)/y + t^7.62/(g2*y) + t^7.78/(g1*g2^5*y) + (g1*t^7.95)/(g2*y) + (g2^8*t^8.03)/y + (g2^4*t^8.19)/(g1*y) + (2*t^8.35)/(g1^2*y) + (g1*g2^8*t^8.35)/y + (g2^2*t^8.43)/(g1*y) + (2*g2^4*t^8.51)/y + (g1*g2^6*t^8.6)/y + (2*t^8.67)/(g1*y) + (g2^2*t^8.76)/y + t^8.83/(g1^2*g2^4*y) + (3*t^8.92)/(g1*g2^2*y) - g2*t^4.38*y - (g2^3*t^6.81*y)/g1 - g1*g2^7*t^6.97*y - g2^3*t^7.13*y - (t^7.3*y)/(g1*g2) + g1*g2^3*t^7.46*y + (t^7.62*y)/g2 + (t^7.78*y)/(g1*g2^5) + (g1*t^7.95*y)/g2 + g2^8*t^8.03*y + (g2^4*t^8.19*y)/g1 + (2*t^8.35*y)/g1^2 + g1*g2^8*t^8.35*y + (g2^2*t^8.43*y)/g1 + 2*g2^4*t^8.51*y + g1*g2^6*t^8.6*y + (2*t^8.67*y)/g1 + g2^2*t^8.76*y + (t^8.83*y)/(g1^2*g2^4) + (3*t^8.92*y)/(g1*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 |
---|---|---|---|---|---|---|---|---|
55892 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_4M_6$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.7413 | 0.9257 | 0.8008 | [X:[], M:[0.8732, 0.818, 0.9724, 1.0276, 1.0, 0.9724, 0.693], q:[0.5772, 0.5496], qb:[0.6048, 0.4228], phi:[0.4614]] | t^2.08 + t^2.45 + t^2.62 + t^2.77 + 2*t^2.92 + t^3. + t^3.46 + t^4.16 + t^4.3 + t^4.38 + t^4.47 + t^4.53 + t^4.68 + t^4.7 + t^4.76 + 3*t^4.85 + t^4.91 + t^4.93 + 2*t^5. + t^5.01 + t^5.07 + t^5.08 + t^5.22 + t^5.24 + 2*t^5.37 + t^5.39 + 3*t^5.54 + 2*t^5.69 + t^5.77 + 2*t^5.83 + t^5.92 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
52115 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_4M_6$ + $ M_7\phi_1^2$ | 0.7137 | 0.8739 | 0.8167 | [X:[], M:[0.8852, 0.83, 0.9724, 1.0276, 1.0, 0.9724, 1.0712], q:[0.5712, 0.5436], qb:[0.5988, 0.4288], phi:[0.4644]] | t^2.49 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.43 + t^3.97 + t^4.31 + t^4.39 + t^4.48 + t^4.65 + t^4.74 + 2*t^4.82 + t^4.9 + t^4.98 + t^4.99 + t^5.15 + t^5.31 + 2*t^5.41 + t^5.57 + t^5.7 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. - t^4.39/y - t^4.39*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 |
---|---|---|---|---|---|---|---|---|---|
46581 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ | 0.7194 | 0.8833 | 0.8145 | [X:[], M:[0.8377, 0.8377, 1.0, 1.0, 1.0], q:[0.5812, 0.5812], qb:[0.5812, 0.4188], phi:[0.4594]] | 2*t^2.51 + t^2.76 + 3*t^3. + t^3.49 + t^3.89 + 3*t^4.38 + 6*t^4.87 + 3*t^5.03 + 2*t^5.27 + 4*t^5.51 + 3*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail |