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 |
---|---|---|---|---|---|---|---|---|---|
2509 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_4M_7$ | 0.7109 | 0.8797 | 0.8082 | [X:[], M:[1.0363, 0.8911, 0.8549, 1.0726, 1.0, 0.9274, 0.9274], q:[0.5544, 0.4093], qb:[0.5907, 0.5181], phi:[0.4819]] | [X:[], M:[[2], [-6], [-8], [4], [0], [-4], [-4]], q:[[3], [-5]], qb:[[5], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_2$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_5$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_2M_3$, $ M_2^2$, $ M_3M_6$, $ M_3M_7$, $ M_2M_6$, $ M_2M_7$, $ M_3\phi_1^2$, $ M_3M_5$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_5M_6$, $ M_5M_7$, $ \phi_1^4$, $ M_1M_6$, $ M_1M_7$, $ M_5\phi_1^2$ | . | -2 | t^2.56 + t^2.67 + 2*t^2.78 + t^2.89 + t^3. + t^3.11 + t^3.9 + t^4.23 + t^4.34 + t^4.45 + t^4.55 + t^4.66 + 2*t^4.77 + t^4.88 + t^4.99 + t^5.13 + t^5.24 + 3*t^5.35 + 2*t^5.46 + 4*t^5.56 + 3*t^5.67 + 3*t^5.78 + t^5.89 - 2*t^6. - t^6.11 - t^6.22 - t^6.33 - t^6.44 + t^6.47 - t^6.54 + t^6.57 + 2*t^6.68 + 2*t^6.79 + 2*t^6.9 + 3*t^7.01 + 3*t^7.12 + 4*t^7.23 + 4*t^7.34 + 3*t^7.45 + 4*t^7.55 + 2*t^7.66 + t^7.69 + 2*t^7.77 + 2*t^7.8 + 3*t^7.91 - t^7.99 + 3*t^8.02 - t^8.1 + 6*t^8.13 - t^8.21 + 5*t^8.24 + 7*t^8.35 + 5*t^8.46 + t^8.56 + t^8.67 - 5*t^8.78 - 4*t^8.89 - t^4.45/y - t^7.01/y - t^7.12/y - t^7.23/y + t^7.66/y + t^7.77/y + t^7.88/y + t^8.24/y + (2*t^8.35)/y + (3*t^8.46)/y + (3*t^8.56)/y + (4*t^8.67)/y + (3*t^8.78)/y + (3*t^8.89)/y - t^4.45*y - t^7.01*y - t^7.12*y - t^7.23*y + t^7.66*y + t^7.77*y + t^7.88*y + t^8.24*y + 2*t^8.35*y + 3*t^8.46*y + 3*t^8.56*y + 4*t^8.67*y + 3*t^8.78*y + 3*t^8.89*y | t^2.56/g1^8 + t^2.67/g1^6 + (2*t^2.78)/g1^4 + t^2.89/g1^2 + t^3. + g1^2*t^3.11 + t^3.9/g1^11 + t^4.23/g1^5 + t^4.34/g1^3 + t^4.45/g1 + g1*t^4.55 + g1^3*t^4.66 + 2*g1^5*t^4.77 + g1^7*t^4.88 + g1^9*t^4.99 + t^5.13/g1^16 + t^5.24/g1^14 + (3*t^5.35)/g1^12 + (2*t^5.46)/g1^10 + (4*t^5.56)/g1^8 + (3*t^5.67)/g1^6 + (3*t^5.78)/g1^4 + t^5.89/g1^2 - 2*t^6. - g1^2*t^6.11 - g1^4*t^6.22 - g1^6*t^6.33 - g1^8*t^6.44 + t^6.47/g1^19 - g1^10*t^6.54 + t^6.57/g1^17 + (2*t^6.68)/g1^15 + (2*t^6.79)/g1^13 + (2*t^6.9)/g1^11 + (3*t^7.01)/g1^9 + (3*t^7.12)/g1^7 + (4*t^7.23)/g1^5 + (4*t^7.34)/g1^3 + (3*t^7.45)/g1 + 4*g1*t^7.55 + 2*g1^3*t^7.66 + t^7.69/g1^24 + 2*g1^5*t^7.77 + (2*t^7.8)/g1^22 + (3*t^7.91)/g1^20 - g1^9*t^7.99 + (3*t^8.02)/g1^18 - g1^11*t^8.1 + (6*t^8.13)/g1^16 - g1^13*t^8.21 + (5*t^8.24)/g1^14 + (7*t^8.35)/g1^12 + (5*t^8.46)/g1^10 + t^8.56/g1^8 + t^8.67/g1^6 - (5*t^8.78)/g1^4 - (4*t^8.89)/g1^2 - t^4.45/(g1*y) - t^7.01/(g1^9*y) - t^7.12/(g1^7*y) - t^7.23/(g1^5*y) + (g1^3*t^7.66)/y + (g1^5*t^7.77)/y + (g1^7*t^7.88)/y + t^8.24/(g1^14*y) + (2*t^8.35)/(g1^12*y) + (3*t^8.46)/(g1^10*y) + (3*t^8.56)/(g1^8*y) + (4*t^8.67)/(g1^6*y) + (3*t^8.78)/(g1^4*y) + (3*t^8.89)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.01*y)/g1^9 - (t^7.12*y)/g1^7 - (t^7.23*y)/g1^5 + g1^3*t^7.66*y + g1^5*t^7.77*y + g1^7*t^7.88*y + (t^8.24*y)/g1^14 + (2*t^8.35*y)/g1^12 + (3*t^8.46*y)/g1^10 + (3*t^8.56*y)/g1^8 + (4*t^8.67*y)/g1^6 + (3*t^8.78*y)/g1^4 + (3*t^8.89*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
4555 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ | 0.7316 | 0.9191 | 0.796 | [X:[], M:[1.0342, 0.8973, 0.8631, 1.0685, 1.0, 0.9315, 0.9315, 0.6882], q:[0.5513, 0.4144], qb:[0.5856, 0.5171], phi:[0.4829]] | t^2.06 + t^2.59 + t^2.69 + 2*t^2.79 + t^2.9 + t^3. + t^3.1 + t^4.13 + t^4.24 + t^4.35 + t^4.45 + t^4.55 + 2*t^4.65 + 3*t^4.76 + 3*t^4.86 + 2*t^4.96 + t^5.06 + t^5.17 + t^5.18 + t^5.28 + 3*t^5.38 + 2*t^5.49 + 4*t^5.59 + 3*t^5.69 + 3*t^5.79 + t^5.9 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
4554 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_4M_7$ + $ M_8\phi_1^2$ | 0.7077 | 0.8733 | 0.8104 | [X:[], M:[1.0333, 0.9, 0.8667, 1.0666, 1.0, 0.9334, 0.9334, 1.0333], q:[0.55, 0.4167], qb:[0.5833, 0.5167], phi:[0.4833]] | t^2.6 + t^2.7 + 2*t^2.8 + t^3. + 2*t^3.1 + t^3.95 + t^4.25 + t^4.35 + t^4.45 + t^4.55 + t^4.65 + 2*t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.3 + 3*t^5.4 + t^5.5 + 3*t^5.6 + 2*t^5.7 + 3*t^5.8 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
1435 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ | 0.7048 | 0.8677 | 0.8122 | [X:[], M:[1.0305, 0.9086, 0.8782, 1.0609, 1.0, 0.9391], q:[0.5457, 0.4239], qb:[0.5761, 0.5152], phi:[0.4848]] | t^2.63 + t^2.73 + t^2.82 + t^2.91 + t^3. + t^3.09 + t^3.18 + t^4. + t^4.27 + t^4.36 + t^4.45 + t^4.55 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.91 + t^5.27 + t^5.36 + 2*t^5.45 + t^5.54 + 2*t^5.63 + 2*t^5.73 + 3*t^5.82 + t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail |