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 |
---|---|---|---|---|---|---|---|---|---|
53488 | 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_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ + $ M_1M_4$ | 0.7134 | 0.8806 | 0.8101 | [X:[], M:[0.9499, 0.8496, 0.9499, 1.0501, 1.0501, 0.8496], q:[0.5251, 0.5251], qb:[0.6253, 0.4248], phi:[0.4749]] | [X:[], M:[[2], [6], [2], [-2], [-2], [6]], q:[[-1], [-1]], qb:[[-5], [3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_6$, $ M_1$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_5$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_6$, $ M_3M_6$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_2M_4$, $ M_2M_5$, $ M_4M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^4$ | $M_3M_4$, $ M_1M_5$, $ M_5\phi_1^2$ | 0 | 2*t^2.55 + 3*t^2.85 + 2*t^3.15 + t^3.97 + 2*t^4.27 + 4*t^4.58 + 2*t^4.88 + 3*t^5.1 + t^5.18 + 5*t^5.4 + 6*t^5.7 - 2*t^6.3 + 2*t^6.52 - t^6.6 + 6*t^6.82 + 10*t^7.12 + 9*t^7.42 + 4*t^7.65 + 3*t^7.73 + 8*t^7.95 + 10*t^8.25 + 3*t^8.55 - 6*t^8.85 - t^4.42/y - (2*t^6.97)/y - t^7.27/y + t^7.58/y + (2*t^7.88)/y + t^8.1/y + (6*t^8.4)/y + (7*t^8.7)/y - t^4.42*y - 2*t^6.97*y - t^7.27*y + t^7.58*y + 2*t^7.88*y + t^8.1*y + 6*t^8.4*y + 7*t^8.7*y | 2*g1^6*t^2.55 + 3*g1^2*t^2.85 + (2*t^3.15)/g1^2 + g1^7*t^3.97 + 2*g1^3*t^4.27 + (4*t^4.58)/g1 + (2*t^4.88)/g1^5 + 3*g1^12*t^5.1 + t^5.18/g1^9 + 5*g1^8*t^5.4 + 6*g1^4*t^5.7 - (2*t^6.3)/g1^4 + 2*g1^13*t^6.52 - t^6.6/g1^8 + 6*g1^9*t^6.82 + 10*g1^5*t^7.12 + 9*g1*t^7.42 + 4*g1^18*t^7.65 + (3*t^7.73)/g1^3 + 8*g1^14*t^7.95 + 10*g1^10*t^8.25 + 3*g1^6*t^8.55 - 6*g1^2*t^8.85 - (g1*t^4.42)/y - (2*g1^7*t^6.97)/y - (g1^3*t^7.27)/y + t^7.58/(g1*y) + (2*t^7.88)/(g1^5*y) + (g1^12*t^8.1)/y + (6*g1^8*t^8.4)/y + (7*g1^4*t^8.7)/y - g1*t^4.42*y - 2*g1^7*t^6.97*y - g1^3*t^7.27*y + (t^7.58*y)/g1 + (2*t^7.88*y)/g1^5 + g1^12*t^8.1*y + 6*g1^8*t^8.4*y + 7*g1^4*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
56462 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ + $ M_1M_4$ + $ M_4M_7$ | 0.7183 | 0.89 | 0.807 | [X:[], M:[0.9449, 0.8347, 0.9449, 1.0551, 1.0551, 0.8347, 0.9449], q:[0.5275, 0.5275], qb:[0.6377, 0.4174], phi:[0.4725]] | 2*t^2.5 + 4*t^2.83 + t^3.17 + t^3.92 + 2*t^4.25 + 4*t^4.58 + 2*t^4.91 + 3*t^5.01 + t^5.24 + 7*t^5.34 + 8*t^5.67 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
56463 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ + $ M_1M_4$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.7342 | 0.9217 | 0.7966 | [X:[], M:[0.9505, 0.8516, 0.9505, 1.0495, 1.0495, 0.8516, 0.6731], q:[0.5247, 0.5247], qb:[0.6236, 0.4258], phi:[0.4753]] | t^2.02 + 2*t^2.55 + 3*t^2.85 + 2*t^3.15 + t^4.04 + 2*t^4.28 + 6*t^4.57 + 5*t^4.87 + 3*t^5.11 + 3*t^5.17 + 5*t^5.41 + 6*t^5.7 - t^4.43/y - t^4.43*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 |
---|---|---|---|---|---|---|---|---|---|
47230 | 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_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ | 0.7182 | 0.8876 | 0.8092 | [X:[], M:[0.8798, 0.8198, 1.0, 1.0601, 1.0, 0.8798], q:[0.5901, 0.53], qb:[0.5901, 0.4099], phi:[0.47]] | t^2.46 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.87 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.92 + 3*t^4.95 + 2*t^5.1 + 4*t^5.28 + 2*t^5.46 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y | detail |