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 |
---|---|---|---|---|---|---|---|---|---|
46505 | 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_3\phi_1^2$ | 0.7114 | 0.8732 | 0.8147 | [X:[], M:[0.8231, 0.9476, 1.059, 0.9345, 1.0], q:[0.5557, 0.6212], qb:[0.4967, 0.4443], phi:[0.4705]] | [X:[], M:[[6, 6], [-2, 2], [-2, -2], [6, 2], [0, 0]], q:[[0, -2], [-6, -4]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_1^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_4^2$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_2^2$, $ M_5\phi_1^2$, $ M_3M_4$ | . | -2 | t^2.47 + t^2.8 + t^2.82 + t^2.84 + t^3. + t^3.18 + t^3.35 + t^4.08 + t^4.23 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.75 + t^4.77 + 2*t^4.94 + t^5.14 + t^5.27 + t^5.29 + t^5.31 + t^5.61 + 3*t^5.65 + t^5.69 + t^5.82 + t^5.98 - 2*t^6. + t^6.02 + t^6.18 - t^6.33 + t^6.35 - t^6.37 + t^6.55 + t^6.7 + t^6.71 + t^6.86 + t^6.88 + t^6.9 + t^6.92 + t^7.04 + t^7.06 + 2*t^7.08 + t^7.2 + 2*t^7.21 + 2*t^7.23 + t^7.37 + t^7.39 + 2*t^7.41 + t^7.43 + t^7.45 + t^7.55 + t^7.57 + t^7.59 + t^7.61 + t^7.74 + 2*t^7.75 + t^7.76 + t^7.78 + t^7.96 + t^7.98 + t^8.08 + 4*t^8.12 + 2*t^8.16 + t^8.41 + 2*t^8.45 - t^8.47 + 4*t^8.49 + t^8.53 + t^8.65 - t^8.67 + t^8.69 + 2*t^8.78 - 3*t^8.8 - 3*t^8.84 + t^8.86 + t^8.96 - t^8.98 - t^4.41/y - t^6.88/y - t^7.21/y - t^7.25/y + t^7.57/y + t^7.61/y + t^7.94/y + t^8.27/y + t^8.29/y + t^8.31/y + t^8.47/y + t^8.63/y + (2*t^8.65)/y + t^8.67/y + t^8.8/y + (2*t^8.82)/y + t^8.84/y + t^8.98/y - t^4.41*y - t^6.88*y - t^7.21*y - t^7.25*y + t^7.57*y + t^7.61*y + t^7.94*y + t^8.27*y + t^8.29*y + t^8.31*y + t^8.47*y + t^8.63*y + 2*t^8.65*y + t^8.67*y + t^8.8*y + 2*t^8.82*y + t^8.84*y + t^8.98*y | g1^6*g2^6*t^2.47 + g1^6*g2^2*t^2.8 + g1^2*g2^2*t^2.82 + (g2^2*t^2.84)/g1^2 + t^3. + t^3.18/(g1^2*g2^2) + t^3.35/(g1^4*g2^4) + g1*g2^5*t^4.08 + g1^3*g2^3*t^4.23 + g1^5*g2*t^4.39 + g1*g2*t^4.41 + (g1^3*t^4.57)/g2 + t^4.61/(g1^5*g2) + (g1*t^4.75)/g2^3 + t^4.77/(g1^3*g2^3) + t^4.94/(g1^5*g2^5) + g1^12*g2^12*t^4.94 + t^5.14/(g1^11*g2^7) + g1^12*g2^8*t^5.27 + g1^8*g2^8*t^5.29 + g1^4*g2^8*t^5.31 + g1^12*g2^4*t^5.61 + 3*g1^4*g2^4*t^5.65 + (g2^4*t^5.69)/g1^4 + g1^2*g2^2*t^5.82 + g1^4*t^5.98 - 2*t^6. + t^6.02/g1^4 + t^6.18/(g1^2*g2^2) - t^6.33/g2^4 + t^6.35/(g1^4*g2^4) - t^6.37/(g1^8*g2^4) + g1^7*g2^11*t^6.55 + g1^9*g2^9*t^6.7 + t^6.71/(g1^8*g2^8) + g1^11*g2^7*t^6.86 + g1^7*g2^7*t^6.88 + g1^3*g2^7*t^6.9 + (g2^7*t^6.92)/g1 + g1^9*g2^5*t^7.04 + g1^5*g2^5*t^7.06 + 2*g1*g2^5*t^7.08 + g1^11*g2^3*t^7.2 + 2*g1^7*g2^3*t^7.21 + 2*g1^3*g2^3*t^7.23 + g1^9*g2*t^7.37 + g1^5*g2*t^7.39 + g1*g2*t^7.41 + g1^18*g2^18*t^7.41 + (g2*t^7.43)/g1^3 + (g2*t^7.45)/g1^7 + (g1^7*t^7.55)/g2 + (g1^3*t^7.57)/g2 + t^7.59/(g1*g2) + t^7.61/(g1^5*g2) + g1^18*g2^14*t^7.74 + (2*g1*t^7.75)/g2^3 + g1^14*g2^14*t^7.76 + g1^10*g2^14*t^7.78 + t^7.96/(g1^9*g2^5) + t^7.98/(g1^13*g2^5) + g1^18*g2^10*t^8.08 + t^8.12/(g1^7*g2^7) + 3*g1^10*g2^10*t^8.12 + 2*g1^2*g2^10*t^8.16 + g1^18*g2^6*t^8.41 + 2*g1^10*g2^6*t^8.45 - g1^6*g2^6*t^8.47 + t^8.49/(g1^15*g2^11) + 3*g1^2*g2^6*t^8.49 + (g2^6*t^8.53)/g1^6 + g1^4*g2^4*t^8.65 - g2^4*t^8.67 + (g2^4*t^8.69)/g1^4 + 2*g1^10*g2^2*t^8.78 - 3*g1^6*g2^2*t^8.8 - (3*g2^2*t^8.84)/g1^2 + (g2^2*t^8.86)/g1^6 + g1^8*t^8.96 - g1^4*t^8.98 - (g1*g2*t^4.41)/y - (g1^7*g2^7*t^6.88)/y - (g1^7*g2^3*t^7.21)/y - (g2^3*t^7.25)/(g1*y) + (g1^3*t^7.57)/(g2*y) + t^7.61/(g1^5*g2*y) + t^7.94/(g1^5*g2^5*y) + (g1^12*g2^8*t^8.27)/y + (g1^8*g2^8*t^8.29)/y + (g1^4*g2^8*t^8.31)/y + (g1^6*g2^6*t^8.47)/y + (g1^8*g2^4*t^8.63)/y + (2*g1^4*g2^4*t^8.65)/y + (g2^4*t^8.67)/y + (g1^6*g2^2*t^8.8)/y + (2*g1^2*g2^2*t^8.82)/y + (g2^2*t^8.84)/(g1^2*y) + (g1^4*t^8.98)/y - g1*g2*t^4.41*y - g1^7*g2^7*t^6.88*y - g1^7*g2^3*t^7.21*y - (g2^3*t^7.25*y)/g1 + (g1^3*t^7.57*y)/g2 + (t^7.61*y)/(g1^5*g2) + (t^7.94*y)/(g1^5*g2^5) + g1^12*g2^8*t^8.27*y + g1^8*g2^8*t^8.29*y + g1^4*g2^8*t^8.31*y + g1^6*g2^6*t^8.47*y + g1^8*g2^4*t^8.63*y + 2*g1^4*g2^4*t^8.65*y + g2^4*t^8.67*y + g1^6*g2^2*t^8.8*y + 2*g1^2*g2^2*t^8.82*y + (g2^2*t^8.84*y)/g1^2 + g1^4*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
47161 | $M_1q_1q_2$ + $ 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_3\phi_1^2$ + $ M_1M_2$ | 0.6973 | 0.8552 | 0.8154 | [X:[], M:[0.9472, 1.0528, 1.0176, 0.912, 1.0], q:[0.4824, 0.5704], qb:[0.4648, 0.5176], phi:[0.4912]] | t^2.74 + t^2.84 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.16 + t^4.26 + t^4.32 + t^4.37 + t^4.42 + t^4.47 + 2*t^4.58 + t^4.63 + t^4.74 + t^4.9 + t^5.47 + t^5.58 + t^5.68 + 2*t^5.79 + 2*t^5.89 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail | |
46950 | $M_1q_1q_2$ + $ 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_3\phi_1^2$ + $ M_1M_4$ | 0.6972 | 0.855 | 0.8154 | [X:[], M:[0.949, 0.915, 1.017, 1.051, 1.0], q:[0.551, 0.5], qb:[0.534, 0.449], phi:[0.4915]] | t^2.75 + t^2.85 + t^2.95 + t^3. + t^3.05 + t^3.1 + t^3.15 + t^4.17 + t^4.32 + t^4.42 + 2*t^4.47 + t^4.58 + t^4.63 + t^4.68 + t^4.73 + t^4.78 + t^5.49 + t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail | |
47009 | $M_1q_1q_2$ + $ 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_3\phi_1^2$ + $ M_2^2$ | 0.7092 | 0.8704 | 0.8148 | [X:[], M:[0.8409, 1.0, 1.053, 0.8939, 1.0], q:[0.5265, 0.6326], qb:[0.4735, 0.4735], phi:[0.4735]] | t^2.52 + t^2.68 + t^2.84 + 2*t^3. + t^3.16 + t^3.32 + 3*t^4.26 + 2*t^4.42 + t^4.58 + 2*t^4.74 + t^4.9 + t^5.05 + t^5.2 + t^5.22 + 2*t^5.36 + t^5.52 + 3*t^5.68 + 2*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | |
46855 | $M_1q_1q_2$ + $ 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_3\phi_1^2$ + $ M_3M_6$ | 0.7172 | 0.8839 | 0.8115 | [X:[], M:[0.8005, 0.9418, 1.0665, 0.9252, 1.0, 0.9335], q:[0.5624, 0.6372], qb:[0.4959, 0.4376], phi:[0.4667]] | t^2.4 + t^2.78 + 2*t^2.8 + t^2.83 + t^3. + t^3.4 + t^4.03 + t^4.2 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.77 + 2*t^4.8 + t^5. + t^5.18 + 2*t^5.2 + t^5.22 + t^5.23 + t^5.55 + t^5.58 + 4*t^5.6 + t^5.63 + t^5.65 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*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 |
---|---|---|---|---|---|---|---|---|---|
46324 | 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$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |