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 |
---|---|---|---|---|---|---|---|---|---|
50885 | 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_2^2$ + $ M_5\phi_1^2$ + $ M_1M_6$ | 0.6974 | 0.8554 | 0.8153 | [X:[], M:[1.0548, 1.0, 0.9452, 0.9635, 1.0183, 0.9452], q:[0.4817, 0.4635], qb:[0.5183, 0.5731], phi:[0.4909]] | [X:[], M:[[6], [0], [-6], [-4], [2], [-6]], q:[[-2], [-4]], qb:[[2], [8]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3M_4$, $ M_4M_6$, $ M_4^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_3$, $ M_2M_6$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_4M_5$, $ M_2\phi_1^2$ | . | -2 | 2*t^2.84 + t^2.89 + t^2.95 + t^3. + t^3.05 + t^3.27 + t^4.25 + t^4.31 + t^4.36 + t^4.42 + t^4.47 + 2*t^4.58 + t^4.64 + t^4.75 + t^4.91 + 2*t^5.67 + t^5.73 + 3*t^5.78 + t^5.84 + 3*t^5.89 + t^5.95 - 2*t^6. + t^6.11 - t^6.16 + t^6.22 + t^6.55 + 2*t^7.09 + 2*t^7.14 + 3*t^7.2 + 4*t^7.25 + 2*t^7.31 + 2*t^7.36 + 3*t^7.42 + t^7.47 + 2*t^7.53 + 2*t^7.58 + t^7.69 + t^7.75 + 2*t^7.86 + t^7.91 + t^8.02 + t^8.19 + 3*t^8.51 + 2*t^8.56 + 4*t^8.62 + 3*t^8.67 + 5*t^8.73 + t^8.78 - t^8.89 - t^8.95 - t^4.47/y - t^7.31/y - t^7.36/y + t^7.58/y + t^7.64/y + t^8.67/y + (2*t^8.73)/y + (2*t^8.78)/y + (3*t^8.84)/y + (3*t^8.89)/y + (2*t^8.95)/y - t^4.47*y - t^7.31*y - t^7.36*y + t^7.58*y + t^7.64*y + t^8.67*y + 2*t^8.73*y + 2*t^8.78*y + 3*t^8.84*y + 3*t^8.89*y + 2*t^8.95*y | (2*t^2.84)/g1^6 + t^2.89/g1^4 + t^2.95/g1^2 + t^3. + g1^2*t^3.05 + g1^10*t^3.27 + t^4.25/g1^9 + t^4.31/g1^7 + t^4.36/g1^5 + t^4.42/g1^3 + t^4.47/g1 + 2*g1^3*t^4.58 + g1^5*t^4.64 + g1^9*t^4.75 + g1^15*t^4.91 + (2*t^5.67)/g1^12 + t^5.73/g1^10 + (3*t^5.78)/g1^8 + t^5.84/g1^6 + (3*t^5.89)/g1^4 + t^5.95/g1^2 - 2*t^6. + g1^4*t^6.11 - g1^6*t^6.16 + g1^8*t^6.22 + g1^20*t^6.55 + (2*t^7.09)/g1^15 + (2*t^7.14)/g1^13 + (3*t^7.2)/g1^11 + (4*t^7.25)/g1^9 + (2*t^7.31)/g1^7 + (2*t^7.36)/g1^5 + (3*t^7.42)/g1^3 + t^7.47/g1 + 2*g1*t^7.53 + 2*g1^3*t^7.58 + g1^7*t^7.69 + g1^9*t^7.75 + 2*g1^13*t^7.86 + g1^15*t^7.91 + g1^19*t^8.02 + g1^25*t^8.19 + (3*t^8.51)/g1^18 + (2*t^8.56)/g1^16 + (4*t^8.62)/g1^14 + (3*t^8.67)/g1^12 + (5*t^8.73)/g1^10 + t^8.78/g1^8 - t^8.89/g1^4 - t^8.95/g1^2 - t^4.47/(g1*y) - t^7.31/(g1^7*y) - t^7.36/(g1^5*y) + (g1^3*t^7.58)/y + (g1^5*t^7.64)/y + t^8.67/(g1^12*y) + (2*t^8.73)/(g1^10*y) + (2*t^8.78)/(g1^8*y) + (3*t^8.84)/(g1^6*y) + (3*t^8.89)/(g1^4*y) + (2*t^8.95)/(g1^2*y) - (t^4.47*y)/g1 - (t^7.31*y)/g1^7 - (t^7.36*y)/g1^5 + g1^3*t^7.58*y + g1^5*t^7.64*y + (t^8.67*y)/g1^12 + (2*t^8.73*y)/g1^10 + (2*t^8.78*y)/g1^8 + (3*t^8.84*y)/g1^6 + (3*t^8.89*y)/g1^4 + (2*t^8.95*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 |
