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 |
---|---|---|---|---|---|---|---|---|---|
831 | 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_6^2$ + $ M_1M_4$ | 0.7138 | 0.8725 | 0.8181 | [X:[], M:[1.0, 1.0782, 0.8436, 1.0, 0.8436, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6564], phi:[0.4609]] | [X:[], M:[[1, 0], [0, 2], [-1, -4], [-1, 0], [1, -4], [0, 0]], q:[[0, 0], [-1, 0]], qb:[[1, 0], [0, 4]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_5$, $ M_1$, $ M_4$, $ M_6$, $ M_4$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\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$, $ M_3M_5$, $ M_3^2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_4M_5$, $ M_3M_4$, $ M_1M_5$, $ M_2M_3$, $ M_2M_5$ | $M_1^2$, $ M_4^2$, $ M_1M_6$, $ M_4M_6$, $ M_5q_1\tilde{q}_2$ | -2 | 2*t^2.53 + 3*t^3. + t^3.23 + t^3.47 + 6*t^4.38 + 3*t^4.85 + 3*t^5.06 + t^5.32 + 3*t^5.53 + 2*t^5.77 - 2*t^6. + 3*t^6.23 + t^6.7 + 9*t^6.91 + t^6.94 + 12*t^7.38 + 4*t^7.59 + 5*t^7.85 + 4*t^8.06 + 3*t^8.3 + 3*t^8.32 - 10*t^8.53 + 18*t^8.77 + t^8.79 - t^4.38/y - (2*t^6.91)/y + (2*t^7.85)/y + t^8.06/y + (6*t^8.53)/y + (2*t^8.77)/y - t^4.38*y - 2*t^6.91*y + 2*t^7.85*y + t^8.06*y + 6*t^8.53*y + 2*t^8.77*y | t^2.53/(g1*g2^4) + (g1*t^2.53)/g2^4 + t^3. + t^3./g1 + g1*t^3. + g2^2*t^3.23 + g2^4*t^3.47 + (2*t^4.38)/g2 + t^4.38/(g1^2*g2) + t^4.38/(g1*g2) + (g1*t^4.38)/g2 + (g1^2*t^4.38)/g2 + g2^3*t^4.85 + (g2^3*t^4.85)/g1 + g1*g2^3*t^4.85 + t^5.06/g2^8 + t^5.06/(g1^2*g2^8) + (g1^2*t^5.06)/g2^8 + g2^7*t^5.32 + t^5.53/g2^4 + t^5.53/(g1^2*g2^4) + (g1^2*t^5.53)/g2^4 + t^5.77/(g1*g2^2) + (g1*t^5.77)/g2^2 - 2*t^6. + g2^2*t^6.23 + (g2^2*t^6.23)/g1 + g1*g2^2*t^6.23 + g2^6*t^6.7 + t^6.91/g2^5 + t^6.91/(g1^3*g2^5) + t^6.91/(g1^2*g2^5) + (2*t^6.91)/(g1*g2^5) + (2*g1*t^6.91)/g2^5 + (g1^2*t^6.91)/g2^5 + (g1^3*t^6.91)/g2^5 + g2^8*t^6.94 + (2*t^7.38)/g2 + t^7.38/(g1^3*g2) + (2*t^7.38)/(g1^2*g2) + (2*t^7.38)/(g1*g2) + (2*g1*t^7.38)/g2 + (2*g1^2*t^7.38)/g2 + (g1^3*t^7.38)/g2 + t^7.59/(g1^3*g2^12) + t^7.59/(g1*g2^12) + (g1*t^7.59)/g2^12 + (g1^3*t^7.59)/g2^12 + g2^3*t^7.85 + (g2^3*t^7.85)/g1^2 + (g2^3*t^7.85)/g1 + g1*g2^3*t^7.85 + g1^2*g2^3*t^7.85 + t^8.06/(g1^3*g2^8) + t^8.06/(g1*g2^8) + (g1*t^8.06)/g2^8 + (g1^3*t^8.06)/g2^8 + t^8.3/g2^6 + t^8.3/(g1^2*g2^6) + (g1^2*t^8.3)/g2^6 + g2^7*t^8.32 + (g2^7*t^8.32)/g1 + g1*g2^7*t^8.32 - (2*t^8.53)/g2^4 - t^8.53/(g1^2*g2^4) - (3*t^8.53)/(g1*g2^4) - (3*g1*t^8.53)/g2^4 - (g1^2*t^8.53)/g2^4 + (4*t^8.77)/g2^2 + t^8.77/(g1^4*g2^2) + t^8.77/(g1^3*g2^2) + (3*t^8.77)/(g1^2*g2^2) + (2*t^8.77)/(g1*g2^2) + (2*g1*t^8.77)/g2^2 + (3*g1^2*t^8.77)/g2^2 + (g1^3*t^8.77)/g2^2 + (g1^4*t^8.77)/g2^2 + g2^11*t^8.79 - t^4.38/(g2*y) - t^6.91/(g1*g2^5*y) - (g1*t^6.91)/(g2^5*y) + (g2^3*t^7.85)/(g1*y) + (g1*g2^3*t^7.85)/y + t^8.06/(g2^8*y) + (2*t^8.53)/(g2^4*y) + t^8.53/(g1^2*g2^4*y) + t^8.53/(g1*g2^4*y) + (g1*t^8.53)/(g2^4*y) + (g1^2*t^8.53)/(g2^4*y) + t^8.77/(g1*g2^2*y) + (g1*t^8.77)/(g2^2*y) - (t^4.38*y)/g2 - (t^6.91*y)/(g1*g2^5) - (g1*t^6.91*y)/g2^5 + (g2^3*t^7.85*y)/g1 + g1*g2^3*t^7.85*y + (t^8.06*y)/g2^8 + (2*t^8.53*y)/g2^4 + (t^8.53*y)/(g1^2*g2^4) + (t^8.53*y)/(g1*g2^4) + (g1*t^8.53*y)/g2^4 + (g1^2*t^8.53*y)/g2^4 + (t^8.77*y)/(g1*g2^2) + (g1*t^8.77*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
1312 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_1M_4$ + $ M_1M_7$ | 0.7149 | 0.8751 | 0.817 | [X:[], M:[1.0239, 1.078, 0.8202, 0.9761, 0.868, 1.0, 0.9761], q:[0.5, 0.4761], qb:[0.5239, 0.6559], phi:[0.461]] | t^2.46 + t^2.6 + 2*t^2.93 + t^3. + t^3.23 + t^3.47 + t^4.24 + t^4.31 + 2*t^4.38 + t^4.45 + t^4.53 + t^4.78 + t^4.85 + 2*t^4.92 + t^5.06 + t^5.21 + t^5.32 + 2*t^5.39 + t^5.53 + t^5.69 + t^5.84 + 2*t^5.86 + t^5.93 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
1315 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ | 0.7287 | 0.8998 | 0.8098 | [X:[], M:[1.0, 1.0955, 0.809, 1.0, 0.809, 1.0, 0.809], q:[0.5, 0.5], qb:[0.5, 0.691], phi:[0.4523]] | 3*t^2.43 + 3*t^3. + t^3.29 + 6*t^4.36 + 6*t^4.85 + 3*t^4.93 + 6*t^5.43 + t^5.5 + 3*t^5.71 - 4*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
534 | 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_6^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[0.8539, 1.1461, 0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]] | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. - t^4.28/y - t^4.28*y | detail |