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 |
---|---|---|---|---|---|---|---|---|---|
45844 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1q_2\tilde{q}_1$ | 0.6281 | 0.758 | 0.8286 | [X:[], M:[0.6967], q:[0.8158, 0.8292], qb:[0.4741, 0.4607], phi:[0.3551]] | [X:[], M:[[-5, 1]], q:[[-1, 2], [2, -1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1q_1\tilde{q}_1$, $ M_1q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.09 + t^2.13 + t^2.8 + 2*t^3.83 + 3*t^3.87 + t^3.91 + t^4.18 + t^4.22 + t^4.26 + t^4.89 + 2*t^4.93 + t^5.61 + 2*t^5.92 + 3*t^5.96 - t^6. - t^6.04 + t^6.27 + t^6.31 + t^6.35 + t^6.39 + 2*t^6.63 + 3*t^6.67 + t^6.71 + t^6.98 - 2*t^7.07 - 2*t^7.11 + 3*t^7.66 + 5*t^7.7 + 5*t^7.74 + t^7.78 + t^7.82 + 2*t^8.01 + 3*t^8.05 - t^8.09 - 2*t^8.13 - t^8.17 + t^8.36 + t^8.4 + t^8.41 + t^8.44 + t^8.48 + t^8.52 + 2*t^8.72 + 3*t^8.76 - 2*t^8.8 - 2*t^8.84 - t^4.07/y - t^6.16/y - t^6.2/y + t^7.22/y + t^7.89/y + (2*t^7.93)/y + t^7.98/y - t^8.25/y - t^8.29/y - t^8.33/y + (2*t^8.92)/y + (5*t^8.96)/y - t^4.07*y - t^6.16*y - t^6.2*y + t^7.22*y + t^7.89*y + 2*t^7.93*y + t^7.98*y - t^8.25*y - t^8.29*y - t^8.33*y + 2*t^8.92*y + 5*t^8.96*y | (g2*t^2.09)/g1^5 + t^2.13/(g1^2*g2^2) + g1^3*g2^3*t^2.8 + (2*g2^5*t^3.83)/g1 + 3*g1^2*g2^2*t^3.87 + (g1^5*t^3.91)/g2 + (g2^2*t^4.18)/g1^10 + t^4.22/(g1^7*g2) + t^4.26/(g1^4*g2^4) + (g2^4*t^4.89)/g1^2 + 2*g1*g2*t^4.93 + g1^6*g2^6*t^5.61 + (2*g2^6*t^5.92)/g1^6 + (3*g2^3*t^5.96)/g1^3 - t^6. - (g1^3*t^6.04)/g2^3 + (g2^3*t^6.27)/g1^15 + t^6.31/g1^12 + t^6.35/(g1^9*g2^3) + t^6.39/(g1^6*g2^6) + 2*g1^2*g2^8*t^6.63 + 3*g1^5*g2^5*t^6.67 + g1^8*g2^2*t^6.71 + (g2^5*t^6.98)/g1^7 - (2*t^7.07)/(g1*g2) - (2*g1^2*t^7.11)/g2^4 + (3*g2^10*t^7.66)/g1^2 + 5*g1*g2^7*t^7.7 + 5*g1^4*g2^4*t^7.74 + g1^7*g2*t^7.78 + (g1^10*t^7.82)/g2^2 + (2*g2^7*t^8.01)/g1^11 + (3*g2^4*t^8.05)/g1^8 - (g2*t^8.09)/g1^5 - (2*t^8.13)/(g1^2*g2^2) - (g1*t^8.17)/g2^5 + (g2^4*t^8.36)/g1^20 + (g2*t^8.4)/g1^17 + g1^9*g2^9*t^8.41 + t^8.44/(g1^14*g2^2) + t^8.48/(g1^11*g2^5) + t^8.52/(g1^8*g2^8) + (2*g2^9*t^8.72)/g1^3 + 3*g2^6*t^8.76 - 2*g1^3*g2^3*t^8.8 - 2*g1^6*t^8.84 - t^4.07/(g1*g2*y) - t^6.16/(g1^6*y) - t^6.2/(g1^3*g2^3*y) + t^7.22/(g1^7*g2*y) + (g2^4*t^7.89)/(g1^2*y) + (2*g1*g2*t^7.93)/y + (g1^4*t^7.98)/(g2^2*y) - (g2*t^8.25)/(g1^11*y) - t^8.29/(g1^8*g2^2*y) - t^8.33/(g1^5*g2^5*y) + (2*g2^6*t^8.92)/(g1^6*y) + (5*g2^3*t^8.96)/(g1^3*y) - (t^4.07*y)/(g1*g2) - (t^6.16*y)/g1^6 - (t^6.2*y)/(g1^3*g2^3) + (t^7.22*y)/(g1^7*g2) + (g2^4*t^7.89*y)/g1^2 + 2*g1*g2*t^7.93*y + (g1^4*t^7.98*y)/g2^2 - (g2*t^8.25*y)/g1^11 - (t^8.29*y)/(g1^8*g2^2) - (t^8.33*y)/(g1^5*g2^5) + (2*g2^6*t^8.92*y)/g1^6 + (5*g2^3*t^8.96*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
45937 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.5336 | 0.6056 | 0.881 | [X:[1.4237], M:[0.8645], q:[1.0, 0.7118], qb:[0.4237, 0.7118], phi:[0.2882]] | t^2.59 + 2*t^3.41 + 4*t^4.27 + t^5.14 + t^5.19 - 5*t^6. - t^3.86/y - t^3.86*y | detail | |
45935 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.6078 | 0.721 | 0.843 | [X:[], M:[0.7025, 1.2818], q:[0.8126, 0.8283], qb:[0.4692, 0.4535], phi:[0.3591]] | t^2.11 + t^2.77 + 2*t^3.8 + 4*t^3.85 + t^3.89 + t^4.21 + t^4.88 + t^4.92 + t^5.54 + 2*t^5.91 + 2*t^5.95 - 4*t^6. - t^4.08/y - t^4.08*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 |
---|---|---|---|---|---|---|---|---|---|
45833 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6281 | 0.7582 | 0.8284 | [X:[], M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]] | t^2.08 + t^2.13 + t^2.8 + t^3.82 + 2*t^3.84 + t^3.87 + 2*t^3.89 + t^4.16 + t^4.21 + t^4.26 + t^4.88 + 2*t^4.93 + t^5.61 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.07/y - t^4.07*y | detail |