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 |
---|---|---|---|---|---|---|---|---|---|
612 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3\phi_1^2$ | 0.6935 | 0.8487 | 0.8171 | [X:[], M:[0.99, 0.9882, 1.0109, 0.9673, 1.0327], q:[0.5159, 0.4941], qb:[0.4732, 0.5386], phi:[0.4946]] | [X:[], M:[[16, 8], [-12, -12], [-2, 2], [6, -6], [-6, 6]], q:[[-10, -2], [-6, -6]], qb:[[12, 0], [0, 12]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_2^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_1^2$ | $M_1M_3$, $ M_2M_3$ | 0 | t^2.9 + t^2.96 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.16 + t^4.32 + t^4.39 + 2*t^4.45 + t^4.51 + t^4.52 + 2*t^4.58 + t^4.65 + t^4.72 + t^5.87 + 3*t^5.93 + t^5.94 + t^6.07 + 2*t^6.13 + t^6.2 + t^6.26 + t^6.33 + t^7.23 + 3*t^7.29 + 2*t^7.35 + t^7.41 + 3*t^7.42 + 2*t^7.48 + 2*t^7.49 + t^7.54 + 3*t^7.55 + 2*t^7.61 + t^7.62 + 3*t^7.68 + t^7.69 + t^7.74 + t^7.75 + 2*t^7.81 + t^7.88 + t^8.65 + t^8.71 + t^8.77 + t^8.83 + t^8.84 + t^8.89 + 3*t^8.9 + t^8.91 - t^8.96 - 2*t^8.97 - t^4.48/y - (2*t^7.45)/y + t^7.51/y + t^7.52/y + (3*t^8.87)/y + (3*t^8.93)/y + t^8.94/y - t^4.48*y - 2*t^7.45*y + t^7.51*y + t^7.52*y + 3*t^8.87*y + 3*t^8.93*y + t^8.94*y | (g1^6*t^2.9)/g2^6 + t^2.96/(g1^12*g2^12) + (g1^2*t^2.97)/g2^2 + g1^16*g2^8*t^2.97 + (g2^2*t^3.03)/g1^2 + (g2^6*t^3.1)/g1^6 + (g2^10*t^3.16)/g1^10 + (g1^25*t^4.32)/g2 + (g1^7*t^4.39)/g2^7 + t^4.45/(g1^11*g2^13) + (g1^3*t^4.45)/g2^3 + t^4.51/(g1^15*g2^9) + g1^13*g2^11*t^4.52 + t^4.58/(g1^19*g2^5) + (g2^5*t^4.58)/g1^5 + (g2^9*t^4.65)/g1^9 + g1*g2^23*t^4.72 + (g1^8*t^5.87)/g2^8 + t^5.93/(g1^24*g2^24) + (2*g1^4*t^5.93)/g2^4 + g1^32*g2^16*t^5.94 - 2*t^6. + t^6./(g1^14*g2^10) + g1^14*g2^10*t^6. + (g2^4*t^6.07)/g1^4 + (2*g2^8*t^6.13)/g1^8 + (g2^12*t^6.2)/g1^12 + (g2^16*t^6.26)/g1^16 + (g2^20*t^6.33)/g1^20 + (g1^31*t^7.23)/g2^7 + (g1^13*t^7.29)/g2^13 + (g1^27*t^7.29)/g2^3 + g1^41*g2^7*t^7.29 + t^7.35/(g1^5*g2^19) + (g1^9*t^7.35)/g2^9 + t^7.41/(g1^23*g2^25) + t^7.42/(g1^9*g2^15) + (g1^5*t^7.42)/g2^5 + g1^19*g2^5*t^7.42 + t^7.48/(g1^27*g2^21) + t^7.48/(g1^13*g2^11) + g1^15*g2^9*t^7.49 + g1^29*g2^19*t^7.49 + t^7.54/(g1^31*g2^17) + (2*t^7.55)/(g1^17*g2^7) + (g2^3*t^7.55)/g1^3 + t^7.61/(g1^21*g2^3) + (g2^7*t^7.61)/g1^7 + g1^7*g2^17*t^7.62 + (g2*t^7.68)/g1^25 + (g2^11*t^7.68)/g1^11 + g1^3*g2^21*t^7.68 + g1^17*g2^31*t^7.69 + (g2^5*t^7.74)/g1^29 + (g2^15*t^7.75)/g1^15 + (g2^19*t^7.81)/g1^19 + (g2^29*t^7.81)/g1^5 + (g2^33*t^7.88)/g1^9 + (g1^50*t^8.65)/g2^2 + (g1^32*t^8.71)/g2^8 + (g1^14*t^8.77)/g2^14 + t^8.83/(g1^4*g2^20) - g1^24*t^8.84 + (g1^10*t^8.84)/g2^10 + g1^38*g2^10*t^8.84 + t^8.89/(g1^36*g2^36) + t^8.9/(g1^22*g2^26) + t^8.9/(g1^8*g2^16) - (g1^6*t^8.9)/g2^6 + 2*g1^20*g2^4*t^8.9 + g1^48*g2^24*t^8.91 + (2*t^8.96)/(g1^26*g2^22) - (3*t^8.96)/(g1^12*g2^12) - (g1^2*t^8.97)/g2^2 - 2*g1^16*g2^8*t^8.97 + g1^30*g2^18*t^8.97 - (g1*t^4.48)/(g2*y) - t^7.45/(g1^11*g2^13*y) - (g1^17*g2^7*t^7.45)/y + t^7.51/(g1^15*g2^9*y) + (g1^13*g2^11*t^7.52)/y + t^8.87/(g1^6*g2^18*y) + (g1^8*t^8.87)/(g2^8*y) + (g1^22*g2^2*t^8.87)/y + t^8.93/(g1^10*g2^14*y) + (2*g1^4*t^8.93)/(g2^4*y) + (g1^18*g2^6*t^8.94)/y - (g1*t^4.48*y)/g2 - (t^7.45*y)/(g1^11*g2^13) - g1^17*g2^7*t^7.45*y + (t^7.51*y)/(g1^15*g2^9) + g1^13*g2^11*t^7.52*y + (t^8.87*y)/(g1^6*g2^18) + (g1^8*t^8.87*y)/g2^8 + g1^22*g2^2*t^8.87*y + (t^8.93*y)/(g1^10*g2^14) + (2*g1^4*t^8.93*y)/g2^4 + g1^18*g2^6*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
998 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3\phi_1^2$ + $ M_1M_6$ | 0.6952 | 0.8535 | 0.8145 | [X:[], M:[1.0461, 0.9368, 1.0086, 0.9743, 1.0257, 0.9539], q:[0.4855, 0.4684], qb:[0.5059, 0.5572], phi:[0.4957]] | t^2.81 + t^2.86 + t^2.92 + t^2.97 + t^3.03 + t^3.08 + t^3.13 + t^4.3 + t^4.35 + t^4.4 + t^4.41 + t^4.46 + t^4.52 + t^4.56 + t^4.62 + t^4.68 + t^4.83 + t^5.62 + t^5.67 + t^5.72 + t^5.78 + 2*t^5.84 + t^5.89 + t^5.9 + t^5.94 + t^5.95 + t^5.99 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
997 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3\phi_1^2$ + $ M_2M_6$ | 0.6951 | 0.8535 | 0.8144 | [X:[], M:[0.9385, 1.0457, 1.0079, 0.9764, 1.0236, 0.9543], q:[0.5386, 0.5229], qb:[0.4535, 0.5008], phi:[0.4961]] | t^2.82 + t^2.86 + t^2.93 + t^2.98 + t^3.02 + t^3.07 + t^3.12 + t^4.21 + t^4.35 + t^4.42 + t^4.46 + t^4.49 + t^4.56 + t^4.61 + t^4.63 + t^4.67 + t^4.72 + t^5.63 + t^5.68 + t^5.73 + t^5.79 + 2*t^5.84 + t^5.89 + t^5.91 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
1000 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3\phi_1^2$ + $ M_3M_6$ | 0.6946 | 0.8505 | 0.8168 | [X:[], M:[0.9879, 0.985, 1.0136, 0.9592, 1.0408, 0.9864], q:[0.5197, 0.4925], qb:[0.4668, 0.5483], phi:[0.4932]] | t^2.88 + t^2.95 + 3*t^2.96 + t^3.12 + t^3.2 + t^4.28 + t^4.36 + t^4.43 + t^4.44 + 2*t^4.52 + 2*t^4.6 + t^4.68 + t^4.77 + 2*t^5.84 + 2*t^5.91 + 4*t^5.92 + t^5.93 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
996 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3\phi_1^2$ + $ M_5M_6$ | 0.6977 | 0.8557 | 0.8153 | [X:[], M:[0.984, 0.9784, 1.0188, 0.9435, 1.0565, 0.9435], q:[0.5269, 0.4892], qb:[0.4543, 0.5673], phi:[0.4906]] | 2*t^2.83 + 2*t^2.94 + t^2.95 + t^3.06 + t^3.28 + t^4.2 + t^4.3 + t^4.41 + t^4.42 + t^4.52 + t^4.54 + t^4.63 + t^4.64 + t^4.75 + t^4.88 + 2*t^5.66 + 3*t^5.77 + t^5.78 + t^5.87 + 3*t^5.89 + t^5.9 + t^5.99 - 3*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
371 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |