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 |
---|---|---|---|---|---|---|---|---|---|
50851 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_6$ | 0.6305 | 0.7796 | 0.8088 | [X:[], M:[1.1928, 0.7711, 0.8072, 0.8192, 1.2048, 0.8072], q:[0.4096, 0.3976], qb:[0.8192, 0.7832], phi:[0.3976]] | [X:[], M:[[3], [12], [-3], [-8], [-2], [-3]], q:[[-4], [1]], qb:[[-8], [7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_6$, $ M_4$, $ M_1$, $ M_5$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_3$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_5$ | . | -1 | t^2.31 + 2*t^2.42 + t^2.46 + t^3.58 + 2*t^3.61 + 2*t^3.65 + t^4.63 + 2*t^4.74 + t^4.77 + t^4.81 + 3*t^4.84 + 2*t^4.88 + t^4.92 + t^5.89 + t^5.93 - t^6. + 3*t^6.04 + 5*t^6.07 + 2*t^6.11 + t^6.94 + 2*t^7.05 + t^7.08 + t^7.16 + 3*t^7.23 + 6*t^7.26 + 5*t^7.3 + 2*t^7.34 + t^7.37 + t^8.21 + t^8.24 - t^8.31 - 3*t^8.42 + t^8.46 + 6*t^8.49 + 5*t^8.53 + 2*t^8.57 - t^4.19/y - t^6.51/y - t^6.61/y - t^6.65/y + (3*t^7.74)/y + (2*t^7.77)/y + t^7.84/y + (3*t^7.88)/y - t^8.82/y + t^8.89/y + t^8.93/y + t^8.96/y - t^4.19*y - t^6.51*y - t^6.61*y - t^6.65*y + 3*t^7.74*y + 2*t^7.77*y + t^7.84*y + 3*t^7.88*y - t^8.82*y + t^8.89*y + t^8.93*y + t^8.96*y | g1^12*t^2.31 + (2*t^2.42)/g1^3 + t^2.46/g1^8 + g1^3*t^3.58 + (2*t^3.61)/g1^2 + (2*t^3.65)/g1^7 + g1^24*t^4.63 + 2*g1^9*t^4.74 + g1^4*t^4.77 + t^4.81/g1 + (3*t^4.84)/g1^6 + (2*t^4.88)/g1^11 + t^4.92/g1^16 + g1^15*t^5.89 + g1^10*t^5.93 - t^6. + (3*t^6.04)/g1^5 + (5*t^6.07)/g1^10 + (2*t^6.11)/g1^15 + g1^36*t^6.94 + 2*g1^21*t^7.05 + g1^16*t^7.08 + g1^6*t^7.16 + (3*t^7.23)/g1^4 + (6*t^7.26)/g1^9 + (5*t^7.3)/g1^14 + (2*t^7.34)/g1^19 + t^7.37/g1^24 + g1^27*t^8.21 + g1^22*t^8.24 - g1^12*t^8.31 - (3*t^8.42)/g1^3 + t^8.46/g1^8 + (6*t^8.49)/g1^13 + (5*t^8.53)/g1^18 + (2*t^8.57)/g1^23 - (g1*t^4.19)/y - (g1^13*t^6.51)/y - t^6.61/(g1^2*y) - t^6.65/(g1^7*y) + (3*g1^9*t^7.74)/y + (2*g1^4*t^7.77)/y + t^7.84/(g1^6*y) + (3*t^7.88)/(g1^11*y) - (g1^25*t^8.82)/y + (g1^15*t^8.89)/y + (g1^10*t^8.93)/y + (g1^5*t^8.96)/y - g1*t^4.19*y - g1^13*t^6.51*y - (t^6.61*y)/g1^2 - (t^6.65*y)/g1^7 + 3*g1^9*t^7.74*y + 2*g1^4*t^7.77*y + (t^7.84*y)/g1^6 + (3*t^7.88*y)/g1^11 - g1^25*t^8.82*y + g1^15*t^8.89*y + g1^10*t^8.93*y + g1^5*t^8.96*y |
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 |
---|---|---|---|---|---|---|---|---|
56165 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_6$ + $ M_2^2$ + $ M_4X_1$ | 0.5768 | 0.7122 | 0.8099 | [X:[1.3333], M:[1.25, 1.0, 0.75, 0.6667, 1.1667, 0.75], q:[0.3333, 0.4167], qb:[0.6667, 0.9167], phi:[0.4167]] | 2*t^2.25 + t^3. + 2*t^3.25 + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 2*t^5.25 + 3*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 443/768, c: 547/768, X1: 4/3, M1: 5/4, M2: 1, M3: 3/4, M4: 2/3, M5: 7/6, M6: 3/4, q1: 1/3, q2: 5/12, qb1: 2/3, qb2: 11/12, phi1: 5/12} |
56173 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_6$ + $ M_3M_7$ | 0.6146 | 0.7514 | 0.8179 | [X:[], M:[1.1898, 0.7591, 0.8102, 0.8273, 1.2068, 0.8102, 1.1898], q:[0.4136, 0.3966], qb:[0.8273, 0.7761], phi:[0.3966]] | t^2.28 + t^2.43 + t^2.48 + 2*t^3.57 + 2*t^3.62 + 2*t^3.67 + t^4.55 + t^4.71 + t^4.76 + t^4.81 + t^4.86 + t^4.91 + t^4.96 + 2*t^5.85 + t^5.9 - t^6. - t^4.19/y - t^4.19*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 |
---|---|---|---|---|---|---|---|---|---|
47025 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ | 0.6388 | 0.7919 | 0.8066 | [X:[], M:[1.147, 0.7449, 0.853, 0.7844, 1.2353, 0.696], q:[0.3922, 0.4608], qb:[0.8629, 0.7548], phi:[0.3823]] | t^2.09 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^3.97 + t^4.18 + t^4.32 + t^4.44 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.91 + t^5.12 + t^5.53 + t^5.59 + t^5.68 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*y | detail |