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 |
---|---|---|---|---|---|---|---|---|---|
1818 | 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$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ | 0.6064 | 0.7789 | 0.7785 | [X:[], M:[0.9868, 1.0396, 1.0132, 0.7335], q:[0.7467, 0.2665], qb:[0.4934, 0.467], phi:[0.5066]] | [X:[], M:[[4], [-12], [-4], [5]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -2 | 2*t^2.2 + t^2.28 + 2*t^3.04 + 2*t^3.12 + t^3.64 + 2*t^3.72 + t^4.32 + 4*t^4.4 + 3*t^4.48 + t^4.56 + 4*t^5.24 + 5*t^5.32 + t^5.4 + 2*t^5.84 + 3*t^5.92 - 2*t^6. + 4*t^6.16 + 3*t^6.24 + 2*t^6.52 + 5*t^6.6 + 4*t^6.68 + 5*t^6.76 + 2*t^6.84 - t^6.92 + 2*t^7.36 + 7*t^7.44 + 7*t^7.52 + 3*t^7.6 + t^7.68 + t^7.96 + 5*t^8.04 + 3*t^8.12 - 6*t^8.2 - 2*t^8.28 + 6*t^8.36 + 6*t^8.44 + t^8.52 + t^8.64 + 4*t^8.72 + 7*t^8.8 + 5*t^8.88 + 6*t^8.96 - t^4.52/y - t^6.72/y + (2*t^7.4)/y + (3*t^7.48)/y - t^7.56/y - t^7.64/y + (4*t^8.24)/y + (7*t^8.32)/y + (2*t^8.4)/y + (2*t^8.84)/y + (4*t^8.92)/y - t^4.52*y - t^6.72*y + 2*t^7.4*y + 3*t^7.48*y - t^7.56*y - t^7.64*y + 4*t^8.24*y + 7*t^8.32*y + 2*t^8.4*y + 2*t^8.84*y + 4*t^8.92*y | 2*g1^5*t^2.2 + t^2.28/g1^3 + (2*t^3.04)/g1^4 + (2*t^3.12)/g1^12 + g1^11*t^3.64 + 2*g1^3*t^3.72 + g1^18*t^4.32 + 4*g1^10*t^4.4 + 3*g1^2*t^4.48 + t^4.56/g1^6 + 4*g1*t^5.24 + (5*t^5.32)/g1^7 + t^5.4/g1^15 + 2*g1^16*t^5.84 + 3*g1^8*t^5.92 - 2*t^6. + (4*t^6.16)/g1^16 + (3*t^6.24)/g1^24 + 2*g1^23*t^6.52 + 5*g1^15*t^6.6 + 4*g1^7*t^6.68 + (5*t^6.76)/g1 + (2*t^6.84)/g1^9 - t^6.92/g1^17 + 2*g1^14*t^7.36 + 7*g1^6*t^7.44 + (7*t^7.52)/g1^2 + (3*t^7.6)/g1^10 + t^7.68/g1^18 + g1^29*t^7.96 + 5*g1^21*t^8.04 + 3*g1^13*t^8.12 - 6*g1^5*t^8.2 - (2*t^8.28)/g1^3 + (6*t^8.36)/g1^11 + (6*t^8.44)/g1^19 + t^8.52/g1^27 + g1^36*t^8.64 + 4*g1^28*t^8.72 + 7*g1^20*t^8.8 + 5*g1^12*t^8.88 + 6*g1^4*t^8.96 - t^4.52/(g1^2*y) - (g1^3*t^6.72)/y + (2*g1^10*t^7.4)/y + (3*g1^2*t^7.48)/y - t^7.56/(g1^6*y) - t^7.64/(g1^14*y) + (4*g1*t^8.24)/y + (7*t^8.32)/(g1^7*y) + (2*t^8.4)/(g1^15*y) + (2*g1^16*t^8.84)/y + (4*g1^8*t^8.92)/y - (t^4.52*y)/g1^2 - g1^3*t^6.72*y + 2*g1^10*t^7.4*y + 3*g1^2*t^7.48*y - (t^7.56*y)/g1^6 - (t^7.64*y)/g1^14 + 4*g1*t^8.24*y + (7*t^8.32*y)/g1^7 + (2*t^8.4*y)/g1^15 + 2*g1^16*t^8.84*y + 4*g1^8*t^8.92*y |
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 |
---|---|---|---|---|---|---|---|---|
2836 | $M_1q_1q_2$ + $ 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$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ | 0.6243 | 0.8111 | 0.7697 | [X:[], M:[0.9947, 1.0159, 1.0053, 0.7434, 0.7646], q:[0.7487, 0.2566], qb:[0.4974, 0.4868], phi:[0.5026]] | 2*t^2.23 + t^2.26 + t^2.29 + 2*t^3.02 + 2*t^3.05 + 2*t^3.74 + t^4.43 + 4*t^4.46 + 3*t^4.49 + 3*t^4.52 + t^4.56 + t^4.59 + 4*t^5.25 + 5*t^5.28 + 3*t^5.31 + 2*t^5.34 + 2*t^5.97 - 2*t^6. - t^4.51/y - t^4.51*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 |
---|---|---|---|---|---|---|---|---|---|
344 | 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$ + $ 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 |