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 |
---|---|---|---|---|---|---|---|---|---|
45982 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ | 0.6151 | 0.7899 | 0.7787 | [X:[], M:[1.0, 0.877, 0.6721], q:[0.7654, 0.2346], qb:[0.5625, 0.5605], phi:[0.4693]] | [X:[], M:[[0, 0], [-8, -8], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_2M_3$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_3\phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_1$ | . | -3 | t^2.02 + 2*t^2.39 + t^2.63 + 2*t^2.82 + t^3. + t^3.79 + t^3.8 + t^3.98 + t^4.03 + t^4.4 + t^4.41 + t^4.65 + 2*t^4.77 + 4*t^4.78 + 2*t^4.83 + t^5.02 + 2*t^5.2 + 2*t^5.21 + t^5.26 + 2*t^5.39 + 2*t^5.45 + 4*t^5.63 + t^5.81 + 2*t^5.82 - 3*t^6. - t^6.01 + t^6.05 + 2*t^6.18 + t^6.19 + t^6.36 + 2*t^6.42 + 3*t^6.61 + t^6.66 + 5*t^6.79 + t^6.8 + 2*t^6.85 - 3*t^6.98 + t^7.03 + 4*t^7.16 + 4*t^7.17 + 4*t^7.22 + t^7.28 + t^7.4 - t^7.41 + 2*t^7.46 + 6*t^7.59 + 4*t^7.6 + 4*t^7.65 + 2*t^7.77 + 2*t^7.78 + 3*t^7.83 + t^7.89 - t^7.96 - t^7.97 + 2*t^8.02 + t^8.07 + 2*t^8.08 + t^8.19 + 2*t^8.2 + 2*t^8.21 + 4*t^8.26 - 10*t^8.39 - t^8.4 + t^8.43 + t^8.44 + 5*t^8.45 + 2*t^8.56 + t^8.57 + 3*t^8.58 + 2*t^8.62 + t^8.68 + 2*t^8.75 + 2*t^8.8 + t^8.81 - 9*t^8.82 + 2*t^8.86 - t^4.41/y - t^6.42/y - t^7.04/y - t^7.22/y + t^7.4/y + t^7.41/y + t^7.59/y + t^7.65/y + (2*t^7.78)/y + (2*t^7.83)/y + (3*t^8.02)/y + (2*t^8.2)/y + (2*t^8.21)/y + (3*t^8.39)/y - t^8.44/y + (2*t^8.45)/y + (2*t^8.63)/y + t^8.81/y + (3*t^8.82)/y + t^8.99/y - t^4.41*y - t^6.42*y - t^7.04*y - t^7.22*y + t^7.4*y + t^7.41*y + t^7.59*y + t^7.65*y + 2*t^7.78*y + 2*t^7.83*y + 3*t^8.02*y + 2*t^8.2*y + 2*t^8.21*y + 3*t^8.39*y - t^8.44*y + 2*t^8.45*y + 2*t^8.63*y + t^8.81*y + 3*t^8.82*y + t^8.99*y | t^2.02/(g1^9*g2) + (g1^7*t^2.39)/g2 + (g2^7*t^2.39)/g1 + t^2.63/(g1^8*g2^8) + (2*t^2.82)/(g1^4*g2^4) + t^3. + (g2^5*t^3.79)/g1^3 + (g1^5*t^3.8)/g2^3 + g1*g2^9*t^3.98 + t^4.03/(g1^18*g2^2) + (g2^6*t^4.4)/g1^10 + t^4.41/(g1^2*g2^2) + t^4.65/(g1^17*g2^9) + (2*g2^14*t^4.77)/g1^2 + (2*g1^14*t^4.78)/g2^2 + 2*g1^6*g2^6*t^4.78 + (2*t^4.83)/(g1^13*g2^5) + t^5.02/(g1^9*g2) + (2*g2^3*t^5.2)/g1^5 + (2*g1^3*t^5.21)/g2^5 + t^5.26/(g1^16*g2^16) + (g1^7*t^5.39)/g2 + (g2^7*t^5.39)/g1 + (2*t^5.45)/(g1^12*g2^12) + (4*t^5.63)/(g1^8*g2^8) + (g2^4*t^5.81)/g1^12 + (2*t^5.82)/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.01)/g2^8 + t^6.05/(g1^27*g2^3) + g1^4*g2^4*t^6.18 + (g2^12*t^6.18)/g1^4 + (g1^12*t^6.19)/g2^4 + g2^16*t^6.36 + t^6.42/(g1^11*g2^3) + (g2^5*t^6.42)/g1^19 + (g1*t^6.61)/g2^7 + (2*g2*t^6.61)/g1^7 + t^6.66/(g1^26*g2^10) + (3*g2^5*t^6.79)/g1^3 + (2*g2^13*t^6.79)/g1^11 + (g1^5*t^6.8)/g2^3 + (2*t^6.85)/(g1^22*g2^6) - 2*g1^9*g2*t^6.98 - g1*g2^9*t^6.98 + t^7.03/(g1^18*g2^2) + 2*g1^5*g2^13*t^7.16 + (2*g2^21*t^7.16)/g1^3 + (2*g1^21*t^7.17)/g2^3 + 2*g1^13*g2^5*t^7.17 + (2*t^7.22)/(g1^6*g2^6) + (2*g2^2*t^7.22)/g1^14 + t^7.28/(g1^25*g2^17) + (g2^6*t^7.4)/g1^10 - t^7.41/(g1^2*g2^2) + (2*t^7.46)/(g1^21*g2^13) + 2*g1^2*g2^2*t^7.59 + (4*g2^10*t^7.59)/g1^6 + (4*g1^10*t^7.6)/g2^6 + (4*t^7.65)/(g1^17*g2^9) + (2*g2^14*t^7.77)/g1^2 + (g1^14*t^7.78)/g2^2 + g1^6*g2^6*t^7.78 + (2*t^7.83)/(g1^13*g2^5) + (g2^3*t^7.83)/g1^21 + t^7.89/(g1^24*g2^24) - g1^10*g2^10*t^7.96 - g1^18*g2^2*t^7.97 + (2*t^8.02)/(g1*g2^9) + t^8.07/(g1^36*g2^4) + (2*t^8.08)/(g1^20*g2^20) + (g2^11*t^8.19)/g1^13 + (2*g2^3*t^8.2)/g1^5 + (2*g1^3*t^8.21)/g2^5 + (4*t^8.26)/(g1^16*g2^16) - (5*g1^7*t^8.39)/g2 - (5*g2^7*t^8.39)/g1 - (g1^15*t^8.4)/g2^9 + (g2^4*t^8.43)/g1^28 + t^8.44/(g1^20*g2^4) + (5*t^8.45)/(g1^12*g2^12) + (2*g2^19*t^8.56)/g1^5 + g1^3*g2^11*t^8.57 + (2*g1^19*t^8.58)/g2^5 + g1^11*g2^3*t^8.58 + (2*t^8.62)/g1^16 + t^8.68/(g1^35*g2^11) + (2*g2^23*t^8.75)/g1 + (2*g2^12*t^8.8)/g1^20 + (g2^4*t^8.81)/g1^12 - (2*g1^4*t^8.82)/g2^12 - (7*t^8.82)/(g1^4*g2^4) + (2*t^8.86)/(g1^31*g2^7) - t^4.41/(g1^2*g2^2*y) - t^6.42/(g1^11*g2^3*y) - t^7.04/(g1^10*g2^10*y) - t^7.22/(g1^6*g2^6*y) + (g2^6*t^7.4)/(g1^10*y) + t^7.41/(g1^2*g2^2*y) + (g1^2*g2^2*t^7.59)/y + t^7.65/(g1^17*g2^9*y) + (2*g1^6*g2^6*t^7.78)/y + (2*t^7.83)/(g1^13*g2^5*y) + t^8.02/(g1*g2^9*y) + (2*t^8.02)/(g1^9*g2*y) + (2*g2^3*t^8.2)/(g1^5*y) + (2*g1^3*t^8.21)/(g2^5*y) + (2*g1^7*t^8.39)/(g2*y) + (g2^7*t^8.39)/(g1*y) - t^8.44/(g1^20*g2^4*y) + (2*t^8.45)/(g1^12*g2^12*y) + (2*t^8.63)/(g1^8*g2^8*y) + (g2^4*t^8.81)/(g1^12*y) + (3*t^8.82)/(g1^4*g2^4*y) + (g2^8*t^8.99)/(g1^8*y) - (t^4.41*y)/(g1^2*g2^2) - (t^6.42*y)/(g1^11*g2^3) - (t^7.04*y)/(g1^10*g2^10) - (t^7.22*y)/(g1^6*g2^6) + (g2^6*t^7.4*y)/g1^10 + (t^7.41*y)/(g1^2*g2^2) + g1^2*g2^2*t^7.59*y + (t^7.65*y)/(g1^17*g2^9) + 2*g1^6*g2^6*t^7.78*y + (2*t^7.83*y)/(g1^13*g2^5) + (t^8.02*y)/(g1*g2^9) + (2*t^8.02*y)/(g1^9*g2) + (2*g2^3*t^8.2*y)/g1^5 + (2*g1^3*t^8.21*y)/g2^5 + (2*g1^7*t^8.39*y)/g2 + (g2^7*t^8.39*y)/g1 - (t^8.44*y)/(g1^20*g2^4) + (2*t^8.45*y)/(g1^12*g2^12) + (2*t^8.63*y)/(g1^8*g2^8) + (g2^4*t^8.81*y)/g1^12 + (3*t^8.82*y)/(g1^4*g2^4) + (g2^8*t^8.99*y)/g1^8 |
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 |
---|---|---|---|---|---|---|---|---|
46332 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.6134 | 0.7861 | 0.7803 | [X:[], M:[1.0, 0.8885, 0.7082], q:[0.7639, 0.2361], qb:[0.5279, 0.5837], phi:[0.4721]] | t^2.12 + t^2.29 + t^2.46 + t^2.67 + 2*t^2.83 + t^3. + t^3.71 + t^3.88 + t^4.04 + t^4.25 + t^4.42 + 3*t^4.58 + 2*t^4.75 + t^4.79 + 2*t^4.92 + 2*t^4.96 + 3*t^5.12 + 3*t^5.29 + t^5.33 + t^5.46 + 2*t^5.5 + 4*t^5.67 + t^5.83 - t^6. - t^4.42/y - t^4.42*y | detail | |
46172 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6348 | 0.8263 | 0.7683 | [X:[], M:[1.0, 0.8719, 0.6781, 0.7258], q:[0.766, 0.234], qb:[0.5559, 0.5722], phi:[0.468]] | t^2.03 + t^2.18 + t^2.37 + t^2.42 + t^2.62 + 2*t^2.81 + t^3. + t^3.77 + t^4.01 + t^4.07 + t^4.21 + t^4.36 + t^4.4 + t^4.45 + t^4.55 + t^4.6 + t^4.65 + 2*t^4.74 + 3*t^4.79 + 4*t^4.84 + 2*t^4.99 + t^5.03 + 3*t^5.18 + 3*t^5.23 + t^5.37 + 3*t^5.42 + 4*t^5.62 + 2*t^5.81 - 3*t^6. - t^4.4/y - t^4.4*y | detail | |
46095 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.6102 | 0.7816 | 0.7806 | [X:[], M:[1.0, 0.9116, 0.6905, 1.0442], q:[0.761, 0.239], qb:[0.5484, 0.54], phi:[0.4779]] | t^2.07 + t^2.34 + t^2.36 + t^2.73 + t^2.87 + t^3. + t^3.13 + t^3.77 + t^3.8 + t^3.9 + t^4.14 + t^4.41 + t^4.43 + 2*t^4.67 + 2*t^4.7 + 2*t^4.72 + t^4.81 + t^4.94 + t^5.07 + 2*t^5.2 + t^5.23 + t^5.34 + t^5.36 + 2*t^5.47 + t^5.49 + t^5.6 + 2*t^5.73 + t^5.84 + 2*t^5.87 - 2*t^6. - t^4.43/y - t^4.43*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 |
---|---|---|---|---|---|---|---|---|---|
45924 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ | 0.5943 | 0.7486 | 0.7938 | [X:[], M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]] | 2*t^2.39 + t^2.64 + 2*t^2.82 + t^3. + 2*t^3.8 + 2*t^3.98 + 6*t^4.77 + 4*t^5.2 + t^5.27 + 2*t^5.39 + 2*t^5.45 + 4*t^5.64 + t^5.82 - 5*t^6. - t^4.41/y - t^4.41*y | detail |