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 |
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50786 | 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$ + $ 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]] | [X:[], M:[[0], [2], [-4], [-6], [2], [-2]], q:[[-4], [4]], qb:[[2], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_2M_3$, $ M_1M_6$, $ M_1\phi_1^2$ | $M_2\phi_1^2$, $ M_4q_2\tilde{q}_1$ | -2 | 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. + 2*t^6.22 - t^6.33 + t^6.65 + t^6.68 + t^6.79 + 2*t^6.9 + 2*t^7.01 + t^7.12 + 4*t^7.23 + 4*t^7.34 + t^7.45 + 5*t^7.55 + 5*t^7.66 + t^7.77 + t^7.99 + 2*t^8.02 + t^8.1 + t^8.13 + t^8.21 + 2*t^8.24 + 3*t^8.35 + 4*t^8.46 + t^8.57 + 5*t^8.67 - 5*t^8.89 - t^4.45/y - t^7.12/y - t^7.23/y + t^7.66/y + t^7.77/y + t^8.46/y + (2*t^8.57)/y + (3*t^8.67)/y + (3*t^8.78)/y + (3*t^8.89)/y - t^4.45*y - t^7.12*y - t^7.23*y + t^7.66*y + t^7.77*y + t^8.46*y + 2*t^8.57*y + 3*t^8.67*y + 3*t^8.78*y + 3*t^8.89*y | t^2.67/g1^6 + t^2.78/g1^4 + (2*t^2.89)/g1^2 + t^3. + g1^2*t^3.11 + g1^6*t^3.33 + t^4.01/g1^9 + (2*t^4.34)/g1^3 + t^4.45/g1 + 3*g1^3*t^4.66 + 2*g1^5*t^4.77 + g1^7*t^4.88 + t^5.35/g1^12 + t^5.46/g1^10 + (2*t^5.57)/g1^8 + t^5.67/g1^6 + (5*t^5.78)/g1^4 + t^5.89/g1^2 - 2*t^6. + 2*g1^4*t^6.22 - g1^6*t^6.33 + g1^12*t^6.65 + t^6.68/g1^15 + t^6.79/g1^13 + (2*t^6.9)/g1^11 + (2*t^7.01)/g1^9 + t^7.12/g1^7 + (4*t^7.23)/g1^5 + (4*t^7.34)/g1^3 + t^7.45/g1 + 5*g1*t^7.55 + 5*g1^3*t^7.66 + g1^5*t^7.77 + g1^9*t^7.99 + (2*t^8.02)/g1^18 + g1^11*t^8.1 + t^8.13/g1^16 + g1^13*t^8.21 + (2*t^8.24)/g1^14 + (3*t^8.35)/g1^12 + (4*t^8.46)/g1^10 + t^8.57/g1^8 + (5*t^8.67)/g1^6 - (5*t^8.89)/g1^2 - t^4.45/(g1*y) - t^7.12/(g1^7*y) - t^7.23/(g1^5*y) + (g1^3*t^7.66)/y + (g1^5*t^7.77)/y + t^8.46/(g1^10*y) + (2*t^8.57)/(g1^8*y) + (3*t^8.67)/(g1^6*y) + (3*t^8.78)/(g1^4*y) + (3*t^8.89)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.12*y)/g1^7 - (t^7.23*y)/g1^5 + g1^3*t^7.66*y + g1^5*t^7.77*y + (t^8.46*y)/g1^10 + (2*t^8.57*y)/g1^8 + (3*t^8.67*y)/g1^6 + (3*t^8.78*y)/g1^4 + (3*t^8.89*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 |
---|---|---|---|---|---|---|---|---|
56175 | $M_1q_1q_2$ + $ 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$ + $ M_2M_7$ | 0.7073 | 0.87 | 0.813 | [X:[], M:[1.0, 1.041, 0.9181, 0.8771, 1.041, 0.959, 0.959], q:[0.4181, 0.5819], qb:[0.541, 0.541], phi:[0.4795]] | t^2.63 + t^2.75 + 3*t^2.88 + t^3. + t^3.37 + t^3.95 + 2*t^4.32 + t^4.44 + 3*t^4.68 + 2*t^4.81 + t^4.93 + t^5.26 + t^5.39 + 3*t^5.51 + 2*t^5.63 + 7*t^5.75 + t^5.88 - 4*t^6. - t^4.44/y - t^4.44*y | detail | |
56172 | $M_1q_1q_2$ + $ 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$ + $ M_4M_7$ | 0.6957 | 0.8499 | 0.8186 | [X:[], M:[1.0, 1.022, 0.956, 0.934, 1.022, 0.978, 1.066], q:[0.456, 0.544], qb:[0.522, 0.522], phi:[0.489]] | t^2.87 + 2*t^2.93 + t^3. + t^3.07 + 2*t^3.2 + t^4.2 + 2*t^4.4 + t^4.47 + 3*t^4.6 + 2*t^4.67 + t^4.73 + 4*t^5.87 + t^5.93 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
56174 | $M_1q_1q_2$ + $ 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$ + $ M_6M_7$ | 0.7005 | 0.8578 | 0.8167 | [X:[], M:[1.0, 1.0314, 0.9372, 0.9058, 1.0314, 0.9686, 1.0314], q:[0.4372, 0.5628], qb:[0.5314, 0.5314], phi:[0.4843]] | t^2.72 + t^2.81 + t^2.91 + t^3. + 2*t^3.09 + t^3.28 + t^4.08 + 2*t^4.36 + t^4.45 + 3*t^4.64 + 2*t^4.74 + t^4.83 + t^5.43 + t^5.53 + t^5.62 + 4*t^5.81 + t^5.91 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
56176 | $M_1q_1q_2$ + $ 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$ + $ M_7q_2\tilde{q}_1$ | 0.715 | 0.8847 | 0.8082 | [X:[], M:[1.0, 1.0479, 0.9042, 0.8564, 1.0479, 0.9521, 0.8564], q:[0.4042, 0.5958], qb:[0.5479, 0.5479], phi:[0.4761]] | 2*t^2.57 + t^2.71 + 2*t^2.86 + t^3. + t^3.14 + t^3.85 + 2*t^4.28 + t^4.43 + 3*t^4.72 + 2*t^4.86 + t^5. + 3*t^5.14 + 2*t^5.28 + 4*t^5.43 + 2*t^5.57 + 6*t^5.71 + t^5.86 - 3*t^6. - t^4.43/y - t^4.43*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.44/y - t^4.44*y | detail |