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 |
---|---|---|---|---|---|---|---|---|---|
1435 | 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_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ | 0.7048 | 0.8677 | 0.8122 | [X:[], M:[1.0305, 0.9086, 0.8782, 1.0609, 1.0, 0.9391], q:[0.5457, 0.4239], qb:[0.5761, 0.5152], phi:[0.4848]] | [X:[], M:[[2], [-6], [-8], [4], [0], [-4]], q:[[3], [-5]], qb:[[5], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_3$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_1$, $ M_4$, $ \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$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_2M_3$, $ M_2^2$, $ M_3M_6$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_3M_5$, $ M_6^2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_2M_4$, $ M_1M_6$, $ M_5\phi_1^2$ | . | -1 | t^2.63 + t^2.73 + t^2.82 + t^2.91 + t^3. + t^3.09 + t^3.18 + t^4. + t^4.27 + t^4.36 + t^4.45 + t^4.55 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.91 + t^5.27 + t^5.36 + 2*t^5.45 + t^5.54 + 2*t^5.63 + 2*t^5.73 + 3*t^5.82 + t^5.91 - t^6. - t^6.46 + t^6.63 + t^6.72 + t^6.81 + 2*t^6.91 + 2*t^7. + 2*t^7.09 + 3*t^7.18 + 3*t^7.27 + 3*t^7.36 + 3*t^7.45 + 3*t^7.55 + 2*t^7.64 + 2*t^7.73 + t^7.82 + t^7.9 + t^7.91 + 2*t^7.99 + 2*t^8.09 + 2*t^8.18 + 3*t^8.27 + 3*t^8.36 + 4*t^8.45 + 3*t^8.54 + t^8.73 - t^8.82 - t^8.91 - t^4.45/y - t^7.09/y - t^7.18/y + t^7.73/y + t^7.82/y + t^8.36/y + t^8.45/y + (2*t^8.54)/y + (2*t^8.63)/y + (3*t^8.73)/y + (3*t^8.82)/y + (3*t^8.91)/y - t^4.45*y - t^7.09*y - t^7.18*y + t^7.73*y + t^7.82*y + t^8.36*y + t^8.45*y + 2*t^8.54*y + 2*t^8.63*y + 3*t^8.73*y + 3*t^8.82*y + 3*t^8.91*y | t^2.63/g1^8 + t^2.73/g1^6 + t^2.82/g1^4 + t^2.91/g1^2 + t^3. + g1^2*t^3.09 + g1^4*t^3.18 + t^4./g1^11 + t^4.27/g1^5 + t^4.36/g1^3 + t^4.45/g1 + g1*t^4.55 + g1^3*t^4.64 + 2*g1^5*t^4.73 + g1^7*t^4.82 + g1^9*t^4.91 + t^5.27/g1^16 + t^5.36/g1^14 + (2*t^5.45)/g1^12 + t^5.54/g1^10 + (2*t^5.63)/g1^8 + (2*t^5.73)/g1^6 + (3*t^5.82)/g1^4 + t^5.91/g1^2 - t^6. - g1^10*t^6.46 + t^6.63/g1^19 + t^6.72/g1^17 + t^6.81/g1^15 + (2*t^6.91)/g1^13 + (2*t^7.)/g1^11 + (2*t^7.09)/g1^9 + (3*t^7.18)/g1^7 + (3*t^7.27)/g1^5 + (3*t^7.36)/g1^3 + (3*t^7.45)/g1 + 3*g1*t^7.55 + 2*g1^3*t^7.64 + 2*g1^5*t^7.73 + g1^7*t^7.82 + t^7.9/g1^24 + g1^9*t^7.91 + (2*t^7.99)/g1^22 + (2*t^8.09)/g1^20 + (2*t^8.18)/g1^18 + (3*t^8.27)/g1^16 + (3*t^8.36)/g1^14 + (4*t^8.45)/g1^12 + (3*t^8.54)/g1^10 + t^8.73/g1^6 - t^8.82/g1^4 - t^8.91/g1^2 - t^4.45/(g1*y) - t^7.09/(g1^9*y) - t^7.18/(g1^7*y) + (g1^5*t^7.73)/y + (g1^7*t^7.82)/y + t^8.36/(g1^14*y) + t^8.45/(g1^12*y) + (2*t^8.54)/(g1^10*y) + (2*t^8.63)/(g1^8*y) + (3*t^8.73)/(g1^6*y) + (3*t^8.82)/(g1^4*y) + (3*t^8.91)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.09*y)/g1^9 - (t^7.18*y)/g1^7 + g1^5*t^7.73*y + g1^7*t^7.82*y + (t^8.36*y)/g1^14 + (t^8.45*y)/g1^12 + (2*t^8.54*y)/g1^10 + (2*t^8.63*y)/g1^8 + (3*t^8.73*y)/g1^6 + (3*t^8.82*y)/g1^4 + (3*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
2508 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_1M_7$ | 0.7078 | 0.8734 | 0.8103 | [X:[], M:[1.0335, 0.8995, 0.866, 1.067, 1.0, 0.933, 0.9665], q:[0.5503, 0.4162], qb:[0.5838, 0.5168], phi:[0.4832]] | t^2.6 + t^2.7 + t^2.8 + 2*t^2.9 + t^3. + t^3.2 + t^3.95 + t^4.25 + t^4.35 + t^4.45 + t^4.55 + t^4.65 + 2*t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.3 + 2*t^5.4 + 2*t^5.5 + 3*t^5.6 + 2*t^5.7 + 4*t^5.8 + t^5.9 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
2509 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_4M_7$ | 0.7109 | 0.8797 | 0.8082 | [X:[], M:[1.0363, 0.8911, 0.8549, 1.0726, 1.0, 0.9274, 0.9274], q:[0.5544, 0.4093], qb:[0.5907, 0.5181], phi:[0.4819]] | t^2.56 + t^2.67 + 2*t^2.78 + t^2.89 + t^3. + t^3.11 + t^3.9 + t^4.23 + t^4.34 + t^4.45 + t^4.55 + t^4.66 + 2*t^4.77 + t^4.88 + t^4.99 + t^5.13 + t^5.24 + 3*t^5.35 + 2*t^5.46 + 4*t^5.56 + 3*t^5.67 + 3*t^5.78 + t^5.89 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
2505 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_6M_7$ | 0.6997 | 0.8582 | 0.8153 | [X:[], M:[1.0243, 0.9271, 0.9028, 1.0486, 1.0, 0.9514, 1.0486], q:[0.5364, 0.4393], qb:[0.5607, 0.5121], phi:[0.4879]] | t^2.71 + t^2.78 + t^2.93 + t^3. + t^3.07 + 2*t^3.15 + t^4.1 + t^4.32 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + 2*t^4.68 + t^4.76 + t^4.83 + t^5.42 + t^5.49 + t^5.56 + t^5.71 + t^5.78 + 3*t^5.85 + t^5.93 - 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 |
---|---|---|---|---|---|---|---|---|---|
935 | 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_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7231 | 0.895 | 0.8079 | [X:[], M:[1.0717, 0.7848, 0.9379, 0.9187, 1.0, 0.8566], q:[0.4952, 0.4331], qb:[0.5669, 0.6482], phi:[0.4641]] | t^2.35 + t^2.57 + t^2.76 + t^2.78 + t^2.81 + t^3. + t^3.22 + t^3.99 + t^4.18 + t^4.36 + t^4.39 + t^4.58 + t^4.64 + t^4.71 + t^4.79 + t^4.82 + t^4.92 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.28 + t^5.33 + t^5.35 + t^5.38 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.78 + t^5.97 - 2*t^6. - t^4.39/y - t^4.39*y | detail |