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 |
---|---|---|---|---|---|---|---|---|---|
945 | 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$ + $ M_1^2$ + $ M_3\phi_1^2$ | 0.6934 | 0.8487 | 0.8171 | [X:[], M:[1.0, 0.979, 1.0105, 0.9685, 1.0315], q:[0.5105, 0.4895], qb:[0.479, 0.542], phi:[0.4948]] | [X:[], M:[[0], [-4], [2], [-6], [6]], q:[[2], [-2]], qb:[[-4], [8]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_3$, $ M_1\phi_1^2$ | . | -1 | t^2.91 + t^2.94 + t^2.97 + t^3. + t^3.03 + t^3.09 + t^3.16 + t^4.36 + t^4.39 + t^4.42 + t^4.45 + t^4.48 + 2*t^4.55 + t^4.58 + t^4.64 + t^4.74 + 2*t^5.87 + 2*t^5.94 + t^5.97 - t^6. + t^6.03 + t^6.06 + 2*t^6.13 + t^6.19 + t^6.25 + t^6.31 + t^7.26 + t^7.3 + 2*t^7.33 + 3*t^7.36 + t^7.39 + 2*t^7.42 + 2*t^7.45 + t^7.48 + 3*t^7.52 + 2*t^7.55 + t^7.58 + t^7.61 + 2*t^7.64 + t^7.67 + 2*t^7.7 + 2*t^7.74 + t^7.8 + t^7.83 + t^7.89 + t^8.72 + t^8.75 + t^8.78 + 2*t^8.81 + 2*t^8.84 + 2*t^8.91 - t^8.94 - t^4.48/y - t^7.42/y + t^7.55/y + t^8.84/y + t^8.87/y + (2*t^8.91)/y + (2*t^8.94)/y + (2*t^8.97)/y - t^4.48*y - t^7.42*y + t^7.55*y + t^8.84*y + t^8.87*y + 2*t^8.91*y + 2*t^8.94*y + 2*t^8.97*y | t^2.91/g1^6 + t^2.94/g1^4 + t^2.97/g1^2 + t^3. + g1^2*t^3.03 + g1^6*t^3.09 + g1^10*t^3.16 + t^4.36/g1^9 + t^4.39/g1^7 + t^4.42/g1^5 + t^4.45/g1^3 + t^4.48/g1 + 2*g1^3*t^4.55 + g1^5*t^4.58 + g1^9*t^4.64 + g1^15*t^4.74 + (2*t^5.87)/g1^8 + (2*t^5.94)/g1^4 + t^5.97/g1^2 - t^6. + g1^2*t^6.03 + g1^4*t^6.06 + 2*g1^8*t^6.13 + g1^12*t^6.19 + g1^16*t^6.25 + g1^20*t^6.31 + t^7.26/g1^15 + t^7.3/g1^13 + (2*t^7.33)/g1^11 + (3*t^7.36)/g1^9 + t^7.39/g1^7 + (2*t^7.42)/g1^5 + (2*t^7.45)/g1^3 + t^7.48/g1 + 3*g1*t^7.52 + 2*g1^3*t^7.55 + g1^5*t^7.58 + g1^7*t^7.61 + 2*g1^9*t^7.64 + g1^11*t^7.67 + 2*g1^13*t^7.7 + 2*g1^15*t^7.74 + g1^19*t^7.8 + g1^21*t^7.83 + g1^25*t^7.89 + t^8.72/g1^18 + t^8.75/g1^16 + t^8.78/g1^14 + (2*t^8.81)/g1^12 + (2*t^8.84)/g1^10 + (2*t^8.91)/g1^6 - t^8.94/g1^4 - t^4.48/(g1*y) - t^7.42/(g1^5*y) + (g1^3*t^7.55)/y + t^8.84/(g1^10*y) + t^8.87/(g1^8*y) + (2*t^8.91)/(g1^6*y) + (2*t^8.94)/(g1^4*y) + (2*t^8.97)/(g1^2*y) - (t^4.48*y)/g1 - (t^7.42*y)/g1^5 + g1^3*t^7.55*y + (t^8.84*y)/g1^10 + (t^8.87*y)/g1^8 + (2*t^8.91*y)/g1^6 + (2*t^8.94*y)/g1^4 + (2*t^8.97*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1457 | $M_1q_1q_2$ + $ 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$ + $ M_1^2$ + $ M_3\phi_1^2$ + $ M_3M_6$ | 0.6945 | 0.8504 | 0.8167 | [X:[], M:[1.0, 0.9738, 1.0131, 0.9606, 1.0394, 0.9869], q:[0.5131, 0.4869], qb:[0.4738, 0.5525], phi:[0.4934]] | t^2.88 + t^2.92 + 2*t^2.96 + t^3. + t^3.12 + t^3.2 + t^4.32 + t^4.36 + t^4.4 + t^4.44 + t^4.48 + 2*t^4.56 + t^4.6 + t^4.68 + t^4.8 + 3*t^5.84 + t^5.88 + 3*t^5.92 + t^5.96 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
1458 | $M_1q_1q_2$ + $ 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$ + $ M_1^2$ + $ M_3\phi_1^2$ + $ M_5M_6$ | 0.6974 | 0.8554 | 0.8153 | [X:[], M:[1.0, 0.9635, 1.0183, 0.9452, 1.0548, 0.9452], q:[0.5183, 0.4817], qb:[0.4635, 0.5731], phi:[0.4909]] | 2*t^2.84 + t^2.89 + t^2.95 + t^3. + t^3.05 + t^3.27 + t^4.25 + t^4.31 + t^4.36 + t^4.42 + t^4.47 + 2*t^4.58 + t^4.64 + t^4.75 + t^4.91 + 2*t^5.67 + t^5.73 + 3*t^5.78 + t^5.84 + 3*t^5.89 + t^5.95 - 2*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
598 | 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$ + $ M_1^2$ | 0.7203 | 0.8855 | 0.8134 | [X:[], M:[1.0, 0.8402, 0.8171, 1.0231, 0.9769], q:[0.5799, 0.4201], qb:[0.603, 0.5568], phi:[0.4601]] | t^2.45 + t^2.52 + t^2.76 + t^2.93 + t^3. + t^3.07 + t^3.41 + t^3.9 + t^4.31 + t^4.38 + t^4.45 + t^4.72 + t^4.79 + 2*t^4.86 + t^4.9 + t^4.93 + t^4.97 + t^5. + t^5.04 + t^5.21 + t^5.28 + t^5.38 + t^5.45 + 2*t^5.52 + t^5.69 + t^5.76 + t^5.83 + t^5.86 - 2*t^6. - t^4.38/y - t^4.38*y | detail |