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 |
---|---|---|---|---|---|---|---|---|---|
46836 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ | 0.6993 | 0.8557 | 0.8173 | [X:[], M:[1.0132, 1.0457, 0.9868, 0.8954, 0.9543, 1.0294], q:[0.4477, 0.5391], qb:[0.5066, 0.5655], phi:[0.4853]] | [X:[], M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [-2, 2]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ M_3$, $ M_1$, $ M_6$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_1M_4$, $ M_5^2$, $ M_4M_6$, $ M_1M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5M_6$ | . | -2 | t^2.69 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.14 + t^4.32 + t^4.42 + 2*t^4.5 + t^4.59 + t^4.67 + t^4.69 + t^4.77 + t^4.85 + t^5.37 + t^5.55 + t^5.73 + t^5.77 + t^5.9 + t^5.95 - 2*t^6. + t^6.05 + t^6.08 + t^6.13 + t^6.23 + t^6.26 + t^6.3 + t^6.43 + t^6.83 + 2*t^7. + t^7.1 + 3*t^7.18 + t^7.28 + 3*t^7.36 + t^7.38 + t^7.46 + 3*t^7.53 + t^7.55 + t^7.63 + t^7.65 + 3*t^7.71 + t^7.73 + t^7.81 + t^7.83 + 2*t^7.89 + t^7.91 + t^7.99 + 2*t^8.06 + t^8.24 + t^8.28 + t^8.41 + 2*t^8.46 - t^8.51 + t^8.56 + t^8.59 + 3*t^8.64 - 4*t^8.69 + t^8.74 + t^8.77 - t^8.78 + 3*t^8.81 + t^8.83 - 5*t^8.86 + 2*t^8.91 + t^8.94 - 3*t^8.96 + 4*t^8.99 - t^4.46/y - t^7.14/y + t^7.77/y + t^8.55/y + t^8.65/y + t^8.73/y + t^8.77/y + (2*t^8.82)/y + (2*t^8.9)/y + t^8.95/y - t^4.46*y - t^7.14*y + t^7.77*y + t^8.55*y + t^8.65*y + t^8.73*y + t^8.77*y + 2*t^8.82*y + 2*t^8.9*y + t^8.95*y | (g1^16*t^2.69)/g2^8 + (g1^12*t^2.86)/g2^4 + t^2.96/g1^8 + g1^8*t^3.04 + (g2^2*t^3.09)/g1^2 + (g2^4*t^3.14)/g1^12 + g1^4*g2^4*t^3.22 + (g1^17*t^4.14)/g2^9 + (g1^13*t^4.32)/g2^5 + t^4.42/(g1^7*g2) + (2*g1^9*t^4.5)/g2 + (g2^3*t^4.59)/g1^11 + g1^5*g2^3*t^4.67 + (g2^7*t^4.69)/g1^31 + (g2^7*t^4.77)/g1^15 + g1*g2^7*t^4.85 + (g1^32*t^5.37)/g2^16 + (g1^28*t^5.55)/g2^12 + (g1^24*t^5.73)/g2^8 + (g1^14*t^5.77)/g2^6 + (g1^20*t^5.9)/g2^4 + (g1^10*t^5.95)/g2^2 - 2*t^6. + (g2^2*t^6.05)/g1^10 + g1^16*t^6.08 + g1^6*g2^2*t^6.13 + (g2^6*t^6.23)/g1^14 + g1^12*g2^4*t^6.26 + g1^2*g2^6*t^6.3 + g1^8*g2^8*t^6.43 + (g1^33*t^6.83)/g2^17 + (2*g1^29*t^7.)/g2^13 + (g1^9*t^7.1)/g2^9 + (3*g1^25*t^7.18)/g2^9 + (g1^5*t^7.28)/g2^5 + (3*g1^21*t^7.36)/g2^5 + t^7.38/(g1^15*g2) + (g1*t^7.46)/g2 + (3*g1^17*t^7.53)/g2 + (g2^3*t^7.55)/g1^19 + (g2^3*t^7.63)/g1^3 + (g2^7*t^7.65)/g1^39 + 3*g1^13*g2^3*t^7.71 + (g2^7*t^7.73)/g1^23 + (g2^7*t^7.81)/g1^7 + (g2^11*t^7.83)/g1^43 + 2*g1^9*g2^7*t^7.89 + (g2^11*t^7.91)/g1^27 + (g2^11*t^7.99)/g1^11 + (g1^48*t^8.06)/g2^24 + g1^5*g2^11*t^8.06 + (g1^44*t^8.24)/g2^20 + (g1^34*t^8.28)/g2^18 + (g1^40*t^8.41)/g2^16 + (2*g1^30*t^8.46)/g2^14 - (g1^20*t^8.51)/g2^12 + (g1^10*t^8.56)/g2^10 + (g1^36*t^8.59)/g2^12 + (3*g1^26*t^8.64)/g2^10 - (4*g1^16*t^8.69)/g2^8 + (g1^6*t^8.74)/g2^6 + (g1^32*t^8.77)/g2^8 - t^8.78/(g1^4*g2^4) + (3*g1^22*t^8.81)/g2^6 + t^8.83/(g1^14*g2^2) - (5*g1^12*t^8.86)/g2^4 + (2*g1^2*t^8.91)/g2^2 + (g1^28*t^8.94)/g2^4 - (3*t^8.96)/g1^8 + (4*g1^18*t^8.99)/g2^2 - (g1*t^4.46)/(g2*y) - (g1^17*t^7.14)/(g2^9*y) + (g2^7*t^7.77)/(g1^15*y) + (g1^28*t^8.55)/(g2^12*y) + (g1^8*t^8.65)/(g2^8*y) + (g1^24*t^8.73)/(g2^8*y) + (g1^14*t^8.77)/(g2^6*y) + (2*g1^4*t^8.82)/(g2^4*y) + (2*g1^20*t^8.9)/(g2^4*y) + (g1^10*t^8.95)/(g2^2*y) - (g1*t^4.46*y)/g2 - (g1^17*t^7.14*y)/g2^9 + (g2^7*t^7.77*y)/g1^15 + (g1^28*t^8.55*y)/g2^12 + (g1^8*t^8.65*y)/g2^8 + (g1^24*t^8.73*y)/g2^8 + (g1^14*t^8.77*y)/g2^6 + (2*g1^4*t^8.82*y)/g2^4 + (2*g1^20*t^8.9*y)/g2^4 + (g1^10*t^8.95*y)/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 |
