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 |
---|---|---|---|---|---|---|---|---|---|
46234 | 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$ + $ 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]] | [X:[], M:[[-4, -3, 1], [-3, -4, 1], [0, -1, -1], [2, 2, 0], [1, 1, -2]], 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 |
---|---|---|---|---|
$M_3$, $ M_5$, $ M_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ q_2\tilde{q}_2$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_2M_3$, $ M_3M_5$, $ M_5^2$, $ M_2M_5$, $ M_2^2$, $ M_1M_3$, $ M_1M_5$, $ M_1M_2$, $ M_1^2$, $ \phi_1q_1q_2$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_3q_2\tilde{q}_2$, $ M_3\phi_1q_1^2$, $ M_5\phi_1q_1^2$, $ M_3M_4$, $ M_3\phi_1q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_4M_5$, $ M_5\phi_1q_1\tilde{q}_2$, $ M_2M_4$ | . | -3 | 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^6.02 + t^6.22 + 2*t^6.23 + 3*t^6.24 + 4*t^6.26 + t^6.27 + 2*t^6.28 + 3*t^6.29 + t^6.32 + 2*t^6.33 + t^6.37 + 2*t^6.74 + 2*t^6.76 + t^7. + 2*t^7.01 + 3*t^7.02 - t^7.05 + t^7.1 + 3*t^7.78 + 4*t^7.79 + t^7.8 - 2*t^7.82 + 2*t^8.04 + 5*t^8.05 + 6*t^8.06 - t^8.07 - 6*t^8.09 + t^8.1 - 3*t^8.12 + t^8.15 + t^8.29 + 2*t^8.31 + 3*t^8.32 + 4*t^8.33 + 6*t^8.34 + 2*t^8.35 + 3*t^8.37 + 4*t^8.38 + t^8.39 + 2*t^8.4 + 3*t^8.41 + t^8.44 + 2*t^8.45 + t^8.49 + t^8.56 + 2*t^8.82 + 4*t^8.83 + 2*t^8.84 - 3*t^8.85 - 2*t^8.87 - t^4.05/y - t^6.12/y - (2*t^6.13)/y - t^6.17/y + (2*t^7.16)/y + t^7.17/y + t^7.2/y + (2*t^7.21)/y + (2*t^7.93)/y + (2*t^7.94)/y + (2*t^7.96)/y + (2*t^7.98)/y - t^8.2/y - (2*t^8.21)/y - (3*t^8.22)/y - t^8.24/y - (2*t^8.26)/y - t^8.29/y + (2*t^8.96)/y + (6*t^8.98)/y + (4*t^8.99)/y - t^4.05*y - t^6.12*y - 2*t^6.13*y - t^6.17*y + 2*t^7.16*y + t^7.17*y + t^7.2*y + 2*t^7.21*y + 2*t^7.93*y + 2*t^7.94*y + 2*t^7.96*y + 2*t^7.98*y - t^8.2*y - 2*t^8.21*y - 3*t^8.22*y - t^8.24*y - 2*t^8.26*y - t^8.29*y + 2*t^8.96*y + 6*t^8.98*y + 4*t^8.99*y | t^2.07/(g2*g3) + (g1*g2*t^2.09)/g3^2 + (g3*t^2.09)/(g1^3*g2^4) + (g3*t^2.12)/(g1^4*g2^3) + g1^3*g2^3*t^2.85 + (g1^5*g2^5*t^3.89)/g3^2 + g1*g3*t^3.89 + 2*g1^2*g2^2*t^3.9 + t^4.15/(g2^2*g3^2) + t^4.16/(g1^3*g2^5) + (g1*t^4.16)/g3^3 + (g1^2*g2^2*t^4.17)/g3^4 + t^4.17/(g1^2*g2^3*g3) + (g3^2*t^4.17)/(g1^6*g2^8) + t^4.2/(g1^4*g2^4) + t^4.21/(g1^3*g2^2*g3) + (g3^2*t^4.21)/(g1^7*g2^7) + (g3^2*t^4.24)/(g1^8*g2^6) + (g1^3*g2^2*t^4.93)/g3 + (g1^4*g2^4*t^4.94)/g3^2 + (g3*t^4.94)/g2 + g1*g2*t^4.95 + (g3*t^4.98)/g1 + g1^6*g2^6*t^5.71 + (g1*t^5.96)/g2 + (g1^5*g2^4*t^5.96)/g3^3 + (g1^6*g2^6*t^5.98)/g3^4 + (3*g1^2*g2*t^5.98)/g3 + (g3^2*t^5.98)/(g1^2*g2^4) + (g1^3*g2^3*t^5.99)/g3^2 + (g3*t^5.99)/(g1*g2^2) - 3*t^6. + (g3*t^6.02)/(g1^2*g2) + t^6.22/(g2^3*g3^3) + (g1*t^6.23)/(g2*g3^4) + t^6.23/(g1^3*g2^6*g3) + (g1^2*g2*t^6.24)/g3^5 + t^6.24/(g1^2*g2^4*g3^2) + (g3*t^6.24)/(g1^6*g2^9) + t^6.26/(g1^5*g2^7) + (g1^3*g2^3*t^6.26)/g3^6 + t^6.26/(g1*g2^2*g3^3) + (g3^3*t^6.26)/(g1^9*g2^12) + t^6.27/(g1^4*g2^5*g3) + t^6.28/(g1^3*g2^3*g3^2) + (g3*t^6.28)/(g1^7*g2^8) + t^6.29/(g1^6*g2^6) + t^6.29/(g1^2*g2*g3^3) + (g3^3*t^6.29)/(g1^10*g2^11) + (g3*t^6.32)/(g1^8*g2^7) + t^6.33/(g1^7*g2^5) + (g3^3*t^6.33)/(g1^11*g2^10) + (g3^3*t^6.37)/(g1^12*g2^9) + (g1^8*g2^8*t^6.74)/g3^2 + g1^4*g2^3*g3*t^6.74 + 2*g1^5*g2^5*t^6.76 + (g1^3*g2*t^7.)/g3^2 + t^7.01/g2^2 + (g1^4*g2^3*t^7.01)/g3^3 + (g1^5*g2^5*t^7.02)/g3^4 + (g1*t^7.02)/g3 + (g3^2*t^7.02)/(g1^3*g2^5) - t^7.05/(g1*g2) + (g3^2*t^7.1)/(g1^5*g2^3) + (g1^10*g2^10*t^7.78)/g3^4 + (g1^6*g2^5*t^7.78)/g3 + g1^2*g3^2*t^7.78 + (2*g1^7*g2^7*t^7.79)/g3^2 + 2*g1^3*g2^2*g3*t^7.79 + g1^4*g2^4*t^7.8 - (g1^5*g2^6*t^7.82)/g3 - g1*g2*g3^2*t^7.82 + (g1^5*g2^3*t^8.04)/g3^4 + (g1*t^8.04)/(g2^2*g3) + (g1^6*g2^5*t^8.05)/g3^5 + (3*g1^2*t^8.05)/g3^2 + (g3*t^8.05)/(g1^2*g2^5) + (2*t^8.06)/(g1*g2^3) + (g1^7*g2^7*t^8.06)/g3^6 + (2*g1^3*g2^2*t^8.06)/g3^3 + (g3^3*t^8.06)/(g1^5*g2^8) + (g1^4*g2^4*t^8.07)/g3^4 - (3*t^8.07)/(g2*g3) + (g3^2*t^8.07)/(g1^4*g2^6) - (3*g1*g2*t^8.09)/g3^2 - (3*g3*t^8.09)/(g1^3*g2^4) + t^8.1/(g1^2*g2^2) - (3*g3*t^8.12)/(g1^4*g2^3) + (g3^2*t^8.15)/(g1^6*g2^4) + t^8.29/(g2^4*g3^4) + (g1*t^8.31)/(g2^2*g3^5) + t^8.31/(g1^3*g2^7*g3^2) + t^8.32/(g1^6*g2^10) + (g1^2*t^8.32)/g3^6 + t^8.32/(g1^2*g2^5*g3^3) + (g1^3*g2^2*t^8.33)/g3^7 + t^8.33/(g1*g2^3*g3^4) + t^8.33/(g1^5*g2^8*g3) + (g3^2*t^8.33)/(g1^9*g2^13) + (g1^4*g2^4*t^8.34)/g3^8 + t^8.34/(g2*g3^5) + (2*t^8.34)/(g1^4*g2^6*g3^2) + (g3*t^8.34)/(g1^8*g2^11) + (g3^4*t^8.34)/(g1^12*g2^16) + t^8.35/(g1^7*g2^9) + t^8.35/(g1^3*g2^4*g3^3) + t^8.37/(g1^2*g2^2*g3^4) + t^8.37/(g1^6*g2^7*g3) + (g3^2*t^8.37)/(g1^10*g2^12) + t^8.38/(g1*g3^5) + t^8.38/(g1^5*g2^5*g3^2) + (g3*t^8.38)/(g1^9*g2^10) + (g3^4*t^8.38)/(g1^13*g2^15) + t^8.39/(g1^8*g2^8) + t^8.4/(g1^7*g2^6*g3) + (g3^2*t^8.4)/(g1^11*g2^11) + t^8.41/(g1^6*g2^4*g3^2) + (g3*t^8.41)/(g1^10*g2^9) + (g3^4*t^8.41)/(g1^14*g2^14) + (g3^2*t^8.44)/(g1^12*g2^10) + (g3*t^8.45)/(g1^11*g2^8) + (g3^4*t^8.45)/(g1^15*g2^13) + (g3^4*t^8.49)/(g1^16*g2^12) + g1^9*g2^9*t^8.56 + g1^4*g2^2*t^8.82 + (g1^8*g2^7*t^8.82)/g3^3 + (g1^9*g2^9*t^8.83)/g3^4 + (2*g1^5*g2^4*t^8.83)/g3 + (g1*g3^2*t^8.83)/g2 + (g1^6*g2^6*t^8.84)/g3^2 + g1^2*g2*g3*t^8.84 - 3*g1^3*g2^3*t^8.85 - (g1^4*g2^5*t^8.87)/g3 - g3^2*t^8.87 - t^4.05/(g1*g2*y) - t^6.12/(g1*g2^2*g3*y) - t^6.13/(g3^2*y) - (g3*t^6.13)/(g1^4*g2^5*y) - (g3*t^6.17)/(g1^5*g2^4*y) + t^7.16/(g1^3*g2^5*y) + (g1*t^7.16)/(g3^3*y) + t^7.17/(g1^2*g2^3*g3*y) + t^7.2/(g1^4*g2^4*y) + t^7.21/(g1^3*g2^2*g3*y) + (g3^2*t^7.21)/(g1^7*g2^7*y) + (2*g1^3*g2^2*t^7.93)/(g3*y) + (g1^4*g2^4*t^7.94)/(g3^2*y) + (g3*t^7.94)/(g2*y) + (g1^2*g2^3*t^7.96)/(g3*y) + (g3^2*t^7.96)/(g1^2*g2^2*y) + (2*g3*t^7.98)/(g1*y) - t^8.2/(g1*g2^3*g3^2*y) - t^8.21/(g1^4*g2^6*y) - t^8.21/(g2*g3^3*y) - (g1*g2*t^8.22)/(g3^4*y) - t^8.22/(g1^3*g2^4*g3*y) - (g3^2*t^8.22)/(g1^7*g2^9*y) - t^8.24/(g1^5*g2^5*y) - t^8.26/(g1^4*g2^3*g3*y) - (g3^2*t^8.26)/(g1^8*g2^8*y) - (g3^2*t^8.29)/(g1^9*g2^7*y) + (g1*t^8.96)/(g2*y) + (g1^5*g2^4*t^8.96)/(g3^3*y) + (g1^6*g2^6*t^8.98)/(g3^4*y) + (4*g1^2*g2*t^8.98)/(g3*y) + (g3^2*t^8.98)/(g1^2*g2^4*y) + (2*g1^3*g2^3*t^8.99)/(g3^2*y) + (2*g3*t^8.99)/(g1*g2^2*y) - (t^4.05*y)/(g1*g2) - (t^6.12*y)/(g1*g2^2*g3) - (t^6.13*y)/g3^2 - (g3*t^6.13*y)/(g1^4*g2^5) - (g3*t^6.17*y)/(g1^5*g2^4) + (t^7.16*y)/(g1^3*g2^5) + (g1*t^7.16*y)/g3^3 + (t^7.17*y)/(g1^2*g2^3*g3) + (t^7.2*y)/(g1^4*g2^4) + (t^7.21*y)/(g1^3*g2^2*g3) + (g3^2*t^7.21*y)/(g1^7*g2^7) + (2*g1^3*g2^2*t^7.93*y)/g3 + (g1^4*g2^4*t^7.94*y)/g3^2 + (g3*t^7.94*y)/g2 + (g1^2*g2^3*t^7.96*y)/g3 + (g3^2*t^7.96*y)/(g1^2*g2^2) + (2*g3*t^7.98*y)/g1 - (t^8.2*y)/(g1*g2^3*g3^2) - (t^8.21*y)/(g1^4*g2^6) - (t^8.21*y)/(g2*g3^3) - (g1*g2*t^8.22*y)/g3^4 - (t^8.22*y)/(g1^3*g2^4*g3) - (g3^2*t^8.22*y)/(g1^7*g2^9) - (t^8.24*y)/(g1^5*g2^5) - (t^8.26*y)/(g1^4*g2^3*g3) - (g3^2*t^8.26*y)/(g1^8*g2^8) - (g3^2*t^8.29*y)/(g1^9*g2^7) + (g1*t^8.96*y)/g2 + (g1^5*g2^4*t^8.96*y)/g3^3 + (g1^6*g2^6*t^8.98*y)/g3^4 + (4*g1^2*g2*t^8.98*y)/g3 + (g3^2*t^8.98*y)/(g1^2*g2^4) + (2*g1^3*g2^3*t^8.99*y)/g3^2 + (2*g3*t^8.99*y)/(g1*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
46723 | $M_1q_1q_2$ + $ 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$ + $ M_1^2$ + $ M_3X_1$ | 0.6018 | 0.7514 | 0.8009 | [X:[1.4255], M:[1.0, 0.6809, 0.5745, 1.2127, 0.6809], q:[0.3564, 0.6436], qb:[0.9627, 0.4627], phi:[0.3936]] | 2*t^2.04 + t^2.46 + t^3. + 2*t^3.32 + 2*t^3.64 + 3*t^4.09 + t^4.28 + 2*t^4.5 + t^4.82 + t^4.91 + 2*t^5.04 + 3*t^5.36 + t^5.46 + 2*t^5.68 + 2*t^5.78 - 2*t^6. - t^4.18/y - t^4.18*y | detail | |
46480 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2^2$ | 0.6689 | 0.8347 | 0.8013 | [X:[], M:[0.7009, 0.7009, 0.6961, 1.3015, 0.6937], q:[0.4737, 0.8254], qb:[0.8254, 0.4785], phi:[0.3493]] | t^2.08 + t^2.09 + 2*t^2.1 + t^2.86 + t^3.89 + 2*t^3.9 + t^3.91 + t^4.16 + t^4.17 + 3*t^4.18 + 2*t^4.19 + 3*t^4.21 + t^4.94 + 2*t^4.95 + 2*t^4.96 + t^5.71 + t^5.97 + t^5.98 + 4*t^5.99 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.06/y - t^4.06*y | detail |