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 |
---|---|---|---|---|---|---|---|---|---|
833 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ | 0.7134 | 0.8733 | 0.8168 | [X:[], M:[0.86, 1.07, 1.0, 1.0244, 0.8356, 0.9756], q:[0.5455, 0.5944], qb:[0.43, 0.57], phi:[0.465]] | [X:[], M:[[0, -4], [0, 2], [0, 0], [1, -2], [-1, -2], [-1, 2]], q:[[-1, 4], [1, 0]], qb:[[0, -2], [0, 2]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_1$, $ M_6$, $ M_3$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_1M_5$, $ M_1^2$, $ M_5M_6$, $ M_3M_5$, $ M_1M_6$, $ M_1M_3$, $ M_4M_5$, $ M_2M_5$, $ M_1M_2$, $ M_6^2$, $ M_5q_1\tilde{q}_2$ | . | -2 | t^2.51 + t^2.58 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.35 + t^3.98 + t^4.32 + t^4.4 + t^4.47 + t^4.67 + t^4.74 + 2*t^4.81 + t^4.89 + t^4.96 + t^5.01 + t^5.09 + t^5.16 + t^5.43 + t^5.51 + t^5.58 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. - t^6.07 + t^6.14 + t^6.21 + t^6.27 + t^6.28 + t^6.48 - t^6.49 + 2*t^6.56 + t^6.69 + t^6.83 + 2*t^6.9 + 2*t^6.98 + t^7.05 + t^7.18 + 2*t^7.25 + 3*t^7.32 + 2*t^7.4 + t^7.47 + t^7.52 + t^7.54 + 2*t^7.59 + 3*t^7.67 + 3*t^7.74 + t^7.81 + t^7.89 + t^7.94 + t^7.95 + t^7.96 + 2*t^8.01 + t^8.03 + 2*t^8.09 + t^8.16 + t^8.22 + 2*t^8.3 + t^8.36 + 2*t^8.37 + t^8.44 - 3*t^8.51 - 4*t^8.58 + 2*t^8.64 - 2*t^8.65 + 2*t^8.72 + t^8.78 + 3*t^8.79 - t^8.85 + t^8.86 - 4*t^8.93 + t^8.94 + 2*t^8.99 - t^4.4/y - t^6.9/y - t^6.98/y + t^7.81/y + t^7.89/y + t^8.09/y + t^8.43/y + (2*t^8.51)/y + (2*t^8.58)/y + t^8.65/y + t^8.72/y + t^8.79/y + t^8.85/y + (2*t^8.93)/y - t^4.4*y - t^6.9*y - t^6.98*y + t^7.81*y + t^7.89*y + t^8.09*y + t^8.43*y + 2*t^8.51*y + 2*t^8.58*y + t^8.65*y + t^8.72*y + t^8.79*y + t^8.85*y + 2*t^8.93*y | t^2.51/(g1*g2^2) + t^2.58/g2^4 + (g2^2*t^2.93)/g1 + t^3. + (g1*t^3.07)/g2^2 + g2^2*t^3.21 + (g2^6*t^3.35)/g1 + t^3.98/g2^5 + (g2*t^4.32)/g1 + t^4.4/g2 + (g1*t^4.47)/g2^3 + (g2^7*t^4.67)/g1^2 + (g2^5*t^4.74)/g1 + 2*g2^3*t^4.81 + g1*g2*t^4.89 + (g1^2*t^4.96)/g2 + t^5.01/(g1^2*g2^4) + t^5.09/(g1*g2^6) + t^5.16/g2^8 + t^5.43/g1^2 + t^5.51/(g1*g2^2) + t^5.58/g2^4 + t^5.72/g1 + t^5.79/g2^2 + (g2^4*t^5.85)/g1^2 - 2*t^6. - (g1*t^6.07)/g2^2 + (g2^4*t^6.14)/g1 + g2^2*t^6.21 + (g2^8*t^6.27)/g1^2 + g1*t^6.28 + t^6.48/(g1*g2^7) - g1*g2^2*t^6.49 + t^6.56/g2^9 + (g2^8*t^6.56)/g1 + (g2^12*t^6.69)/g1^2 + t^6.83/(g1^2*g2) + (2*t^6.9)/(g1*g2^3) + (2*t^6.98)/g2^5 + (g1*t^7.05)/g2^7 + (g2^5*t^7.18)/g1^3 + (2*g2^3*t^7.25)/g1^2 + (3*g2*t^7.32)/g1 + (2*t^7.4)/g2 + (g1*t^7.47)/g2^3 + t^7.52/(g1^3*g2^6) + (g1^2*t^7.54)/g2^5 + t^7.59/(g1^2*g2^8) + (g2^9*t^7.59)/g1^3 + t^7.67/(g1*g2^10) + (2*g2^7*t^7.67)/g1^2 + t^7.74/g2^12 + (2*g2^5*t^7.74)/g1 + g2^3*t^7.81 + g1*g2*t^7.89 + t^7.94/(g1^3*g2^2) + t^7.95/g2^10 + (g1^2*t^7.96)/g2 + t^8.01/(g1^2*g2^4) + (g2^13*t^8.01)/g1^3 + (g1^3*t^8.03)/g2^3 + t^8.09/(g1*g2^6) + (g2^11*t^8.09)/g1^2 + (g2^9*t^8.16)/g1 + t^8.22/(g1^2*g2^2) + (2*t^8.3)/(g1*g2^4) + (g2^2*t^8.36)/g1^3 + (2*t^8.37)/g2^6 + (g1*t^8.44)/g2^8 - (3*t^8.51)/(g1*g2^2) - (4*t^8.58)/g2^4 + (2*g2^2*t^8.64)/g1^2 - (2*g1*t^8.65)/g2^6 + (2*t^8.72)/g1 + (g2^6*t^8.78)/g1^3 + (3*t^8.79)/g2^2 - (g2^4*t^8.85)/g1^2 + (g1*t^8.86)/g2^4 - (4*g2^2*t^8.93)/g1 + (g1^2*t^8.94)/g2^6 + t^8.99/(g1^2*g2^9) + (g2^8*t^8.99)/g1^3 - t^4.4/(g2*y) - t^6.9/(g1*g2^3*y) - t^6.98/(g2^5*y) + (g2^3*t^7.81)/y + (g1*g2*t^7.89)/y + t^8.09/(g1*g2^6*y) + t^8.43/(g1^2*y) + (2*t^8.51)/(g1*g2^2*y) + (2*t^8.58)/(g2^4*y) + (g1*t^8.65)/(g2^6*y) + t^8.72/(g1*y) + t^8.79/(g2^2*y) + (g2^4*t^8.85)/(g1^2*y) + (2*g2^2*t^8.93)/(g1*y) - (t^4.4*y)/g2 - (t^6.9*y)/(g1*g2^3) - (t^6.98*y)/g2^5 + g2^3*t^7.81*y + g1*g2*t^7.89*y + (t^8.09*y)/(g1*g2^6) + (t^8.43*y)/g1^2 + (2*t^8.51*y)/(g1*g2^2) + (2*t^8.58*y)/g2^4 + (g1*t^8.65*y)/g2^6 + (t^8.72*y)/g1 + (t^8.79*y)/g2^2 + (g2^4*t^8.85*y)/g1^2 + (2*g2^2*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
1321 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_1M_5$ | 0.6917 | 0.8473 | 0.8164 | [X:[], M:[0.9935, 1.0033, 1.0, 0.9869, 1.0065, 1.0131], q:[0.5164, 0.4902], qb:[0.4967, 0.5033], phi:[0.4984]] | t^2.96 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.04 + t^3.06 + t^4.44 + t^4.46 + 2*t^4.48 + t^4.5 + 2*t^4.51 + t^4.53 + t^4.55 + t^4.59 + t^5.97 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail | |
1317 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_3M_5$ | 0.6951 | 0.8495 | 0.8182 | [X:[], M:[0.9616, 1.0192, 1.0, 0.9616, 1.0, 1.0384], q:[0.5575, 0.4808], qb:[0.4808, 0.5192], phi:[0.4904]] | 2*t^2.88 + 2*t^3. + t^3.06 + t^3.12 + t^3.23 + 3*t^4.36 + 2*t^4.47 + 3*t^4.59 + t^4.7 + t^4.82 + t^5.77 + t^5.88 + 2*t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail | |
1320 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_5M_7$ | 0.7014 | 0.8528 | 0.8224 | [X:[], M:[0.8973, 1.0514, 1.0, 1.0, 0.8973, 1.0, 1.1027], q:[0.5514, 0.5514], qb:[0.4486, 0.5514], phi:[0.4743]] | t^2.69 + 3*t^3. + t^3.15 + 2*t^3.31 + t^4.11 + 3*t^4.42 + 6*t^4.73 + t^5.38 + t^5.85 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
1318 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_6M_7$ | 0.7125 | 0.871 | 0.818 | [X:[], M:[0.857, 1.0715, 1.0, 0.9945, 0.8625, 1.0055, 0.9945], q:[0.577, 0.566], qb:[0.4285, 0.5715], phi:[0.4643]] | t^2.57 + t^2.59 + 2*t^2.98 + t^3. + t^3.21 + t^3.45 + t^3.96 + t^4.38 + t^4.39 + t^4.41 + t^4.79 + t^4.81 + 2*t^4.82 + t^4.84 + t^4.85 + t^5.14 + t^5.16 + t^5.18 + t^5.55 + 2*t^5.57 + t^5.79 + t^5.8 + 2*t^5.97 - 3*t^6. - t^4.39/y - t^4.39*y | detail | |
1319 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7342 | 0.9146 | 0.8027 | [X:[], M:[0.8619, 1.069, 1.0, 1.0246, 0.8374, 0.9754, 0.6726], q:[0.5445, 0.5936], qb:[0.431, 0.569], phi:[0.4655]] | t^2.02 + t^2.51 + t^2.59 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.34 + t^4.04 + t^4.32 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + t^4.66 + t^4.74 + 2*t^4.81 + t^4.88 + t^4.94 + t^4.96 + 2*t^5.02 + t^5.09 + t^5.1 + t^5.17 + t^5.22 + t^5.36 + t^5.44 + t^5.51 + t^5.59 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. - t^4.4/y - t^4.4*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 |
---|---|---|---|---|---|---|---|---|---|
535 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. - t^4.36/y - t^4.36*y | detail |