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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[], M:[[4], [-12], [4], [12], [1], [-1]], 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_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ 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$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \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_4$, $ M_3M_4$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ q_1q_2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ M_6q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 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. + 2*t^6.04 + 8*t^6.34 + 4*t^6.64 + 3*t^6.68 + t^6.9 - 2*t^6.94 + 9*t^6.98 + 5*t^7.28 + 2*t^7.32 - 2*t^7.57 + 8*t^7.62 + t^7.66 - t^7.87 + 10*t^7.91 + 2*t^7.95 - 6*t^8.21 + 11*t^8.25 - 4*t^8.51 + 10*t^8.55 + 2*t^8.59 - 6*t^8.85 + 8*t^8.89 - t^4.57/y + t^7.72/y + (2*t^7.76)/y + (4*t^8.06)/y + (2*t^8.4)/y + (2*t^8.66)/y + (5*t^8.7)/y - t^4.57*y + t^7.72*y + 2*t^7.76*y + 4*t^8.06*y + 2*t^8.4*y + 2*t^8.66*y + 5*t^8.7*y | 2*g1*t^2.21 + g1^12*t^2.55 + 2*g1^4*t^2.85 + t^3.45/g1^12 + 2*g1^7*t^3.49 + (2*t^3.79)/g1 + 3*g1^10*t^4.13 + 3*g1^2*t^4.43 + 2*g1^13*t^4.76 + 4*g1^5*t^5.06 + g1^24*t^5.1 + 2*g1^16*t^5.4 + 6*g1^8*t^5.7 - t^6. + 2*g1^19*t^6.04 + 8*g1^11*t^6.34 + 4*g1^3*t^6.64 + 3*g1^22*t^6.68 + t^6.9/g1^24 - (2*t^6.94)/g1^5 + 9*g1^14*t^6.98 + 5*g1^6*t^7.28 + 2*g1^25*t^7.32 - (2*t^7.57)/g1^2 + 8*g1^17*t^7.62 + g1^36*t^7.66 - t^7.87/g1^10 + 10*g1^9*t^7.91 + 2*g1^28*t^7.95 - 6*g1*t^8.21 + 11*g1^20*t^8.25 - (4*t^8.51)/g1^7 + 10*g1^12*t^8.55 + 2*g1^31*t^8.59 - 6*g1^4*t^8.85 + 8*g1^23*t^8.89 - t^4.57/(g1^2*y) + t^7.72/(g1^6*y) + (2*g1^13*t^7.76)/y + (4*g1^5*t^8.06)/y + (2*g1^16*t^8.4)/y + (2*t^8.66)/(g1^11*y) + (5*g1^8*t^8.7)/y - (t^4.57*y)/g1^2 + (t^7.72*y)/g1^6 + 2*g1^13*t^7.76*y + 4*g1^5*t^8.06*y + 2*g1^16*t^8.4*y + (2*t^8.66*y)/g1^11 + 5*g1^8*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 |
---|---|---|---|---|---|---|---|---|
2393 | $M_1q_1q_2$ + $ 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]] | 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^4.56/y - t^4.56*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 |
---|---|---|---|---|---|---|---|---|---|
855 | 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$ | 0.6214 | 0.8083 | 0.7688 | [X:[], M:[0.9495, 1.1514, 0.9495, 0.8486, 0.7374], q:[0.7374, 0.3131], qb:[0.4243, 0.4243], phi:[0.5252]] | 3*t^2.21 + t^2.55 + 2*t^2.85 + t^3.45 + 2*t^3.49 + t^3.79 + 3*t^4.12 + 6*t^4.42 + 3*t^4.76 + 6*t^5.06 + t^5.09 + 2*t^5.39 + t^5.67 + 8*t^5.7 - 2*t^6. - t^4.58/y - t^4.58*y | detail |