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 |
---|---|---|---|---|---|---|---|---|---|
3139 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_7\phi_1q_1^2$ | 0.6315 | 0.779 | 0.8106 | [X:[1.6066], M:[0.8198, 0.7538, 1.1802, 0.3934, 0.8198, 1.2132, 0.8198], q:[0.3934, 0.7868], qb:[0.4264, 0.8198], phi:[0.3934]] | [X:[[1]], M:[[3], [-7], [-3], [-1], [3], [2], [3]], q:[[-1], [-2]], qb:[[4], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ M_5$, $ M_7$, $ M_6$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_7$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ \phi_1q_2^2$ | . | -4 | t^2.26 + 3*t^2.46 + 4*t^3.64 + t^3.74 + t^4.52 + 3*t^4.72 + t^4.82 + 6*t^4.92 + 2*t^5.9 - 4*t^6. + 10*t^6.1 + 3*t^6.2 + t^6.78 + 3*t^6.98 - t^7.08 + 6*t^7.28 + 12*t^7.38 + t^7.48 + 2*t^8.16 - 4*t^8.26 + 3*t^8.36 - 12*t^8.46 + 17*t^8.56 + 6*t^8.66 - t^4.18/y - t^6.44/y - (2*t^6.64)/y + (5*t^7.72)/y + (4*t^7.92)/y - t^8.7/y + (2*t^8.9)/y - t^4.18*y - t^6.44*y - 2*t^6.64*y + 5*t^7.72*y + 4*t^7.92*y - t^8.7*y + 2*t^8.9*y | t^2.26/g1^7 + 3*g1^3*t^2.46 + 4*g1^2*t^3.64 + g1^7*t^3.74 + t^4.52/g1^14 + (3*t^4.72)/g1^4 + g1*t^4.82 + 6*g1^6*t^4.92 + (2*t^5.9)/g1^5 - 4*t^6. + 10*g1^5*t^6.1 + 3*g1^10*t^6.2 + t^6.78/g1^21 + (3*t^6.98)/g1^11 - t^7.08/g1^6 + 6*g1^4*t^7.28 + 12*g1^9*t^7.38 + g1^14*t^7.48 + (2*t^8.16)/g1^12 - (4*t^8.26)/g1^7 + (3*t^8.36)/g1^2 - 12*g1^3*t^8.46 + 17*g1^8*t^8.56 + 6*g1^13*t^8.66 - t^4.18/(g1*y) - t^6.44/(g1^8*y) - (2*g1^2*t^6.64)/y + (5*t^7.72)/(g1^4*y) + (4*g1^6*t^7.92)/y - t^8.7/(g1^15*y) + (2*t^8.9)/(g1^5*y) - (t^4.18*y)/g1 - (t^6.44*y)/g1^8 - 2*g1^2*t^6.64*y + (5*t^7.72*y)/g1^4 + 4*g1^6*t^7.92*y - (t^8.7*y)/g1^15 + (2*t^8.9*y)/g1^5 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2072 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6165 | 0.7522 | 0.8196 | [X:[1.6096], M:[0.8288, 0.7328, 1.1712, 0.3904, 0.8288, 1.2192], q:[0.3904, 0.7808], qb:[0.4384, 0.8288], phi:[0.3904]] | t^2.2 + 2*t^2.49 + t^3.51 + 4*t^3.66 + t^3.8 + t^4.4 + 2*t^4.68 + t^4.83 + 3*t^4.97 + t^5.71 + 2*t^5.86 - 2*t^6. - t^4.17/y - t^4.17*y | detail |