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 |
---|---|---|---|---|---|---|---|---|---|
2393 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6165 | 0.7954 | 0.7751 | [X:[], M:[0.9591, 1.1226, 0.9591, 0.8774, 0.7398, 1.2602, 0.8215], q:[0.7398, 0.3011], qb:[0.4387, 0.4387], phi:[0.5204]] | [X:[], M:[[4], [-12], [4], [12], [1], [-1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_7$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_7^2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4^2$, $ M_1M_7$, $ M_3M_7$, $ M_1M_4$, $ M_3M_4$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ q_1q_2\tilde{q}_2^2$, $ M_7\phi_1q_2^2$ | $M_4\phi_1q_2^2$, $ M_6q_2\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | 0 | 2*t^2.22 + t^2.46 + t^2.63 + 2*t^2.88 + t^3.37 + t^3.54 + 2*t^3.78 + 3*t^4.19 + 3*t^4.44 + 2*t^4.68 + 2*t^4.85 + t^4.93 + 5*t^5.1 + t^5.26 + 2*t^5.34 + 2*t^5.51 + 4*t^5.75 + t^5.83 + t^6.17 + 2*t^6.25 + 6*t^6.41 + 7*t^6.66 + t^6.74 + 3*t^6.83 + 7*t^7.07 + 2*t^7.15 + 5*t^7.32 + t^7.39 + 2*t^7.48 + 3*t^7.56 + 6*t^7.73 + t^7.81 + t^7.9 + 9*t^7.97 + 2*t^8.14 - 2*t^8.22 + t^8.3 + 9*t^8.39 - 4*t^8.46 + 7*t^8.63 + 2*t^8.71 + t^8.8 - t^4.56/y - t^7.03/y + (3*t^7.68)/y + (2*t^7.85)/y + (6*t^8.1)/y + (2*t^8.34)/y + (2*t^8.51)/y + (2*t^8.59)/y + (3*t^8.75)/y + t^8.83/y - t^4.56*y - t^7.03*y + 3*t^7.68*y + 2*t^7.85*y + 6*t^8.1*y + 2*t^8.34*y + 2*t^8.51*y + 2*t^8.59*y + 3*t^8.75*y + t^8.83*y | 2*g1*t^2.22 + t^2.46/g1^7 + g1^12*t^2.63 + 2*g1^4*t^2.88 + t^3.37/g1^12 + g1^7*t^3.54 + (2*t^3.78)/g1 + 3*g1^10*t^4.19 + 3*g1^2*t^4.44 + (2*t^4.68)/g1^6 + 2*g1^13*t^4.85 + t^4.93/g1^14 + 5*g1^5*t^5.1 + g1^24*t^5.26 + (2*t^5.34)/g1^3 + 2*g1^16*t^5.51 + 4*g1^8*t^5.75 + t^5.83/g1^19 + g1^19*t^6.17 + (2*t^6.25)/g1^8 + 6*g1^11*t^6.41 + 7*g1^3*t^6.66 + t^6.74/g1^24 + 3*g1^22*t^6.83 + 7*g1^14*t^7.07 + (2*t^7.15)/g1^13 + 5*g1^6*t^7.32 + t^7.39/g1^21 + 2*g1^25*t^7.48 + (3*t^7.56)/g1^2 + 6*g1^17*t^7.73 + t^7.81/g1^10 + g1^36*t^7.9 + 9*g1^9*t^7.97 + 2*g1^28*t^8.14 - 2*g1*t^8.22 + t^8.3/g1^26 + 9*g1^20*t^8.39 - (4*t^8.46)/g1^7 + 7*g1^12*t^8.63 + (2*t^8.71)/g1^15 + g1^31*t^8.8 - t^4.56/(g1^2*y) - t^7.03/(g1^9*y) + (3*t^7.68)/(g1^6*y) + (2*g1^13*t^7.85)/y + (6*g1^5*t^8.1)/y + (2*t^8.34)/(g1^3*y) + (2*g1^16*t^8.51)/y + (2*t^8.59)/(g1^11*y) + (3*g1^8*t^8.75)/y + t^8.83/(g1^19*y) - (t^4.56*y)/g1^2 - (t^7.03*y)/g1^9 + (3*t^7.68*y)/g1^6 + 2*g1^13*t^7.85*y + 6*g1^5*t^8.1*y + (2*t^8.34*y)/g1^3 + 2*g1^16*t^8.51*y + (2*t^8.59*y)/g1^11 + 3*g1^8*t^8.75*y + (t^8.83*y)/g1^19 |
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 |
---|---|---|---|---|---|---|---|---|
4418 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6321 | 0.8217 | 0.7693 | [X:[], M:[0.967, 1.099, 0.967, 0.901, 0.7418, 1.2582, 0.8077, 0.8077], q:[0.7418, 0.2912], qb:[0.4505, 0.4505], phi:[0.5165]] | 2*t^2.23 + 2*t^2.42 + t^2.7 + 2*t^2.9 + t^3.3 + 2*t^3.77 + 3*t^4.25 + 3*t^4.45 + 4*t^4.65 + 3*t^4.85 + 2*t^4.93 + 6*t^5.13 + 4*t^5.32 + t^5.41 + 2*t^5.6 + 2*t^5.72 + 2*t^5.8 - t^6. - t^4.55/y - t^4.55*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 |
---|---|---|---|---|---|---|---|---|---|
1350 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ | 0.6019 | 0.7721 | 0.7795 | [X:[], M:[0.9502, 1.1494, 0.9502, 0.8506, 0.7376, 1.2624], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]] | 2*t^2.21 + t^2.55 + 2*t^2.85 + t^3.45 + 2*t^3.49 + 2*t^3.79 + 3*t^4.13 + 3*t^4.43 + 2*t^4.76 + 4*t^5.06 + t^5.1 + 2*t^5.4 + 6*t^5.7 - t^6. - t^4.57/y - t^4.57*y | detail |