---|---|---|---|---|---|---|---|---|
56020 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_5\phi_1^2$ + $ M_1M_6$ + $ M_5M_7$ | 0.6993 | 0.8588 | 0.8143 | [X:[], M:[1.0628, 1.0, 0.9372, 0.9582, 1.0209, 0.9372, 0.9791], q:[0.4791, 0.4582], qb:[0.5209, 0.5837], phi:[0.4895]] | 2*t^2.81 + t^2.87 + 2*t^2.94 + t^3. + t^3.31 + t^4.22 + t^4.28 + t^4.34 + t^4.41 + t^4.47 + 2*t^4.59 + t^4.66 + t^4.78 + t^4.97 + 2*t^5.62 + t^5.69 + 5*t^5.75 + 2*t^5.81 + 3*t^5.87 + t^5.94 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
56018 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_5\phi_1^2$ + $ M_1M_6$ + $ M_7\phi_1^2$ | 0.6959 | 0.8526 | 0.8162 | [X:[], M:[1.0469, 1.0, 0.9531, 0.9687, 1.0156, 0.9531, 1.0156], q:[0.4844, 0.4687], qb:[0.5156, 0.5626], phi:[0.4922]] | 2*t^2.86 + t^2.91 + t^3. + 2*t^3.05 + t^3.23 + t^4.29 + t^4.34 + t^4.38 + t^4.43 + t^4.48 + 2*t^4.57 + t^4.62 + t^4.71 + t^4.85 + 2*t^5.72 + t^5.77 + t^5.81 + 4*t^5.91 + t^5.95 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
56021 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_5\phi_1^2$ + $ M_1M_6$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7082 | 0.8763 | 0.8082 | [X:[], M:[1.0876, 1.0, 0.9124, 0.9416, 1.0292, 0.9124, 0.854], q:[0.4708, 0.4416], qb:[0.5292, 0.6168], phi:[0.4854]] | t^2.56 + 2*t^2.74 + t^2.82 + t^2.91 + t^3. + t^3.09 + t^4.11 + t^4.19 + t^4.28 + t^4.37 + t^4.46 + 2*t^4.63 + t^4.72 + t^4.89 + t^5.12 + t^5.16 + 2*t^5.3 + t^5.39 + 3*t^5.47 + 2*t^5.56 + 4*t^5.65 + t^5.74 + 3*t^5.82 + t^5.91 - 2*t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
48144 | 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_2^2$ + $ M_5\phi_1^2$ | 0.6934 | 0.8487 | 0.8171 | [X:[], M:[1.0315, 1.0, 0.9685, 0.979, 1.0105], q:[0.4895, 0.479], qb:[0.5105, 0.542], phi:[0.4948]] | t^2.91 + t^2.94 + t^2.97 + t^3. + t^3.03 + t^3.09 + t^3.16 + t^4.36 + t^4.39 + t^4.42 + t^4.45 + t^4.48 + 2*t^4.55 + t^4.58 + t^4.64 + t^4.74 + 2*t^5.87 + 2*t^5.94 + t^5.97 - t^6. - t^4.48/y - t^4.48*y | detail |