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 |
---|---|---|---|---|---|---|---|---|---|
55012 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_4$ | 0.6808 | 0.8526 | 0.7985 | [X:[], M:[1.187, 0.9426, 0.813, 0.813, 0.9426, 0.7481], q:[0.4065, 0.4065], qb:[0.6509, 0.7806], phi:[0.4389]] | [X:[], M:[[2], [-22], [-2], [-2], [-22], [8]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ M_4M_6$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_1M_6$ | $M_6\phi_1q_1^2$, $ M_6\phi_1q_2^2$ | -1 | t^2.24 + 2*t^2.44 + t^2.63 + 2*t^2.83 + t^3.56 + 2*t^3.76 + t^4.29 + 3*t^4.49 + 2*t^4.68 + 4*t^4.88 + 4*t^5.07 + t^5.22 + 3*t^5.27 + 2*t^5.46 + 3*t^5.66 + t^5.81 - t^6. + 3*t^6.19 + 3*t^6.39 + t^6.54 + 2*t^6.58 + 2*t^6.73 + 4*t^6.93 + 4*t^7.12 + 8*t^7.32 + t^7.47 + 8*t^7.51 + t^7.66 + 6*t^7.71 + 6*t^7.9 + t^8.05 + 5*t^8.09 - t^8.24 + 3*t^8.29 - 4*t^8.44 + 4*t^8.48 + 2*t^8.63 + 2*t^8.78 - 2*t^8.83 + 3*t^8.98 - t^4.32/y - t^6.56/y - t^6.76/y - t^6.95/y - (2*t^7.14)/y + (2*t^7.49)/y + (3*t^7.68)/y + (3*t^7.88)/y + (5*t^8.07)/y + (4*t^8.27)/y + (2*t^8.46)/y + t^8.66/y - t^4.32*y - t^6.56*y - t^6.76*y - t^6.95*y - 2*t^7.14*y + 2*t^7.49*y + 3*t^7.68*y + 3*t^7.88*y + 5*t^8.07*y + 4*t^8.27*y + 2*t^8.46*y + t^8.66*y | g1^8*t^2.24 + (2*t^2.44)/g1^2 + t^2.63/g1^12 + (2*t^2.83)/g1^22 + g1^2*t^3.56 + (2*t^3.76)/g1^8 + g1^26*t^4.29 + 3*g1^16*t^4.49 + 2*g1^6*t^4.68 + (4*t^4.88)/g1^4 + (4*t^5.07)/g1^14 + g1^40*t^5.22 + (3*t^5.27)/g1^24 + (2*t^5.46)/g1^34 + (3*t^5.66)/g1^44 + g1^10*t^5.81 - t^6. + (3*t^6.19)/g1^10 + (3*t^6.39)/g1^20 + g1^34*t^6.54 + (2*t^6.58)/g1^30 + 2*g1^24*t^6.73 + 4*g1^14*t^6.93 + 4*g1^4*t^7.12 + (8*t^7.32)/g1^6 + g1^48*t^7.47 + (8*t^7.51)/g1^16 + g1^38*t^7.66 + (6*t^7.71)/g1^26 + (6*t^7.9)/g1^36 + g1^18*t^8.05 + (5*t^8.09)/g1^46 - g1^8*t^8.24 + (3*t^8.29)/g1^56 - (4*t^8.44)/g1^2 + (4*t^8.48)/g1^66 + (2*t^8.63)/g1^12 + 2*g1^42*t^8.78 - (2*t^8.83)/g1^22 + 3*g1^32*t^8.98 - t^4.32/(g1^6*y) - (g1^2*t^6.56)/y - t^6.76/(g1^8*y) - t^6.95/(g1^18*y) - (2*t^7.14)/(g1^28*y) + (2*g1^16*t^7.49)/y + (3*g1^6*t^7.68)/y + (3*t^7.88)/(g1^4*y) + (5*t^8.07)/(g1^14*y) + (4*t^8.27)/(g1^24*y) + (2*t^8.46)/(g1^34*y) + t^8.66/(g1^44*y) - (t^4.32*y)/g1^6 - g1^2*t^6.56*y - (t^6.76*y)/g1^8 - (t^6.95*y)/g1^18 - (2*t^7.14*y)/g1^28 + 2*g1^16*t^7.49*y + 3*g1^6*t^7.68*y + (3*t^7.88*y)/g1^4 + (5*t^8.07*y)/g1^14 + (4*t^8.27*y)/g1^24 + (2*t^8.46*y)/g1^34 + (t^8.66*y)/g1^44 |
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 |
---|---|---|---|---|---|---|---|---|
56677 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_4$ + $ M_1M_7$ | 0.6965 | 0.8801 | 0.7914 | [X:[], M:[1.1873, 0.9393, 0.8127, 0.8127, 0.9393, 0.7493, 0.8127], q:[0.4063, 0.4063], qb:[0.6543, 0.781], phi:[0.438]] | t^2.25 + 3*t^2.44 + t^2.63 + 2*t^2.82 + 2*t^3.75 + t^4.31 + 3*t^4.5 + 3*t^4.69 + 7*t^4.88 + 5*t^5.07 + t^5.24 + 5*t^5.26 + 2*t^5.45 + 3*t^5.64 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
56675 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_4$ + $ M_6M_7$ | 0.6618 | 0.8182 | 0.8088 | [X:[], M:[1.1878, 0.9341, 0.8122, 0.8122, 0.9341, 0.7512, 1.2488], q:[0.4061, 0.4061], qb:[0.6598, 0.7817], phi:[0.4366]] | 2*t^2.44 + t^2.62 + 2*t^2.8 + t^3.56 + 3*t^3.75 + t^4.32 + 2*t^4.51 + 3*t^4.87 + 2*t^5.06 + 3*t^5.24 + t^5.27 + 2*t^5.42 + 3*t^5.6 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
56676 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_4$ + $ M_7\phi_1^2$ | 0.6704 | 0.8348 | 0.8031 | [X:[], M:[1.1847, 0.9683, 0.8153, 0.8153, 0.9683, 0.7388, 1.1082], q:[0.4077, 0.4077], qb:[0.624, 0.777], phi:[0.4459]] | t^2.22 + 2*t^2.45 + 2*t^2.9 + t^3.32 + t^3.55 + 2*t^3.78 + t^4.2 + 3*t^4.43 + 2*t^4.66 + 3*t^4.89 + t^5.08 + 2*t^5.12 + 2*t^5.35 + t^5.54 + 3*t^5.77 + 3*t^5.81 - t^6. - t^4.34/y - t^4.34*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 |
---|---|---|---|---|---|---|---|---|---|
46820 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6898 | 0.8671 | 0.7956 | [X:[], M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | t^2.16 + t^2.2 + t^2.55 + t^2.59 + t^2.62 + t^2.97 + t^3.45 + t^3.49 + t^4.19 + t^4.28 + 2*t^4.32 + t^4.36 + t^4.4 + t^4.67 + t^4.71 + 2*t^4.75 + 2*t^4.78 + t^4.82 + t^5.09 + 2*t^5.13 + t^5.15 + 2*t^5.17 + t^5.21 + t^5.25 + t^5.56 + t^5.6 + t^5.61 + t^5.65 + t^5.69 + t^5.94 - 2*t^6. - t^4.29/y - t^4.29*y | detail |