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 |
---|---|---|---|---|---|---|---|---|---|
598 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ | 0.7203 | 0.8855 | 0.8134 | [X:[], M:[1.0, 0.8402, 0.8171, 1.0231, 0.9769], q:[0.5799, 0.4201], qb:[0.603, 0.5568], phi:[0.4601]] | [X:[], M:[[0, 0], [-4, -4], [-6, -2], [2, -2], [-2, 2]], q:[[2, 2], [-2, -2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_2$, $ \phi_1^2$, $ M_5$, $ M_1$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_3\phi_1^2$, $ M_2\phi_1^2$, $ M_3M_5$, $ M_1M_3$, $ M_2M_5$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$ | . | -2 | t^2.45 + t^2.52 + t^2.76 + t^2.93 + t^3. + t^3.07 + t^3.41 + t^3.9 + t^4.31 + t^4.38 + t^4.45 + t^4.72 + t^4.79 + 2*t^4.86 + t^4.9 + t^4.93 + t^4.97 + t^5. + t^5.04 + t^5.21 + t^5.28 + t^5.38 + t^5.45 + 2*t^5.52 + t^5.69 + t^5.76 + t^5.83 + t^5.86 - 2*t^6. - t^6.07 + t^6.17 + t^6.34 + t^6.35 + t^6.42 - t^6.48 - t^6.55 + t^6.66 + t^6.76 + t^6.82 + 2*t^6.83 + 2*t^6.9 + t^6.97 + t^7.07 + t^7.17 + t^7.21 + 2*t^7.24 + 3*t^7.31 + t^7.35 + 2*t^7.38 + t^7.42 + t^7.45 + t^7.48 + t^7.49 + t^7.52 + t^7.56 + t^7.62 + t^7.65 + t^7.66 + 2*t^7.72 + t^7.73 + t^7.76 + 2*t^7.79 + 2*t^7.8 + t^7.83 + t^7.86 + t^7.9 + t^7.93 - t^7.96 + 2*t^7.97 + t^8. - t^8.03 + t^8.04 + t^8.07 - 2*t^8.1 + t^8.13 + t^8.14 - t^8.17 + t^8.2 + 2*t^8.21 - t^8.24 + t^8.27 + 3*t^8.28 + t^8.31 + t^8.35 - 2*t^8.45 - 3*t^8.52 - t^8.59 + 2*t^8.62 + t^8.69 + t^8.79 + t^8.8 - t^8.86 + t^8.87 + t^8.9 - 4*t^8.93 + t^8.94 - t^4.38/y - t^6.83/y - t^6.9/y - t^7.14/y + t^7.62/y + t^7.86/y + t^7.93/y + t^7.97/y + t^8.21/y + t^8.28/y + t^8.38/y + (2*t^8.45)/y + (2*t^8.52)/y + t^8.59/y + t^8.69/y + t^8.76/y + t^8.83/y + t^8.86/y + (2*t^8.93)/y - t^4.38*y - t^6.83*y - t^6.9*y - t^7.14*y + t^7.62*y + t^7.86*y + t^7.93*y + t^7.97*y + t^8.21*y + t^8.28*y + t^8.38*y + 2*t^8.45*y + 2*t^8.52*y + t^8.59*y + t^8.69*y + t^8.76*y + t^8.83*y + t^8.86*y + 2*t^8.93*y | t^2.45/(g1^6*g2^2) + t^2.52/(g1^4*g2^4) + t^2.76/(g1^2*g2^2) + (g2^2*t^2.93)/g1^2 + t^3. + (g1^2*t^3.07)/g2^2 + g1^2*g2^6*t^3.41 + t^3.9/(g1^5*g2^5) + (g2*t^4.31)/g1^3 + t^4.38/(g1*g2) + (g1*t^4.45)/g2^3 + (g2^7*t^4.72)/g1 + g1*g2^5*t^4.79 + 2*g1^3*g2^3*t^4.86 + t^4.9/(g1^12*g2^4) + g1^5*g2*t^4.93 + t^4.97/(g1^10*g2^6) + (g1^7*t^5.)/g2 + t^5.04/(g1^8*g2^8) + t^5.21/(g1^8*g2^4) + t^5.28/(g1^6*g2^6) + t^5.38/g1^8 + t^5.45/(g1^6*g2^2) + (2*t^5.52)/(g1^4*g2^4) + t^5.69/g1^4 + t^5.76/(g1^2*g2^2) + t^5.83/g2^4 + (g2^4*t^5.86)/g1^4 - 2*t^6. - (g1^2*t^6.07)/g2^2 + g2^4*t^6.17 + g2^8*t^6.34 + t^6.35/(g1^11*g2^7) + t^6.42/(g1^9*g2^9) - g1^4*g2^4*t^6.48 - g1^6*g2^2*t^6.55 + t^6.66/(g1^7*g2^7) + t^6.76/(g1^9*g2) + g1^4*g2^12*t^6.82 + (2*t^6.83)/(g1^7*g2^3) + (2*t^6.9)/(g1^5*g2^5) + t^6.97/(g1^3*g2^7) + t^7.07/(g1^5*g2) + (g2^5*t^7.17)/g1^7 + t^7.21/(g1*g2^5) + (2*g2^3*t^7.24)/g1^5 + (3*g2*t^7.31)/g1^3 + t^7.35/(g1^18*g2^6) + (2*t^7.38)/(g1*g2) + t^7.42/(g1^16*g2^8) + (g1*t^7.45)/g2^3 + (g2^5*t^7.48)/g1^3 + t^7.49/(g1^14*g2^10) + (g1^3*t^7.52)/g2^5 + t^7.56/(g1^12*g2^12) + g1*g2*t^7.62 + (g2^9*t^7.65)/g1^3 + t^7.66/(g1^14*g2^6) + (2*g2^7*t^7.72)/g1 + t^7.73/(g1^12*g2^8) + (g1^5*t^7.76)/g2^3 + 2*g1*g2^5*t^7.79 + (2*t^7.8)/(g1^10*g2^10) + t^7.83/(g1^14*g2^2) + g1^3*g2^3*t^7.86 + t^7.9/(g1^12*g2^4) + g1^5*g2*t^7.93 - g1*g2^9*t^7.96 + (2*t^7.97)/(g1^10*g2^6) + (g1^7*t^8.)/g2 - g1^3*g2^7*t^8.03 + t^8.04/(g1^8*g2^8) + (g1^9*t^8.07)/g2^3 - 2*g1^5*g2^5*t^8.1 + g1*g2^13*t^8.13 + t^8.14/(g1^10*g2^2) - g1^7*g2^3*t^8.17 + g1^3*g2^11*t^8.2 + (2*t^8.21)/(g1^8*g2^4) - g1^9*g2*t^8.24 + g1^5*g2^9*t^8.27 + (3*t^8.28)/(g1^6*g2^6) + (g2^2*t^8.31)/g1^10 + t^8.35/(g1^4*g2^8) - (2*t^8.45)/(g1^6*g2^2) - (3*t^8.52)/(g1^4*g2^4) - t^8.59/(g1^2*g2^6) + (2*g2^2*t^8.62)/g1^6 + t^8.69/g1^4 + (g2^6*t^8.79)/g1^6 + t^8.8/(g1^17*g2^9) - (g2^4*t^8.86)/g1^4 + t^8.87/(g1^15*g2^11) + (g1^2*t^8.9)/g2^6 - (4*g2^2*t^8.93)/g1^2 + t^8.94/(g1^13*g2^13) - t^4.38/(g1*g2*y) - t^6.83/(g1^7*g2^3*y) - t^6.9/(g1^5*g2^5*y) - t^7.14/(g1^3*g2^3*y) + (g1*g2*t^7.62)/y + (g1^3*g2^3*t^7.86)/y + (g1^5*g2*t^7.93)/y + t^7.97/(g1^10*g2^6*y) + t^8.21/(g1^8*g2^4*y) + t^8.28/(g1^6*g2^6*y) + t^8.38/(g1^8*y) + (2*t^8.45)/(g1^6*g2^2*y) + (2*t^8.52)/(g1^4*g2^4*y) + t^8.59/(g1^2*g2^6*y) + t^8.69/(g1^4*y) + t^8.76/(g1^2*g2^2*y) + t^8.83/(g2^4*y) + (g2^4*t^8.86)/(g1^4*y) + (2*g2^2*t^8.93)/(g1^2*y) - (t^4.38*y)/(g1*g2) - (t^6.83*y)/(g1^7*g2^3) - (t^6.9*y)/(g1^5*g2^5) - (t^7.14*y)/(g1^3*g2^3) + g1*g2*t^7.62*y + g1^3*g2^3*t^7.86*y + g1^5*g2*t^7.93*y + (t^7.97*y)/(g1^10*g2^6) + (t^8.21*y)/(g1^8*g2^4) + (t^8.28*y)/(g1^6*g2^6) + (t^8.38*y)/g1^8 + (2*t^8.45*y)/(g1^6*g2^2) + (2*t^8.52*y)/(g1^4*g2^4) + (t^8.59*y)/(g1^2*g2^6) + (t^8.69*y)/g1^4 + (t^8.76*y)/(g1^2*g2^2) + (t^8.83*y)/g2^4 + (g2^4*t^8.86*y)/g1^4 + (2*g2^2*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
946 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_1M_3$ | 0.6971 | 0.8526 | 0.8176 | [X:[], M:[1.0, 0.9519, 1.0, 0.9519, 1.0481], q:[0.524, 0.476], qb:[0.476, 0.5721], phi:[0.488]] | 2*t^2.86 + t^2.93 + 2*t^3. + t^3.14 + t^3.29 + 3*t^4.32 + 2*t^4.46 + 3*t^4.61 + t^4.75 + t^4.9 + t^5.71 + 2*t^5.78 + 2*t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail | |
947 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_3M_6$ | 0.7067 | 0.861 | 0.8208 | [X:[], M:[1.0, 0.8738, 0.8738, 1.0, 1.0, 1.1262], q:[0.5631, 0.4369], qb:[0.5631, 0.5631], phi:[0.4685]] | t^2.62 + t^2.81 + 3*t^3. + 2*t^3.38 + t^4.03 + 3*t^4.41 + 6*t^4.78 + t^5.24 + t^5.43 + t^5.62 + 3*t^5.81 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
945 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_3\phi_1^2$ | 0.6934 | 0.8487 | 0.8171 | [X:[], M:[1.0, 0.979, 1.0105, 0.9685, 1.0315], q:[0.5105, 0.4895], qb:[0.479, 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 | |
948 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_5M_6$ | 0.7195 | 0.8834 | 0.8145 | [X:[], M:[1.0, 0.8368, 0.844, 0.9927, 1.0073, 0.9927], q:[0.5816, 0.4184], qb:[0.5744, 0.5889], phi:[0.4592]] | t^2.51 + t^2.53 + t^2.76 + 2*t^2.98 + t^3. + t^3.51 + t^3.89 + t^4.36 + t^4.38 + t^4.4 + t^4.82 + t^4.85 + 2*t^4.87 + t^4.89 + t^4.91 + t^5.02 + t^5.04 + t^5.06 + t^5.27 + t^5.29 + t^5.49 + 3*t^5.51 + 2*t^5.73 + t^5.76 + 2*t^5.96 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
951 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ | 0.7409 | 0.9251 | 0.8009 | [X:[], M:[1.0, 0.8474, 0.8238, 1.0236, 0.9764, 0.6908], q:[0.5763, 0.4237], qb:[0.5999, 0.5527], phi:[0.4618]] | t^2.07 + t^2.47 + t^2.54 + t^2.77 + t^2.93 + t^3. + t^3.07 + t^3.39 + t^4.14 + t^4.31 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + t^4.7 + t^4.77 + 3*t^4.84 + t^4.91 + t^4.94 + t^4.99 + t^5. + t^5.01 + t^5.07 + t^5.08 + t^5.14 + t^5.24 + t^5.31 + t^5.4 + t^5.46 + t^5.47 + 2*t^5.54 + t^5.7 + t^5.77 + t^5.84 + t^5.86 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
1952 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ | 0.5734 | 0.7016 | 0.8172 | [X:[1.5896, 1.3583], M:[1.0, 0.6417, 0.4104, 1.2312, 0.7688], q:[0.6792, 0.3208], qb:[0.9104, 0.4479], phi:[0.4104]] | t^2.31 + t^2.46 + t^3. + t^3.16 + t^3.38 + t^3.54 + t^3.69 + t^3.92 + t^4.08 + t^4.61 + 2*t^4.77 + t^4.92 + t^5.31 + t^5.46 + t^5.69 + t^5.84 - t^4.23/y - t^4.23*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 |
---|---|---|---|---|---|---|---|---|---|
371 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |