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 |
---|---|---|---|---|---|---|---|---|---|
45939 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ | 0.6485 | 0.7963 | 0.8144 | [X:[], M:[0.7078, 0.6913, 0.7007, 1.2958], q:[0.4766, 0.8157], qb:[0.8322, 0.4671], phi:[0.3521]] | [X:[], M:[[-4, -3, 1], [-3, -4, 1], [0, -1, -1], [2, 2, 0]], q:[[3, 3, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[-1, -1, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_1M_2$, $ M_1M_3$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_3q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_3q_2\tilde{q}_2$, $ M_2M_4$, $ M_3\phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_3\phi_1q_1\tilde{q}_2$ | . | -3 | t^2.07 + t^2.1 + t^2.12 + t^2.83 + t^3.85 + t^3.86 + 2*t^3.89 + t^3.92 + t^4.15 + t^4.18 + 2*t^4.2 + t^4.23 + t^4.25 + t^4.9 + t^4.93 + t^4.94 + t^4.95 + t^5.66 + t^5.92 + t^5.93 + t^5.95 + 2*t^5.96 + t^5.98 + 2*t^5.99 - 3*t^6. + t^6.01 + t^6.02 - t^6.03 + t^6.22 + t^6.25 + t^6.27 + t^6.28 + t^6.3 + t^6.31 + t^6.32 + t^6.33 + t^6.35 + t^6.37 + t^6.68 + t^6.69 + 2*t^6.72 + t^6.75 + t^6.98 + t^7.01 + t^7.04 - t^7.06 - t^7.1 + t^7.7 + t^7.71 + t^7.72 + 2*t^7.74 + t^7.75 + t^7.76 + 2*t^7.77 + t^7.8 - t^7.81 + t^7.83 + t^8. + t^8.01 + t^8.02 + 2*t^8.03 + t^8.05 + 3*t^8.06 - 3*t^8.07 + t^8.08 + 2*t^8.09 - 4*t^8.1 + 2*t^8.11 - 2*t^8.12 - t^8.15 + t^8.3 + t^8.32 + t^8.34 + t^8.35 + t^8.37 + t^8.38 + t^8.39 + t^8.4 + t^8.41 + t^8.42 + t^8.43 + t^8.44 + t^8.45 + t^8.47 + 2*t^8.49 + t^8.75 + t^8.76 + t^8.78 + 2*t^8.79 + t^8.81 + t^8.82 - 3*t^8.83 + t^8.85 - t^8.86 - t^8.87 - t^4.06/y - t^6.13/y - t^6.16/y - t^6.18/y + t^7.18/y + t^7.2/y + t^7.23/y + t^7.9/y + (2*t^7.93)/y + (2*t^7.95)/y + t^7.98/y - t^8.2/y - t^8.23/y - t^8.25/y - t^8.26/y - t^8.28/y - t^8.3/y + t^8.92/y + t^8.93/y + t^8.95/y + (3*t^8.96)/y + t^8.97/y + t^8.98/y + (3*t^8.99)/y - t^4.06*y - t^6.13*y - t^6.16*y - t^6.18*y + t^7.18*y + t^7.2*y + t^7.23*y + t^7.9*y + 2*t^7.93*y + 2*t^7.95*y + t^7.98*y - t^8.2*y - t^8.23*y - t^8.25*y - t^8.26*y - t^8.28*y - t^8.3*y + t^8.92*y + t^8.93*y + t^8.95*y + 3*t^8.96*y + t^8.97*y + t^8.98*y + 3*t^8.99*y | (g3*t^2.07)/(g1^3*g2^4) + t^2.1/(g2*g3) + (g3*t^2.12)/(g1^4*g2^3) + g1^3*g2^3*t^2.83 + g1*g3*t^3.85 + (g3^2*t^3.86)/(g1*g2) + 2*g1^2*g2^2*t^3.89 + (g1^5*g2^5*t^3.92)/g3^2 + (g3^2*t^4.15)/(g1^6*g2^8) + t^4.18/(g1^3*g2^5) + t^4.2/(g2^2*g3^2) + (g3^2*t^4.2)/(g1^7*g2^7) + t^4.23/(g1^4*g2^4) + (g3^2*t^4.25)/(g1^8*g2^6) + (g3*t^4.9)/g2 + (g1^3*g2^2*t^4.93)/g3 + g1*g2*t^4.94 + (g3*t^4.95)/g1 + g1^6*g2^6*t^5.66 + (g3^2*t^5.92)/(g1^2*g2^4) + (g3^3*t^5.93)/(g1^4*g2^5) + (g1*t^5.95)/g2 + (2*g3*t^5.96)/(g1*g2^2) + (g3^3*t^5.98)/(g1^5*g2^4) + (2*g1^2*g2*t^5.99)/g3 - 3*t^6. + (g3*t^6.01)/(g1^2*g2) + (g1^5*g2^4*t^6.02)/g3^3 - (g1^3*g2^3*t^6.03)/g3^2 + (g3^3*t^6.22)/(g1^9*g2^12) + (g3*t^6.25)/(g1^6*g2^9) + (g3^3*t^6.27)/(g1^10*g2^11) + t^6.28/(g1^3*g2^6*g3) + (g3*t^6.3)/(g1^7*g2^8) + t^6.31/(g2^3*g3^3) + (g3^3*t^6.32)/(g1^11*g2^10) + t^6.33/(g1^4*g2^5*g3) + (g3*t^6.35)/(g1^8*g2^7) + (g3^3*t^6.37)/(g1^12*g2^9) + g1^4*g2^3*g3*t^6.68 + g1^2*g2^2*g3^2*t^6.69 + 2*g1^5*g2^5*t^6.72 + (g1^8*g2^8*t^6.75)/g3^2 + (g3^2*t^6.98)/(g1^3*g2^5) + t^7.01/g2^2 + (g1^3*g2*t^7.04)/g3^2 - t^7.06/(g1*g2) - (g1^2*g2^2*t^7.08)/g3^2 + (g3^2*t^7.08)/(g1^5*g2^3) - (g2*t^7.1)/g3 + g1^2*g3^2*t^7.7 + (g3^3*t^7.71)/g2 + (g3^4*t^7.72)/(g1^2*g2^2) + 2*g1^3*g2^2*g3*t^7.74 + g1*g2*g3^2*t^7.75 + (g1^6*g2^5*t^7.76)/g3 + 2*g1^4*g2^4*t^7.77 + (g1^7*g2^7*t^7.8)/g3^2 - (g1^5*g2^6*t^7.81)/g3 + (g1^10*g2^10*t^7.83)/g3^4 + (g3^3*t^8.)/(g1^5*g2^8) + (g3^4*t^8.01)/(g1^7*g2^9) + (g3*t^8.02)/(g1^2*g2^5) + (2*g3^2*t^8.03)/(g1^4*g2^6) + (g1*t^8.05)/(g2^2*g3) + (2*t^8.06)/(g1*g2^3) + (g3^4*t^8.06)/(g1^8*g2^8) - (3*g3*t^8.07)/(g1^3*g2^4) + (g3^2*t^8.08)/(g1^5*g2^5) + (2*g1^2*t^8.09)/g3^2 - (4*t^8.1)/(g2*g3) + t^8.11/(g1^2*g2^2) + (g3^4*t^8.11)/(g1^9*g2^7) + (g1^5*g2^3*t^8.12)/g3^4 - (3*g3*t^8.12)/(g1^4*g2^3) - (g1^3*g2^2*t^8.13)/g3^3 + (g3^2*t^8.13)/(g1^6*g2^4) - t^8.15/(g1*g3) + (g3^4*t^8.3)/(g1^12*g2^16) + (g3^2*t^8.32)/(g1^9*g2^13) + (g3^4*t^8.34)/(g1^13*g2^15) + t^8.35/(g1^6*g2^10) + (g3^2*t^8.37)/(g1^10*g2^12) + t^8.38/(g1^3*g2^7*g3^2) + (g3^4*t^8.39)/(g1^14*g2^14) + t^8.4/(g1^7*g2^9) + t^8.41/(g2^4*g3^4) + (g3^2*t^8.42)/(g1^11*g2^11) + t^8.43/(g1^4*g2^6*g3^2) + (g3^4*t^8.44)/(g1^15*g2^13) + t^8.45/(g1^8*g2^8) + (g3^2*t^8.47)/(g1^12*g2^10) + g1^9*g2^9*t^8.49 + (g3^4*t^8.49)/(g1^16*g2^12) + (g1*g3^2*t^8.75)/g2 + (g3^3*t^8.76)/(g1*g2^2) + g1^4*g2^2*t^8.78 + 2*g1^2*g2*g3*t^8.79 + (g3^3*t^8.81)/(g1^2*g2) + (g1^5*g2^4*t^8.82)/g3 - 3*g1^3*g2^3*t^8.83 + (g1^8*g2^7*t^8.85)/g3^3 - (g1^6*g2^6*t^8.86)/g3^2 - (g1^4*g2^5*t^8.87)/g3 - t^4.06/(g1*g2*y) - (g3*t^6.13)/(g1^4*g2^5*y) - t^6.16/(g1*g2^2*g3*y) - (g3*t^6.18)/(g1^5*g2^4*y) + t^7.18/(g1^3*g2^5*y) + (g3^2*t^7.2)/(g1^7*g2^7*y) + t^7.23/(g1^4*g2^4*y) + (g3*t^7.9)/(g2*y) + (2*g1^3*g2^2*t^7.93)/(g3*y) + (2*g3*t^7.95)/(g1*y) + (g1^2*g2^3*t^7.98)/(g3*y) - (g3^2*t^8.2)/(g1^7*g2^9*y) - t^8.23/(g1^4*g2^6*y) - (g3^2*t^8.25)/(g1^8*g2^8*y) - t^8.26/(g1*g2^3*g3^2*y) - t^8.28/(g1^5*g2^5*y) - (g3^2*t^8.3)/(g1^9*g2^7*y) + (g3^2*t^8.92)/(g1^2*g2^4*y) + (g3^3*t^8.93)/(g1^4*g2^5*y) + (g1*t^8.95)/(g2*y) + (3*g3*t^8.96)/(g1*g2^2*y) + (g3^2*t^8.97)/(g1^3*g2^3*y) + (g3^3*t^8.98)/(g1^5*g2^4*y) + (3*g1^2*g2*t^8.99)/(g3*y) - (t^4.06*y)/(g1*g2) - (g3*t^6.13*y)/(g1^4*g2^5) - (t^6.16*y)/(g1*g2^2*g3) - (g3*t^6.18*y)/(g1^5*g2^4) + (t^7.18*y)/(g1^3*g2^5) + (g3^2*t^7.2*y)/(g1^7*g2^7) + (t^7.23*y)/(g1^4*g2^4) + (g3*t^7.9*y)/g2 + (2*g1^3*g2^2*t^7.93*y)/g3 + (2*g3*t^7.95*y)/g1 + (g1^2*g2^3*t^7.98*y)/g3 - (g3^2*t^8.2*y)/(g1^7*g2^9) - (t^8.23*y)/(g1^4*g2^6) - (g3^2*t^8.25*y)/(g1^8*g2^8) - (t^8.26*y)/(g1*g2^3*g3^2) - (t^8.28*y)/(g1^5*g2^5) - (g3^2*t^8.3*y)/(g1^9*g2^7) + (g3^2*t^8.92*y)/(g1^2*g2^4) + (g3^3*t^8.93*y)/(g1^4*g2^5) + (g1*t^8.95*y)/g2 + (3*g3*t^8.96*y)/(g1*g2^2) + (g3^2*t^8.97*y)/(g1^3*g2^3) + (g3^3*t^8.98*y)/(g1^5*g2^4) + (3*g1^2*g2*t^8.99*y)/g3 |
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 |
---|---|---|---|---|---|---|---|---|
46209 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_2^2$ | 0.5924 | 0.7275 | 0.8144 | [X:[], M:[0.7021, 1.0, 0.845, 1.2265], q:[0.3423, 0.9556], qb:[0.6577, 0.4974], phi:[0.3868]] | t^2.11 + t^2.52 + t^2.53 + t^3. + t^3.21 + 2*t^3.68 + t^4.14 + t^4.21 + t^4.36 + t^4.63 + t^4.64 + t^4.84 + t^5.04 + t^5.05 + t^5.07 + t^5.11 + t^5.52 + t^5.73 + t^5.75 + t^5.79 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
46202 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_3q_2\tilde{q}_2$ | 0.6484 | 0.7956 | 0.815 | [X:[], M:[0.6992, 0.6992, 0.7069, 1.297], q:[0.4765, 0.8242], qb:[0.8242, 0.4689], phi:[0.3515]] | 2*t^2.1 + t^2.12 + t^2.84 + t^3.87 + t^3.88 + 2*t^3.89 + t^3.91 + 3*t^4.2 + 2*t^4.22 + t^4.24 + 2*t^4.93 + t^4.95 + t^4.96 + t^5.67 + 2*t^5.97 + t^5.98 + 3*t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail | |
46234 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6689 | 0.8351 | 0.801 | [X:[], M:[0.7072, 0.6951, 0.6911, 1.3008, 0.6951], q:[0.4736, 0.8192], qb:[0.8313, 0.4776], phi:[0.3496]] | t^2.07 + 2*t^2.09 + t^2.12 + t^2.85 + 2*t^3.89 + 2*t^3.9 + t^4.15 + 2*t^4.16 + 3*t^4.17 + t^4.2 + 2*t^4.21 + t^4.24 + t^4.93 + 2*t^4.94 + t^4.95 + t^4.98 + t^5.71 + 2*t^5.96 + 5*t^5.98 + 2*t^5.99 - 3*t^6. - t^4.05/y - t^4.05*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 |
---|---|---|---|---|---|---|---|---|---|
45872 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.7026, 0.6881, 0.6965], q:[0.4795, 0.8179], qb:[0.8324, 0.4712], phi:[0.3498]] | t^2.06 + t^2.09 + t^2.1 + t^2.11 + t^2.85 + t^3.87 + t^3.88 + t^3.9 + t^3.93 + t^4.13 + t^4.15 + t^4.16 + t^4.17 + t^4.18 + t^4.19 + 2*t^4.2 + t^4.21 + t^4.22 + t^4.92 + t^4.94 + 2*t^4.95 + t^4.96 + t^5.7 + t^5.93 + t^5.94 + t^5.96 + 3*t^5.97 + t^5.98 + t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail |