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 |
---|---|---|---|---|---|---|---|---|---|
48229 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_5M_6$ | 0.6987 | 0.854 | 0.8182 | [X:[], M:[1.0329, 1.0279, 0.9671, 0.9112, 0.9721, 1.0279], q:[0.4556, 0.5115], qb:[0.5165, 0.5773], phi:[0.4848]] | [X:[], M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [-12, 4]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ \phi_1^2$, $ M_2$, $ M_6$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_4M_6$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_3$, $ M_3M_6$ | . | t^2.73 + t^2.9 + t^2.91 + 2*t^3.08 + t^3.1 + t^3.28 + t^4.19 + t^4.36 + t^4.37 + t^4.52 + t^4.54 + 2*t^4.55 + t^4.72 + t^4.74 + t^4.92 + t^5.47 + t^5.64 + t^5.81 + t^5.82 + 3*t^5.99 - 3*t^6. + t^6.01 + 2*t^6.17 + t^6.19 + t^6.37 + t^6.38 + t^6.56 + t^6.92 + t^7.09 + 2*t^7.1 + 2*t^7.26 + t^7.27 + 2*t^7.29 + t^7.42 + t^7.43 + t^7.44 + t^7.45 + t^7.46 + t^7.47 + t^7.61 + 2*t^7.62 + t^7.64 + 2*t^7.65 + 2*t^7.8 - t^7.81 + 2*t^7.82 + 2*t^7.83 + 2*t^8. - t^8.01 + 2*t^8.02 + 2*t^8.2 + 2*t^8.38 + t^8.54 + t^8.55 + t^8.56 + t^8.71 - 2*t^8.73 + 2*t^8.74 + t^8.88 + t^8.89 - t^8.9 - t^8.91 - t^8.92 - t^4.45/y - t^7.19/y - t^7.36/y + t^7.37/y - t^7.54/y + t^7.55/y + t^7.72/y + t^8.63/y + t^8.64/y + t^8.81/y + (2*t^8.82)/y + t^8.83/y + (4*t^8.99)/y - t^4.45*y - t^7.19*y - t^7.36*y + t^7.37*y - t^7.54*y + t^7.55*y + t^7.72*y + t^8.63*y + t^8.64*y + t^8.81*y + 2*t^8.82*y + t^8.83*y + 4*t^8.99*y | (g1^16*t^2.73)/g2^8 + t^2.9/g1^8 + (g1^2*t^2.91)/g2^2 + (2*g2^4*t^3.08)/g1^12 + g1^8*t^3.1 + g1^4*g2^4*t^3.28 + (g1^17*t^4.19)/g2^9 + t^4.36/(g1^7*g2) + (g1^13*t^4.37)/g2^5 + (g2^7*t^4.52)/g1^31 + (g2^3*t^4.54)/g1^11 + (2*g1^9*t^4.55)/g2 + (g2^7*t^4.72)/g1^15 + g1^5*g2^3*t^4.74 + g1*g2^7*t^4.92 + (g1^32*t^5.47)/g2^16 + (g1^18*t^5.64)/g2^10 + t^5.81/(g1^6*g2^2) + (g1^4*t^5.82)/g2^4 + (2*g2^2*t^5.99)/g1^10 + (g2^4*t^5.99)/g1^20 - 3*t^6. + (g1^10*t^6.01)/g2^2 + (2*g2^8*t^6.17)/g1^24 + g1^6*g2^2*t^6.19 + (g2^8*t^6.37)/g1^8 + g1^12*g2^4*t^6.38 + g1^8*g2^8*t^6.56 + (g1^33*t^6.92)/g2^17 + (g1^9*t^7.09)/g2^9 + (g1^29*t^7.1)/g2^13 + (g1^19*t^7.1)/g2^11 + t^7.26/(g1^5*g2^3) + t^7.26/(g1^15*g2) + (g1^5*t^7.27)/g2^5 + (2*g1^25*t^7.29)/g2^9 + (g2^7*t^7.42)/g1^39 + (g2^5*t^7.43)/g1^29 + (g2^3*t^7.44)/g1^19 + (g1*t^7.45)/g2 + (g1^11*t^7.46)/g2^3 + (g1^21*t^7.47)/g2^5 - (g2^9*t^7.61)/g1^33 + (2*g2^11*t^7.61)/g1^43 + (2*g2^7*t^7.62)/g1^23 - g1^7*g2*t^7.64 + (2*g2^3*t^7.64)/g1^3 + (2*g1^17*t^7.65)/g2 + (2*g2^11*t^7.8)/g1^27 - (g2^9*t^7.81)/g1^17 + (2*g2^7*t^7.82)/g1^7 + 2*g1^13*g2^3*t^7.83 + (2*g2^11*t^8.)/g1^11 - (g2^9*t^8.01)/g1 + 2*g1^9*g2^7*t^8.02 + (g1^48*t^8.2)/g2^24 + g1^5*g2^11*t^8.2 + (2*g1^34*t^8.38)/g2^18 + (g1^10*t^8.54)/g2^10 + (g1^20*t^8.55)/g2^12 + (g1^30*t^8.56)/g2^14 + t^8.71/(g1^14*g2^2) - (4*g1^16*t^8.73)/g2^8 + (2*g1^6*t^8.73)/g2^6 + (2*g1^26*t^8.74)/g2^10 + (g2^6*t^8.88)/g1^38 + (2*g2^2*t^8.89)/g1^18 - (g2^4*t^8.89)/g1^28 - t^8.9/g1^8 - (g1^2*t^8.91)/g2^2 + (2*g1^22*t^8.92)/g2^6 - (3*g1^12*t^8.92)/g2^4 - (g1*t^4.45)/(g2*y) - (g1^17*t^7.19)/(g2^9*y) - (g1^3*t^7.36)/(g2^3*y) + (g1^13*t^7.37)/(g2^5*y) - (g2^3*t^7.54)/(g1^11*y) + (g2*t^7.55)/(g1*y) + (g2^7*t^7.72)/(g1^15*y) + (g1^8*t^8.63)/(g2^8*y) + (g1^18*t^8.64)/(g2^10*y) + t^8.81/(g1^6*g2^2*y) + (2*g1^4*t^8.82)/(g2^4*y) + (g1^24*t^8.83)/(g2^8*y) + (2*g2^2*t^8.99)/(g1^10*y) + (2*g2^4*t^8.99)/(g1^20*y) - (g1*t^4.45*y)/g2 - (g1^17*t^7.19*y)/g2^9 - (g1^3*t^7.36*y)/g2^3 + (g1^13*t^7.37*y)/g2^5 - (g2^3*t^7.54*y)/g1^11 + (g2*t^7.55*y)/g1 + (g2^7*t^7.72*y)/g1^15 + (g1^8*t^8.63*y)/g2^8 + (g1^18*t^8.64*y)/g2^10 + (t^8.81*y)/(g1^6*g2^2) + (2*g1^4*t^8.82*y)/g2^4 + (g1^24*t^8.83*y)/g2^8 + (2*g2^2*t^8.99*y)/g1^10 + (2*g2^4*t^8.99*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
54954 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.5827 | 0.7345 | 0.7934 | [X:[], M:[1.2845, 1.0027, 0.7155, 0.71, 0.9973, 1.0027], q:[0.355, 0.3605], qb:[0.6423, 0.9296], phi:[0.4282]] | t^2.13 + t^2.15 + t^2.57 + 2*t^3.01 + t^3.41 + t^3.43 + t^3.45 + t^3.85 + t^4.26 + t^4.28 + t^4.29 + t^4.7 + 2*t^4.72 + 3*t^5.14 + 2*t^5.15 + t^5.54 + t^5.56 + 3*t^5.58 + t^5.59 + t^5.98 - t^6. - t^4.28/y - t^4.28*y | detail | |
50873 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ | 0.661 | 0.8142 | 0.8118 | [X:[], M:[1.1599, 1.0344, 0.8401, 0.7713, 0.9656, 1.0344], q:[0.3856, 0.4544], qb:[0.58, 0.7743], phi:[0.4514]] | t^2.31 + t^2.52 + t^2.71 + 2*t^3.1 + t^3.48 + t^3.67 + t^3.87 + t^4.06 + t^4.08 + t^4.25 + t^4.46 + t^4.63 + 2*t^4.83 + t^5.02 + t^5.04 + t^5.23 + 2*t^5.42 + t^5.62 + 2*t^5.81 + t^5.98 - 2*t^6. - t^4.35/y - t^4.35*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 |
---|---|---|---|---|---|---|---|---|---|
46737 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ | 0.7024 | 0.8607 | 0.8161 | [X:[], M:[1.02, 1.0504, 0.98, 0.8793, 0.9496], q:[0.4396, 0.5404], qb:[0.51, 0.5803], phi:[0.4824]] | t^2.64 + t^2.85 + t^2.89 + t^2.94 + t^3.06 + t^3.15 + t^3.27 + t^4.09 + t^4.3 + t^4.39 + 2*t^4.51 + t^4.6 + t^4.69 + t^4.72 + t^4.81 + t^4.93 + t^5.28 + t^5.49 + t^5.53 + t^5.7 + t^5.74 + t^5.79 + t^5.83 + t^5.91 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |