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 |
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659 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_5q_1\tilde{q}_2$ | 0.6883 | 0.8556 | 0.8045 | [X:[], M:[1.0, 1.1178, 0.9699, 0.6767, 0.7644], q:[0.7794, 0.4261], qb:[0.5739, 0.4561], phi:[0.4411]] | [X:[], M:[[0], [4], [-18], [6], [-8]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_3M_5$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_3^2$, $ M_1M_3$, $ M_5q_1q_2$, $ M_4\phi_1q_2^2$ | . | -1 | t^2.03 + t^2.29 + t^2.65 + t^2.91 + t^3. + t^3.35 + t^3.62 + t^3.88 + 3*t^4.06 + 2*t^4.32 + t^4.41 + t^4.59 + t^4.68 + t^4.77 + 2*t^4.94 + t^5.03 + t^5.2 + 2*t^5.29 + t^5.38 + 2*t^5.65 + t^5.82 + 2*t^5.91 - t^6. + 2*t^6.09 + t^6.17 + t^6.26 + 3*t^6.35 + 2*t^6.53 + 2*t^6.62 + 3*t^6.71 + t^6.79 + t^6.8 + t^6.88 + 3*t^6.97 + 3*t^7.06 + 3*t^7.23 + t^7.32 + 2*t^7.41 + 2*t^7.5 + t^7.59 + 3*t^7.68 + t^7.76 + t^7.85 + 5*t^7.94 - 2*t^8.03 + t^8.11 + 4*t^8.12 + 3*t^8.2 - t^8.29 + 2*t^8.38 + 2*t^8.47 + 2*t^8.56 + 2*t^8.65 + t^8.73 + 3*t^8.82 + 3*t^8.83 - t^4.32/y - t^6.35/y - t^6.62/y - t^7.23/y + t^7.32/y + t^7.41/y + t^7.68/y + (2*t^7.94)/y + (2*t^8.03)/y + t^8.2/y + (2*t^8.29)/y + t^8.56/y + (2*t^8.65)/y + (2*t^8.91)/y - t^4.32*y - t^6.35*y - t^6.62*y - t^7.23*y + t^7.32*y + t^7.41*y + t^7.68*y + 2*t^7.94*y + 2*t^8.03*y + t^8.2*y + 2*t^8.29*y + t^8.56*y + 2*t^8.65*y + 2*t^8.91*y | g1^6*t^2.03 + t^2.29/g1^8 + t^2.65/g1^4 + t^2.91/g1^18 + t^3. + g1^4*t^3.35 + t^3.62/g1^10 + t^3.88/g1^24 + 3*g1^12*t^4.06 + (2*t^4.32)/g1^2 + g1^16*t^4.41 + t^4.59/g1^16 + g1^2*t^4.68 + g1^20*t^4.77 + (2*t^4.94)/g1^12 + g1^6*t^5.03 + t^5.2/g1^26 + (2*t^5.29)/g1^8 + g1^10*t^5.38 + (2*t^5.65)/g1^4 + t^5.82/g1^36 + (2*t^5.91)/g1^18 - t^6. + 2*g1^18*t^6.09 + t^6.17/g1^32 + t^6.26/g1^14 + 3*g1^4*t^6.35 + (2*t^6.53)/g1^28 + (2*t^6.62)/g1^10 + 3*g1^8*t^6.71 + t^6.79/g1^42 + g1^26*t^6.8 + t^6.88/g1^24 + (3*t^6.97)/g1^6 + 3*g1^12*t^7.06 + (3*t^7.23)/g1^20 + t^7.32/g1^2 + 2*g1^16*t^7.41 + (2*t^7.5)/g1^34 + t^7.59/g1^16 + 3*g1^2*t^7.68 + t^7.76/g1^48 + t^7.85/g1^30 + (5*t^7.94)/g1^12 - 2*g1^6*t^8.03 + t^8.11/g1^44 + 4*g1^24*t^8.12 + (3*t^8.2)/g1^26 - t^8.29/g1^8 + 2*g1^10*t^8.38 + t^8.47/g1^40 + g1^28*t^8.47 + (2*t^8.56)/g1^22 + (2*t^8.65)/g1^4 + t^8.73/g1^54 + (3*t^8.82)/g1^36 + 3*g1^32*t^8.83 - t^4.32/(g1^2*y) - (g1^4*t^6.35)/y - t^6.62/(g1^10*y) - t^7.23/(g1^20*y) + t^7.32/(g1^2*y) + (g1^16*t^7.41)/y + (g1^2*t^7.68)/y + (2*t^7.94)/(g1^12*y) + (2*g1^6*t^8.03)/y + t^8.2/(g1^26*y) + (2*t^8.29)/(g1^8*y) + t^8.56/(g1^22*y) + (2*t^8.65)/(g1^4*y) + (2*t^8.91)/(g1^18*y) - (t^4.32*y)/g1^2 - g1^4*t^6.35*y - (t^6.62*y)/g1^10 - (t^7.23*y)/g1^20 + (t^7.32*y)/g1^2 + g1^16*t^7.41*y + g1^2*t^7.68*y + (2*t^7.94*y)/g1^12 + 2*g1^6*t^8.03*y + (t^8.2*y)/g1^26 + (2*t^8.29*y)/g1^8 + (t^8.56*y)/g1^22 + (2*t^8.65*y)/g1^4 + (2*t^8.91*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
1050 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.7088 | 0.8951 | 0.7919 | [X:[], M:[1.0, 1.1154, 0.9806, 0.6731, 0.7692, 0.6925], q:[0.7789, 0.4326], qb:[0.5674, 0.452], phi:[0.4423]] | t^2.02 + t^2.08 + t^2.31 + t^2.65 + t^2.94 + t^3. + t^3.35 + t^3.63 + 3*t^4.04 + t^4.1 + t^4.16 + 2*t^4.33 + 2*t^4.39 + t^4.61 + t^4.67 + 2*t^4.73 + 2*t^4.96 + 2*t^5.02 + t^5.08 + t^5.25 + 2*t^5.31 + t^5.37 + t^5.42 + 2*t^5.65 + t^5.71 + t^5.88 + t^5.94 - t^6. - t^4.33/y - t^4.33*y | detail | |
1049 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.7054 | 0.8858 | 0.7964 | [X:[], M:[1.0, 1.1139, 0.9874, 0.6709, 0.7722, 0.7848], q:[0.7785, 0.4367], qb:[0.5633, 0.4494], phi:[0.443]] | t^2.01 + t^2.32 + t^2.35 + t^2.66 + t^2.96 + t^3. + t^3.34 + t^3.95 + 3*t^4.03 + 2*t^4.33 + 2*t^4.37 + t^4.63 + 2*t^4.67 + 2*t^4.71 + 2*t^4.97 + 2*t^5.01 + t^5.28 + 3*t^5.32 + 2*t^5.35 + t^5.66 + t^5.7 + t^5.92 + t^5.96 - t^6. - t^4.33/y - t^4.33*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 |
---|---|---|---|---|---|---|---|---|---|
410 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ | 0.67 | 0.8227 | 0.8144 | [X:[], M:[1.0, 1.115, 0.9824, 0.6725], q:[0.7788, 0.4337], qb:[0.5663, 0.4513], phi:[0.4425]] | t^2.02 + t^2.65 + t^2.95 + t^3. + t^3.35 + t^3.64 + t^3.69 + t^3.93 + 3*t^4.04 + t^4.33 + t^4.38 + t^4.67 + t^4.73 + t^4.96 + t^5.02 + t^5.31 + t^5.36 + t^5.65 + t^5.71 + t^5.89 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |