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 |
---|---|---|---|---|---|---|---|---|---|
46804 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ | 0.7055 | 0.8657 | 0.8149 | [X:[], M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]] | [X:[], M:[[-4, 8], [2, 2], [0, -12], [-6, -6], [2, 2], [-2, -2]], q:[[-2, -8], [6, 0]], qb:[[0, 6], [0, 6]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_3^2$, $ M_1M_2$ | $M_2\phi_1^2$, $ M_4q_2\tilde{q}_1$ | -3 | t^2.62 + t^2.85 + 2*t^2.87 + t^2.89 + t^3.13 + t^3.38 + t^4.08 + 2*t^4.31 + 3*t^4.54 + t^4.58 + 2*t^4.82 + t^5.09 + t^5.24 + t^5.47 + t^5.49 + t^5.51 + t^5.71 + 5*t^5.75 + t^5.79 + t^5.98 - 3*t^6. + t^6.02 - t^6.23 + 2*t^6.25 - t^6.27 + t^6.7 + t^6.76 + 2*t^6.93 + 2*t^6.95 + t^6.97 + 3*t^7.16 + 3*t^7.18 + t^7.2 + 3*t^7.4 + 4*t^7.42 + t^7.44 + t^7.46 + t^7.48 + t^7.69 + t^7.71 + t^7.86 + t^7.92 + t^7.96 + t^7.98 + t^8.09 + t^8.11 + t^8.14 + t^8.16 + t^8.2 + t^8.33 + 3*t^8.37 + t^8.39 + t^8.41 + t^8.47 + t^8.56 + 2*t^8.6 + 3*t^8.62 + t^8.64 + t^8.66 + t^8.68 + t^8.83 - 2*t^8.85 - 5*t^8.87 - 2*t^8.89 + t^8.91 - t^4.44/y - t^7.06/y - t^7.29/y - t^7.33/y + t^7.54/y + t^7.58/y + t^7.82/y + t^8.47/y + (2*t^8.49)/y + t^8.51/y + (2*t^8.73)/y + (3*t^8.75)/y + (2*t^8.77)/y + t^8.98/y - t^4.44*y - t^7.06*y - t^7.29*y - t^7.33*y + t^7.54*y + t^7.58*y + t^7.82*y + t^8.47*y + 2*t^8.49*y + t^8.51*y + 2*t^8.73*y + 3*t^8.75*y + 2*t^8.77*y + t^8.98*y | t^2.62/(g1^6*g2^6) + (g2^8*t^2.85)/g1^4 + (2*t^2.87)/(g1^2*g2^2) + t^2.89/g2^12 + g1^2*g2^2*t^3.13 + g1^6*g2^6*t^3.38 + t^4.08/(g1^5*g2^17) + (2*t^4.31)/(g1^3*g2^3) + (3*g2^11*t^4.54)/g1 + (g1^3*t^4.58)/g2^9 + 2*g1^5*g2^5*t^4.82 + (g1^11*t^5.09)/g2 + t^5.24/(g1^12*g2^12) + (g2^2*t^5.47)/g1^10 + t^5.49/(g1^8*g2^8) + t^5.51/(g1^6*g2^18) + (g2^16*t^5.71)/g1^8 + (5*t^5.75)/(g1^4*g2^4) + t^5.79/g2^24 + (g2^10*t^5.98)/g1^2 - 3*t^6. + (g1^2*t^6.02)/g2^10 - g1^2*g2^14*t^6.23 + 2*g1^4*g2^4*t^6.25 - (g1^6*t^6.27)/g2^6 + t^6.7/(g1^11*g2^23) + g1^12*g2^12*t^6.76 + (2*t^6.93)/(g1^9*g2^9) + (2*t^6.95)/(g1^7*g2^19) + t^6.97/(g1^5*g2^29) + (3*g2^5*t^7.16)/g1^7 + (3*t^7.18)/(g1^5*g2^5) + t^7.2/(g1^3*g2^15) + (3*g2^19*t^7.4)/g1^5 + (4*g2^9*t^7.42)/g1^3 + t^7.44/(g1*g2) + (g1*t^7.46)/g2^11 + (g1^3*t^7.48)/g2^21 + g1^3*g2^3*t^7.69 + (g1^5*t^7.71)/g2^7 + t^7.86/(g1^18*g2^18) + g1^5*g2^17*t^7.92 + (g1^9*t^7.96)/g2^3 + (g1^11*t^7.98)/g2^13 + t^8.09/(g1^16*g2^4) + t^8.11/(g1^14*g2^14) + t^8.14/(g1^12*g2^24) + t^8.16/(g1^10*g2^34) + g1^11*g2^11*t^8.2 + (g2^10*t^8.33)/g1^14 + (3*t^8.37)/(g1^10*g2^10) + t^8.39/(g1^8*g2^20) + t^8.41/(g1^6*g2^30) + g1^17*g2^5*t^8.47 + (g2^24*t^8.56)/g1^12 + (2*g2^4*t^8.6)/g1^8 + (3*t^8.62)/(g1^6*g2^6) + t^8.64/(g1^4*g2^16) + t^8.66/(g1^2*g2^26) + t^8.68/g2^36 + (g2^18*t^8.83)/g1^6 - (2*g2^8*t^8.85)/g1^4 - (5*t^8.87)/(g1^2*g2^2) - (2*t^8.89)/g2^12 + (g1^2*t^8.91)/g2^22 - t^4.44/(g1*g2*y) - t^7.06/(g1^7*g2^7*y) - (g2^7*t^7.29)/(g1^5*y) - t^7.33/(g1*g2^13*y) + (g2^11*t^7.54)/(g1*y) + (g1^3*t^7.58)/(g2^9*y) + (g1^5*g2^5*t^7.82)/y + (g2^2*t^8.47)/(g1^10*y) + (2*t^8.49)/(g1^8*g2^8*y) + t^8.51/(g1^6*g2^18*y) + (2*g2^6*t^8.73)/(g1^6*y) + (3*t^8.75)/(g1^4*g2^4*y) + (2*t^8.77)/(g1^2*g2^14*y) + (g2^10*t^8.98)/(g1^2*y) - (t^4.44*y)/(g1*g2) - (t^7.06*y)/(g1^7*g2^7) - (g2^7*t^7.29*y)/g1^5 - (t^7.33*y)/(g1*g2^13) + (g2^11*t^7.54*y)/g1 + (g1^3*t^7.58*y)/g2^9 + g1^5*g2^5*t^7.82*y + (g2^2*t^8.47*y)/g1^10 + (2*t^8.49*y)/(g1^8*g2^8) + (t^8.51*y)/(g1^6*g2^18) + (2*g2^6*t^8.73*y)/g1^6 + (3*t^8.75*y)/(g1^4*g2^4) + (2*t^8.77*y)/(g1^2*g2^14) + (g2^10*t^8.98*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
50786 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_1^2$ | 0.7037 | 0.8634 | 0.8151 | [X:[], M:[1.0, 1.0362, 0.9275, 0.8913, 1.0362, 0.9638], q:[0.4275, 0.5725], qb:[0.5362, 0.5362], phi:[0.4819]] | t^2.67 + t^2.78 + 2*t^2.89 + t^3. + t^3.11 + t^3.33 + t^4.01 + 2*t^4.34 + t^4.45 + 3*t^4.66 + 2*t^4.77 + t^4.88 + t^5.35 + t^5.46 + 2*t^5.57 + t^5.67 + 5*t^5.78 + t^5.89 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
55263 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_2M_7$ | 0.7097 | 0.8734 | 0.8125 | [X:[], M:[0.9433, 1.048, 0.9608, 0.8561, 1.048, 0.952, 0.952], q:[0.4324, 0.6243], qb:[0.5196, 0.5196], phi:[0.476]] | t^2.57 + t^2.83 + 3*t^2.86 + t^2.88 + t^3.43 + t^4.02 + 2*t^4.28 + 3*t^4.55 + t^4.6 + 2*t^4.86 + t^5.14 + t^5.17 + t^5.4 + 2*t^5.42 + t^5.45 + t^5.66 + t^5.69 + 7*t^5.71 + t^5.74 + t^5.76 - 5*t^6. - t^4.43/y - t^4.43*y | detail | |
55078 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_3^2$ | 0.7044 | 0.8644 | 0.815 | [X:[], M:[0.921, 1.0395, 1.0, 0.8816, 1.0395, 0.9605], q:[0.4605, 0.6184], qb:[0.5, 0.5], phi:[0.4803]] | t^2.64 + t^2.76 + 2*t^2.88 + t^3. + t^3.12 + t^3.36 + t^4.2 + 2*t^4.32 + 3*t^4.44 + t^4.68 + 2*t^4.8 + t^5.15 + t^5.29 + t^5.41 + 2*t^5.53 + t^5.64 + 5*t^5.76 + t^5.88 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
55199 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ | 0.7184 | 0.8903 | 0.8069 | [X:[], M:[0.9328, 1.0555, 0.9561, 0.8334, 1.0555, 0.9445, 0.8334], q:[0.4225, 0.6447], qb:[0.5219, 0.5219], phi:[0.4722]] | 2*t^2.5 + t^2.8 + 2*t^2.83 + t^2.87 + t^3.17 + t^3.95 + 2*t^4.25 + 3*t^4.55 + t^4.62 + 2*t^4.92 + 3*t^5. + t^5.28 + 2*t^5.3 + 3*t^5.33 + 2*t^5.37 + t^5.6 + 6*t^5.67 + t^5.74 + t^5.96 - 4*t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
46615 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ | 0.7171 | 0.8807 | 0.8142 | [X:[], M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.4607, 0.6179], qb:[0.6179, 0.4607], phi:[0.4607]] | 6*t^2.76 + t^3.71 + 3*t^4.15 + 4*t^4.62 + 3*t^5.09 + 17*t^5.53 - 8*t^6. - t^4.38/y - t^4.38*y | detail |