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 |
---|---|---|---|---|---|---|---|---|---|
570 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.6307 | 0.7901 | 0.7983 | [X:[], M:[0.7999, 1.2001, 0.7999, 1.1499], q:[0.75, 0.4501], qb:[0.3999, 0.3999], phi:[0.5]] | [X:[], M:[[2], [-2], [2], [1]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_3q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$ | $M_4q_2\tilde{q}_2$ | -2 | 2*t^2.4 + t^2.55 + t^3. + 3*t^3.45 + 3*t^3.9 + 2*t^4.05 + t^4.2 + 3*t^4.8 + 2*t^4.95 + t^5.1 + 2*t^5.4 + t^5.55 + 4*t^5.85 - 2*t^6. - 2*t^6.15 + 6*t^6.3 + 6*t^6.45 + 2*t^6.6 + t^6.75 + 5*t^6.9 - 2*t^7.05 + 4*t^7.2 + 8*t^7.35 + 8*t^7.8 + 4*t^7.95 + 3*t^8.1 + 7*t^8.25 - 5*t^8.4 - 6*t^8.55 + 7*t^8.7 + 8*t^8.85 - t^4.5/y - t^6.9/y + t^7.05/y + t^7.8/y + t^7.95/y + t^8.1/y + (2*t^8.4)/y + t^8.55/y + (6*t^8.85)/y - t^4.5*y - t^6.9*y + t^7.05*y + t^7.8*y + t^7.95*y + t^8.1*y + 2*t^8.4*y + t^8.55*y + 6*t^8.85*y | 2*g1^2*t^2.4 + t^2.55/g1 + t^3. + 3*g1*t^3.45 + 3*g1^2*t^3.9 + (2*t^4.05)/g1 + t^4.2/g1^4 + 3*g1^4*t^4.8 + 2*g1*t^4.95 + t^5.1/g1^2 + 2*g1^2*t^5.4 + t^5.55/g1 + 4*g1^3*t^5.85 - 2*t^6. - (2*t^6.15)/g1^3 + 6*g1^4*t^6.3 + 6*g1*t^6.45 + (2*t^6.6)/g1^2 + t^6.75/g1^5 + 5*g1^2*t^6.9 - (2*t^7.05)/g1 + 4*g1^6*t^7.2 + 8*g1^3*t^7.35 + 8*g1^4*t^7.8 + 4*g1*t^7.95 + (3*t^8.1)/g1^2 + (2*t^8.25)/g1^5 + 5*g1^5*t^8.25 + t^8.4/g1^8 - 6*g1^2*t^8.4 - (6*t^8.55)/g1 - (2*t^8.7)/g1^4 + 9*g1^6*t^8.7 + 8*g1^3*t^8.85 - t^4.5/y - (g1^2*t^6.9)/y + t^7.05/(g1*y) + (g1^4*t^7.8)/y + (g1*t^7.95)/y + t^8.1/(g1^2*y) + (2*g1^2*t^8.4)/y + t^8.55/(g1*y) + (6*g1^3*t^8.85)/y - t^4.5*y - g1^2*t^6.9*y + (t^7.05*y)/g1 + g1^4*t^7.8*y + g1*t^7.95*y + (t^8.1*y)/g1^2 + 2*g1^2*t^8.4*y + (t^8.55*y)/g1 + 6*g1^3*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
885 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_2$ | 0.6178 | 0.7693 | 0.803 | [X:[], M:[0.7877, 1.2123, 0.7877, 1.1439, 1.1439], q:[0.75, 0.4623], qb:[0.3939, 0.3939], phi:[0.5]] | 2*t^2.36 + t^3. + 4*t^3.43 + 3*t^3.86 + 2*t^4.07 + t^4.27 + 3*t^4.73 + 2*t^5.36 + 6*t^5.79 - 5*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
360 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4q_2\tilde{q}_1$ | 0.6314 | 0.7921 | 0.7972 | [X:[], M:[0.7994, 1.2006, 0.7994, 1.1301], q:[0.75, 0.4506], qb:[0.4193, 0.3801], phi:[0.5]] | 2*t^2.4 + t^2.49 + t^3. + 2*t^3.39 + t^3.51 + t^3.78 + t^3.9 + t^3.99 + t^4.02 + t^4.11 + t^4.2 + 3*t^4.8 + 2*t^4.89 + t^4.98 + 2*t^5.4 + t^5.49 + 3*t^5.79 + t^5.88 + t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail |