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 |
---|---|---|---|---|---|---|---|---|---|
47125 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_1M_2$ | 0.7089 | 0.8701 | 0.8148 | [X:[], M:[1.0, 1.0, 0.8961, 0.8961, 1.052, 0.948], q:[0.4221, 0.5779], qb:[0.5779, 0.526], phi:[0.474]] | [X:[], M:[[1, -3], [-1, 3], [-1, -1], [1, -7], [0, 2], [0, -2]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_1M_3$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_2M_3$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_2M_6$, $ M_2\phi_1^2$ | $M_1^2$, $ M_2^2$ | -3 | 2*t^2.69 + 2*t^2.84 + 2*t^3. + t^3.47 + t^3.95 + t^4.27 + 2*t^4.42 + t^4.58 + 2*t^4.73 + 3*t^4.89 + 3*t^5.38 + 2*t^5.53 + 6*t^5.69 + 2*t^5.84 - 3*t^6. + 2*t^6.64 + 2*t^6.8 + t^6.94 + 2*t^6.95 + 4*t^7.11 + 4*t^7.27 + 4*t^7.42 + 6*t^7.58 + 4*t^7.73 + 2*t^7.89 + t^7.91 - 3*t^8.05 + 4*t^8.06 + 3*t^8.22 + 3*t^8.36 + 8*t^8.38 + 6*t^8.53 - 2*t^8.69 - 3*t^8.84 - t^4.42/y - (2*t^7.11)/y - t^7.27/y + t^7.58/y + (2*t^7.73)/y + t^8.38/y + (4*t^8.53)/y + (5*t^8.69)/y + (4*t^8.84)/y - t^4.42*y - 2*t^7.11*y - t^7.27*y + t^7.58*y + 2*t^7.73*y + t^8.38*y + 4*t^8.53*y + 5*t^8.69*y + 4*t^8.84*y | (g1*t^2.69)/g2^7 + t^2.69/(g1*g2) + (2*t^2.84)/g2^2 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + g2^6*t^3.47 + t^3.95/g2^7 + t^4.27/g2^3 + (g1*t^4.42)/g2^4 + (g2^2*t^4.42)/g1 + g2*t^4.58 + g1*t^4.73 + (g2^6*t^4.73)/g1 + (g1^2*t^4.89)/g2 + g2^5*t^4.89 + (g2^11*t^4.89)/g1^2 + (g1^2*t^5.38)/g2^14 + t^5.38/g2^8 + t^5.38/(g1^2*g2^2) + (g1*t^5.53)/g2^9 + t^5.53/(g1*g2^3) + (g1^2*t^5.69)/g2^10 + (4*t^5.69)/g2^4 + (g2^2*t^5.69)/g1^2 + (g1*t^5.84)/g2^5 + (g2*t^5.84)/g1 - 3*t^6. + (g1*t^6.64)/g2^14 + t^6.64/(g1*g2^8) + (2*t^6.8)/g2^9 + g2^12*t^6.94 + (g1*t^6.95)/g2^10 + t^6.95/(g1*g2^4) + (g1^2*t^7.11)/g2^11 + (2*t^7.11)/g2^5 + (g2*t^7.11)/g1^2 + (2*t^7.27)/g1 + (2*g1*t^7.27)/g2^6 + (g1^2*t^7.42)/g2^7 + (2*t^7.42)/g2 + (g2^5*t^7.42)/g1^2 + (g1^3*t^7.58)/g2^8 + (2*g1*t^7.58)/g2^2 + (2*g2^4*t^7.58)/g1 + (g2^10*t^7.58)/g1^3 + (2*g1^2*t^7.73)/g2^3 + (2*g2^9*t^7.73)/g1^2 + (g1^3*t^7.89)/g2^4 + (g2^14*t^7.89)/g1^3 + t^7.91/g2^14 - g1^2*g2*t^8.05 - g2^7*t^8.05 - (g2^13*t^8.05)/g1^2 + (g1^3*t^8.06)/g2^21 + (g1*t^8.06)/g2^15 + t^8.06/(g1*g2^9) + t^8.06/(g1^3*g2^3) + (g1^2*t^8.22)/g2^16 + t^8.22/g2^10 + t^8.22/(g1^2*g2^4) + g1^2*g2^5*t^8.36 + g2^11*t^8.36 + (g2^17*t^8.36)/g1^2 + (g1^3*t^8.38)/g2^17 + (3*g1*t^8.38)/g2^11 + (3*t^8.38)/(g1*g2^5) + (g2*t^8.38)/g1^3 + t^8.53/g1^2 + (g1^2*t^8.53)/g2^12 + (4*t^8.53)/g2^6 - (g1*t^8.69)/g2^7 - t^8.69/(g1*g2) + (g1^2*t^8.84)/g2^8 - (5*t^8.84)/g2^2 + (g2^4*t^8.84)/g1^2 - t^4.42/(g2*y) - (g1*t^7.11)/(g2^8*y) - t^7.11/(g1*g2^2*y) - t^7.27/(g2^3*y) + (g2*t^7.58)/y + (g1*t^7.73)/y + (g2^6*t^7.73)/(g1*y) + t^8.38/(g2^8*y) + (2*g1*t^8.53)/(g2^9*y) + (2*t^8.53)/(g1*g2^3*y) + (g1^2*t^8.69)/(g2^10*y) + (3*t^8.69)/(g2^4*y) + (g2^2*t^8.69)/(g1^2*y) + (2*g1*t^8.84)/(g2^5*y) + (2*g2*t^8.84)/(g1*y) - (t^4.42*y)/g2 - (g1*t^7.11*y)/g2^8 - (t^7.11*y)/(g1*g2^2) - (t^7.27*y)/g2^3 + g2*t^7.58*y + g1*t^7.73*y + (g2^6*t^7.73*y)/g1 + (t^8.38*y)/g2^8 + (2*g1*t^8.53*y)/g2^9 + (2*t^8.53*y)/(g1*g2^3) + (g1^2*t^8.69*y)/g2^10 + (3*t^8.69*y)/g2^4 + (g2^2*t^8.69*y)/g1^2 + (2*g1*t^8.84*y)/g2^5 + (2*g2*t^8.84*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
52900 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_1M_2$ + $ M_3\phi_1^2$ | 0.6967 | 0.8544 | 0.8154 | [X:[], M:[0.9525, 1.0475, 1.0158, 0.9209, 1.0158, 0.9842], q:[0.4763, 0.5712], qb:[0.4763, 0.5079], phi:[0.4921]] | t^2.76 + t^2.86 + 2*t^2.95 + t^3.05 + 2*t^3.14 + 3*t^4.33 + 2*t^4.43 + t^4.52 + 2*t^4.62 + t^4.71 + t^4.9 + t^5.53 + t^5.62 + t^5.72 + 2*t^5.81 + 4*t^5.91 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
50976 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_1M_2$ + $ M_3^2$ | 0.7001 | 0.8588 | 0.8152 | [X:[], M:[0.9479, 1.0521, 1.0, 0.8957, 1.0261, 0.9739], q:[0.4609, 0.5912], qb:[0.487, 0.513], phi:[0.487]] | t^2.69 + t^2.84 + 2*t^2.92 + t^3. + t^3.16 + t^3.23 + t^4.23 + t^4.3 + 2*t^4.38 + t^4.46 + t^4.54 + t^4.62 + t^4.7 + t^4.77 + t^5.01 + t^5.37 + t^5.53 + t^5.61 + t^5.69 + t^5.77 + 4*t^5.84 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
55470 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_1M_2$ + $ M_7\phi_1q_1^2$ | 0.7297 | 0.9109 | 0.8011 | [X:[], M:[1.0, 1.0, 0.899, 0.899, 1.0505, 0.9495, 0.6767], q:[0.4243, 0.5757], qb:[0.5757, 0.5252], phi:[0.4748]] | t^2.03 + 2*t^2.7 + 2*t^2.85 + 2*t^3. + t^3.45 + t^4.06 + t^4.27 + 2*t^4.42 + t^4.58 + 4*t^4.73 + 5*t^4.88 + 2*t^5.03 + 3*t^5.39 + t^5.48 + 2*t^5.55 + 6*t^5.7 + 2*t^5.85 - 3*t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
46615 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ | 0.7171 | 0.8807 | 0.8142 | [X:[], M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.4607, 0.6179], qb:[0.6179, 0.4607], phi:[0.4607]] | 6*t^2.76 + t^3.71 + 3*t^4.15 + 4*t^4.62 + 3*t^5.09 + 17*t^5.53 - 8*t^6. - t^4.38/y - t^4.38*y | detail |