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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2223 | 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_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_3M_7$ | 0.6449 | 0.7968 | 0.8093 | [X:[], M:[1.176, 1.0787, 0.97, 0.824, 0.7153, 1.0787, 1.03], q:[0.7697, 0.3577], qb:[0.4663, 0.5637], phi:[0.4607]] | [X:[], M:[[8], [-4], [10], [-8], [6], [-4], [-10]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_5$, $ M_4$, $ M_7$, $ M_2$, $ M_6$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_5M_7$, $ M_2M_5$, $ M_5M_6$, $ M_5q_1q_2$, $ M_4M_7$, $ M_2M_4$, $ M_4M_6$, $ M_4q_1q_2$, $ M_5q_1\tilde{q}_1$ | . | -2 | t^2.15 + t^2.47 + t^3.09 + 2*t^3.24 + t^3.38 + t^3.53 + t^3.71 + t^4. + t^4.15 + t^4.18 + t^4.29 + t^4.47 + t^4.62 + t^4.76 + t^4.94 + t^5.24 + t^5.38 + t^5.53 + t^5.56 + t^5.71 + 2*t^5.85 - 2*t^6. + 2*t^6.18 + 2*t^6.33 + t^6.44 + 3*t^6.47 + 2*t^6.62 + t^6.65 + t^6.76 + t^6.8 + t^6.91 + 2*t^6.94 + t^7.09 + 2*t^7.24 + t^7.27 + t^7.38 + 3*t^7.42 + 2*t^7.53 + t^7.56 + t^7.67 + 2*t^7.71 + t^7.85 + t^7.89 + 2*t^8. + t^8.03 - 2*t^8.15 + 2*t^8.18 + t^8.29 + 2*t^8.33 + t^8.36 + t^8.58 + 3*t^8.65 + t^8.8 + 3*t^8.94 - t^4.38/y - t^6.53/y + t^7.15/y + (2*t^8.24)/y + (2*t^8.38)/y + t^8.53/y + t^8.56/y + (2*t^8.71)/y + (2*t^8.85)/y - t^4.38*y - t^6.53*y + t^7.15*y + 2*t^8.24*y + 2*t^8.38*y + t^8.53*y + t^8.56*y + 2*t^8.71*y + 2*t^8.85*y | g1^6*t^2.15 + t^2.47/g1^8 + t^3.09/g1^10 + (2*t^3.24)/g1^4 + g1^2*t^3.38 + g1^8*t^3.53 + t^3.71/g1^12 + t^4. + g1^6*t^4.15 + t^4.18/g1^20 + g1^12*t^4.29 + t^4.47/g1^8 + t^4.62/g1^2 + g1^4*t^4.76 + t^4.94/g1^16 + t^5.24/g1^4 + g1^2*t^5.38 + g1^8*t^5.53 + t^5.56/g1^18 + t^5.71/g1^12 + (2*t^5.85)/g1^6 - 2*t^6. + (2*t^6.18)/g1^20 + (2*t^6.33)/g1^14 + g1^18*t^6.44 + (3*t^6.47)/g1^8 + (2*t^6.62)/g1^2 + t^6.65/g1^28 + g1^4*t^6.76 + t^6.8/g1^22 + g1^10*t^6.91 + (2*t^6.94)/g1^16 + t^7.09/g1^10 + (2*t^7.24)/g1^4 + t^7.27/g1^30 + g1^2*t^7.38 + (3*t^7.42)/g1^24 + 2*g1^8*t^7.53 + t^7.56/g1^18 + g1^14*t^7.67 + (2*t^7.71)/g1^12 + t^7.85/g1^6 + t^7.89/g1^32 + 2*t^8. + t^8.03/g1^26 - 2*g1^6*t^8.15 + (2*t^8.18)/g1^20 + g1^12*t^8.29 + (2*t^8.33)/g1^14 + t^8.36/g1^40 + g1^24*t^8.58 + (3*t^8.65)/g1^28 + t^8.8/g1^22 + (3*t^8.94)/g1^16 - (g1^2*t^4.38)/y - (g1^8*t^6.53)/y + (g1^6*t^7.15)/y + (2*t^8.24)/(g1^4*y) + (2*g1^2*t^8.38)/y + (g1^8*t^8.53)/y + t^8.56/(g1^18*y) + (2*t^8.71)/(g1^12*y) + (2*t^8.85)/(g1^6*y) - g1^2*t^4.38*y - g1^8*t^6.53*y + g1^6*t^7.15*y + (2*t^8.24*y)/g1^4 + 2*g1^2*t^8.38*y + g1^8*t^8.53*y + (t^8.56*y)/g1^18 + (2*t^8.71*y)/g1^12 + (2*t^8.85*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|---|
1167 | 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_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6493 | 0.8027 | 0.8089 | [X:[], M:[1.1478, 1.0927, 0.9348, 0.8522, 0.6942, 1.0927], q:[0.7732, 0.3471], qb:[0.505, 0.5601], phi:[0.4536]] | t^2.08 + t^2.56 + t^2.8 + 2*t^3.28 + t^3.36 + t^3.44 + t^3.83 + t^4. + t^4.08 + t^4.17 + t^4.39 + t^4.56 + t^4.64 + t^4.72 + t^4.89 + t^5.11 + 2*t^5.36 + t^5.44 + t^5.61 + t^5.83 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*y | detail |