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 |
---|---|---|---|---|---|---|---|---|---|
215 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ | 0.587 | 0.7429 | 0.7902 | [X:[], M:[0.9864, 1.0409, 1.0136], q:[0.7466, 0.267], qb:[0.4795, 0.4795], phi:[0.5068]] | [X:[], M:[[4, 4], [-12, -12], [-4, -4]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -2 | 2*t^2.24 + 2*t^3.04 + 2*t^3.12 + 2*t^3.68 + 2*t^3.76 + 3*t^4.4 + 3*t^4.48 + 4*t^5.28 + 2*t^5.36 + 3*t^5.92 - 2*t^6. + t^6.08 + 4*t^6.16 + 3*t^6.25 + 2*t^6.64 + 4*t^6.72 + 4*t^6.8 + 2*t^6.88 + 5*t^7.44 + 7*t^7.52 + 2*t^7.6 + 4*t^8.08 + 4*t^8.16 - 6*t^8.24 + 2*t^8.32 + 4*t^8.4 + 2*t^8.49 + 5*t^8.8 + t^8.88 + 4*t^8.96 - t^4.52/y + t^7.4/y + (2*t^7.48)/y - t^7.56/y - t^7.64/y + (4*t^8.28)/y + (4*t^8.36)/y + (4*t^8.92)/y - t^4.52*y + t^7.4*y + 2*t^7.48*y - t^7.56*y - t^7.64*y + 4*t^8.28*y + 4*t^8.36*y + 4*t^8.92*y | (g1^7*t^2.24)/g2^5 + (g2^7*t^2.24)/g1^5 + (2*t^3.04)/(g1^4*g2^4) + (2*t^3.12)/(g1^12*g2^12) + g1^13*g2*t^3.68 + g1*g2^13*t^3.68 + (g1^5*t^3.76)/g2^7 + (g2^5*t^3.76)/g1^7 + (g1^22*t^4.4)/g2^2 + g1^10*g2^10*t^4.4 + (g2^22*t^4.4)/g1^2 + (g1^14*t^4.48)/g2^10 + g1^2*g2^2*t^4.48 + (g2^14*t^4.48)/g1^10 + (2*g1^3*t^5.28)/g2^9 + (2*g2^3*t^5.28)/g1^9 + t^5.36/(g1^5*g2^17) + t^5.36/(g1^17*g2^5) + (g1^20*t^5.92)/g2^4 + g1^8*g2^8*t^5.92 + (g2^20*t^5.92)/g1^4 - 2*t^6. + t^6.08/(g1^8*g2^8) + (4*t^6.16)/(g1^16*g2^16) + (3*t^6.25)/(g1^24*g2^24) + (g1^29*t^6.64)/g2^7 + (g2^29*t^6.64)/g1^7 + (g1^21*t^6.72)/g2^15 + (g1^9*t^6.72)/g2^3 + (g2^9*t^6.72)/g1^3 + (g2^21*t^6.72)/g1^15 + (2*g1*t^6.8)/g2^11 + (2*g2*t^6.8)/g1^11 + t^6.88/(g1^7*g2^19) + t^6.88/(g1^19*g2^7) + (2*g1^18*t^7.44)/g2^6 + g1^6*g2^6*t^7.44 + (2*g2^18*t^7.44)/g1^6 + (3*g1^10*t^7.52)/g2^14 + t^7.52/(g1^2*g2^2) + (3*g2^10*t^7.52)/g1^14 + (g1^2*t^7.6)/g2^22 + (g2^2*t^7.6)/g1^22 + (g1^35*t^8.08)/g2 + g1^23*g2^11*t^8.08 + g1^11*g2^23*t^8.08 + (g2^35*t^8.08)/g1 + (2*g1^27*t^8.16)/g2^9 + (2*g2^27*t^8.16)/g1^9 - (3*g1^7*t^8.24)/g2^5 - (3*g2^7*t^8.24)/g1^5 + t^8.32/(g1*g2^13) + t^8.32/(g1^13*g2) + (2*t^8.4)/(g1^9*g2^21) + (2*t^8.4)/(g1^21*g2^9) + t^8.49/(g1^17*g2^29) + t^8.49/(g1^29*g2^17) + (g1^44*t^8.8)/g2^4 + g1^32*g2^8*t^8.8 + g1^20*g2^20*t^8.8 + g1^8*g2^32*t^8.8 + (g2^44*t^8.8)/g1^4 + (g1^36*t^8.88)/g2^12 - g1^12*g2^12*t^8.88 + (g2^36*t^8.88)/g1^12 + (g1^28*t^8.96)/g2^20 + (g1^16*t^8.96)/g2^8 + (g2^16*t^8.96)/g1^8 + (g2^28*t^8.96)/g1^20 - t^4.52/(g1^2*g2^2*y) + (g1^10*g2^10*t^7.4)/y + (2*g1^2*g2^2*t^7.48)/y - t^7.56/(g1^6*g2^6*y) - t^7.64/(g1^14*g2^14*y) + (2*g1^3*t^8.28)/(g2^9*y) + (2*g2^3*t^8.28)/(g1^9*y) + (2*t^8.36)/(g1^5*g2^17*y) + (2*t^8.36)/(g1^17*g2^5*y) + (g1^20*t^8.92)/(g2^4*y) + (2*g1^8*g2^8*t^8.92)/y + (g2^20*t^8.92)/(g1^4*y) - (t^4.52*y)/(g1^2*g2^2) + g1^10*g2^10*t^7.4*y + 2*g1^2*g2^2*t^7.48*y - (t^7.56*y)/(g1^6*g2^6) - (t^7.64*y)/(g1^14*g2^14) + (2*g1^3*t^8.28*y)/g2^9 + (2*g2^3*t^8.28*y)/g1^9 + (2*t^8.36*y)/(g1^5*g2^17) + (2*t^8.36*y)/(g1^17*g2^5) + (g1^20*t^8.92*y)/g2^4 + 2*g1^8*g2^8*t^8.92*y + (g2^20*t^8.92*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
343 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ | 0.5939 | 0.7557 | 0.7859 | [X:[], M:[0.9644, 1.1068, 1.0356, 0.8932], q:[0.7411, 0.2945], qb:[0.4466, 0.4466], phi:[0.5178]] | 2*t^2.22 + t^2.68 + 2*t^3.11 + t^3.32 + 2*t^3.56 + 2*t^3.78 + 3*t^4.23 + 3*t^4.45 + 2*t^4.9 + 4*t^5.33 + t^5.36 + 5*t^5.79 - t^6. - t^4.55/y - t^4.55*y | detail | |
344 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6064 | 0.7787 | 0.7788 | [X:[], M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]] | 2*t^2.21 + t^2.27 + 2*t^3.04 + 2*t^3.13 + t^3.64 + t^3.7 + t^3.73 + t^4.33 + t^4.39 + 3*t^4.42 + t^4.45 + 2*t^4.48 + t^4.54 + 4*t^5.25 + 2*t^5.31 + 3*t^5.34 + t^5.4 + 2*t^5.85 + 2*t^5.91 + t^5.94 + t^5.97 - 3*t^6. - t^4.52/y - t^4.52*y | detail | |
1731 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ | 0.6056 | 0.7771 | 0.7792 | [X:[], M:[0.9925, 1.0225, 1.0075, 0.7511], q:[0.7481, 0.2594], qb:[0.5008, 0.4768], phi:[0.5037]] | t^2.21 + t^2.25 + t^2.28 + 2*t^3.02 + 2*t^3.07 + t^3.67 + t^3.72 + t^3.79 + t^4.37 + t^4.42 + t^4.44 + t^4.46 + t^4.49 + t^4.51 + t^4.52 + t^4.53 + t^4.56 + 2*t^5.23 + 3*t^5.28 + 2*t^5.3 + 2*t^5.32 + t^5.35 + t^5.88 + t^5.93 + t^5.97 - 2*t^6. - t^4.51/y - t^4.51*y | detail | |
1732 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ q_1q_2\tilde{q}_1^2$ | 0.5868 | 0.7427 | 0.7901 | [X:[], M:[0.9895, 1.0315, 1.0105], q:[0.7474, 0.2631], qb:[0.4947, 0.4737], phi:[0.5053]] | t^2.21 + t^2.27 + 2*t^3.03 + 2*t^3.09 + t^3.66 + 2*t^3.73 + t^3.79 + t^4.36 + 2*t^4.42 + 2*t^4.48 + t^4.55 + 2*t^5.24 + 3*t^5.31 + t^5.37 + t^5.87 + t^5.94 - t^6. - t^4.52/y - t^4.52*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 |
---|---|---|---|---|---|---|---|---|---|
131 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ | 0.5887 | 0.7456 | 0.7895 | [X:[], M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] | 2*t^2.23 + t^2.94 + t^3.06 + 2*t^3.19 + 2*t^3.64 + 2*t^3.77 + 3*t^4.34 + 3*t^4.47 + 2*t^5.17 + 2*t^5.3 + 2*t^5.43 + 4*t^5.87 - t^6. - t^4.53/y - t^4.53*y | detail |