---|---|---|---|---|---|---|---|---|
55084 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ M_4^2$ | 0.6917 | 0.8473 | 0.8164 | [X:[], M:[1.013, 0.9935, 0.987, 1.0, 1.0065, 1.0032], q:[0.5, 0.487], qb:[0.5065, 0.513], phi:[0.4984]] | t^2.96 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.04 + t^3.06 + t^4.42 + t^4.46 + t^4.48 + 2*t^4.5 + t^4.51 + 2*t^4.53 + t^4.55 + t^4.57 + t^5.97 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail | |
55155 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ M_5M_7$ | 0.6961 | 0.8501 | 0.8189 | [X:[], M:[1.0261, 1.0229, 0.9739, 0.9281, 0.9771, 1.0245, 1.0229], q:[0.4641, 0.5098], qb:[0.5131, 0.5621], phi:[0.4878]] | t^2.78 + t^2.92 + 3*t^3.07 + t^3.08 + t^3.23 + t^4.25 + t^4.38 + t^4.39 + t^4.52 + t^4.53 + 2*t^4.54 + t^4.68 + t^4.69 + t^4.84 + t^5.57 + t^5.86 + t^5.99 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
50913 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ M_5^2$ | 0.6951 | 0.8495 | 0.8182 | [X:[], M:[1.0384, 1.0, 0.9616, 0.9616, 1.0, 1.0192], q:[0.4808, 0.4808], qb:[0.5192, 0.5575], phi:[0.4904]] | 2*t^2.88 + 2*t^3. + t^3.06 + t^3.12 + t^3.23 + 3*t^4.36 + 2*t^4.47 + 3*t^4.59 + t^4.7 + t^4.82 + t^5.77 + t^5.88 + 2*t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail | |
55188 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ | 0.6516 | 0.817 | 0.7975 | [X:[], M:[0.8666, 1.1904, 1.1334, 0.7525, 0.8096, 1.0285], q:[0.3762, 0.7571], qb:[0.4333, 0.4904], phi:[0.4857]] | t^2.26 + t^2.43 + t^2.6 + t^2.77 + t^3.09 + t^3.4 + t^3.57 + t^3.71 + t^3.89 + 2*t^4.06 + t^4.23 + t^4.4 + t^4.51 + t^4.69 + 2*t^4.86 + 2*t^5.03 + 2*t^5.2 + t^5.34 + t^5.37 + t^5.51 + t^5.54 + t^5.69 + t^5.86 + t^5.97 - t^6. - t^4.46/y - t^4.46*y | detail | |
55280 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.5708 | 0.7142 | 0.7992 | [X:[], M:[1.2793, 1.015, 0.7207, 0.6907, 0.985, 1.1471], q:[0.3454, 0.3754], qb:[0.6396, 0.9339], phi:[0.4264]] | t^2.07 + t^2.16 + t^2.96 + t^3.04 + t^3.35 + 2*t^3.44 + t^3.53 + t^3.84 + t^4.14 + t^4.23 + t^4.32 + t^4.72 + t^5.03 + 2*t^5.12 + t^5.21 + t^5.42 + 2*t^5.51 + 2*t^5.6 + t^5.69 + t^5.91 - t^6. - t^4.28/y - t^4.28*y | detail | |
55162 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6559 | 0.8059 | 0.8139 | [X:[], M:[1.1502, 1.0498, 0.8498, 0.7503, 0.9502, 1.1], q:[0.3752, 0.4747], qb:[0.5751, 0.775], phi:[0.45]] | t^2.25 + t^2.55 + t^2.85 + t^3.15 + t^3.3 + t^3.45 + t^3.6 + t^3.9 + t^4.05 + 2*t^4.2 + 2*t^4.5 + 2*t^4.8 + 2*t^5.1 + t^5.4 + t^5.55 + t^5.7 + 2*t^5.85 - t^6. - t^4.35/y - t^4.35*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 |
---|---|---|---|---|---|---|---|---|---|
46737 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ | 0.7024 | 0.8607 | 0.8161 | [X:[], M:[1.02, 1.0504, 0.98, 0.8793, 0.9496], q:[0.4396, 0.5404], qb:[0.51, 0.5803], phi:[0.4824]] | t^2.64 + t^2.85 + t^2.89 + t^2.94 + t^3.06 + t^3.15 + t^3.27 + t^4.09 + t^4.3 + t^4.39 + 2*t^4.51 + t^4.6 + t^4.69 + t^4.72 + t^4.81 + t^4.93 + t^5.28 + t^5.49 + t^5.53 + t^5.7 + t^5.74 + t^5.79 + t^5.83 + t^5.91 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |