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 |
---|---|---|---|---|---|---|---|---|---|
55516 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6^2$ | 0.5778 | 0.7207 | 0.8018 | [X:[], M:[1.2857, 0.9107, 0.7143, 1.1429, 0.8036, 1.0], q:[0.4018, 0.3125], qb:[0.6875, 0.8839], phi:[0.4286]] | [X:[], M:[[0], [2], [0], [0], [-2], [0]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 50739/87808, c: 63283/87808, M1: 9/7, M2: 51/56, M3: 5/7, M4: 8/7, M5: 45/56, M6: 1, q1: 45/112, q2: 5/16, qb1: 11/16, qb2: 99/112, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_5$, $ M_2$, $ M_6$, $ \phi_1q_2^2$, $ M_4$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3\phi_1q_2^2$, $ M_5M_6$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ M_4M_5$, $ M_5\phi_1q_1q_2$, $ M_2\phi_1q_2^2$ | . | -1 | t^2.14 + t^2.41 + t^2.73 + t^3. + t^3.16 + 2*t^3.43 + t^3.7 + t^3.86 + t^4.29 + t^4.55 + t^4.71 + t^4.82 + t^4.88 + 2*t^5.14 + t^5.3 + t^5.41 + t^5.46 + 2*t^5.57 + 2*t^5.84 + t^5.89 - t^6. + t^6.11 + 2*t^6.16 + t^6.32 + 2*t^6.43 + 2*t^6.59 + t^6.7 + 2*t^6.86 + t^6.96 - 2*t^7.12 + 3*t^7.13 + t^7.23 + t^7.29 + t^7.39 + t^7.45 + 2*t^7.55 + t^7.61 + 2*t^7.71 + t^7.82 + t^7.88 + t^7.98 + t^8.04 - t^8.14 + t^8.2 + 2*t^8.25 + t^8.3 - 2*t^8.41 + t^8.46 + t^8.52 + 3*t^8.57 + t^8.62 - t^8.73 + t^8.84 + t^8.89 - t^4.29/y - t^6.7/y - t^7.02/y + (2*t^7.55)/y + (2*t^7.88)/y + (2*t^8.14)/y + t^8.3/y + t^8.41/y + (3*t^8.57)/y + t^8.73/y + (3*t^8.84)/y + t^8.89/y - t^4.29*y - t^6.7*y - t^7.02*y + 2*t^7.55*y + 2*t^7.88*y + 2*t^8.14*y + t^8.3*y + t^8.41*y + 3*t^8.57*y + t^8.73*y + 3*t^8.84*y + t^8.89*y | t^2.14 + t^2.41/g1^2 + g1^2*t^2.73 + t^3. + g1^2*t^3.16 + 2*t^3.43 + t^3.7/g1^2 + t^3.86 + t^4.29 + t^4.55/g1^2 + t^4.71 + t^4.82/g1^4 + g1^2*t^4.88 + 2*t^5.14 + g1^2*t^5.3 + t^5.41/g1^2 + g1^4*t^5.46 + 2*t^5.57 + (2*t^5.84)/g1^2 + g1^4*t^5.89 - t^6. + t^6.11/g1^4 + 2*g1^2*t^6.16 + g1^4*t^6.32 + 2*t^6.43 + 2*g1^2*t^6.59 + t^6.7/g1^2 + 2*t^6.86 + t^6.96/g1^4 - (2*t^7.12)/g1^2 + (3*t^7.13)/g1^2 + t^7.23/g1^6 + t^7.29 + t^7.39/g1^4 + g1^2*t^7.45 + (2*t^7.55)/g1^2 + g1^4*t^7.61 + 2*t^7.71 + t^7.82/g1^4 + g1^2*t^7.88 + t^7.98/g1^2 + g1^4*t^8.04 - t^8.14 + g1^6*t^8.2 + (2*t^8.25)/g1^4 + g1^2*t^8.3 - (2*t^8.41)/g1^2 + g1^4*t^8.46 + t^8.52/g1^6 + 3*t^8.57 + g1^6*t^8.62 - g1^2*t^8.73 + t^8.84/g1^2 + g1^4*t^8.89 - t^4.29/y - t^6.7/(g1^2*y) - (g1^2*t^7.02)/y + (2*t^7.55)/(g1^2*y) + (2*g1^2*t^7.88)/y + (2*t^8.14)/y + (g1^2*t^8.3)/y + t^8.41/(g1^2*y) + (3*t^8.57)/y + (g1^2*t^8.73)/y + (3*t^8.84)/(g1^2*y) + (g1^4*t^8.89)/y - t^4.29*y - (t^6.7*y)/g1^2 - g1^2*t^7.02*y + (2*t^7.55*y)/g1^2 + 2*g1^2*t^7.88*y + 2*t^8.14*y + g1^2*t^8.3*y + (t^8.41*y)/g1^2 + 3*t^8.57*y + g1^2*t^8.73*y + (3*t^8.84*y)/g1^2 + g1^4*t^8.89*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 |
---|---|---|---|---|---|---|---|---|
57095 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6^2$ + $ M_1M_7$ | 0.5981 | 0.7588 | 0.7882 | [X:[], M:[1.2857, 0.9107, 0.7143, 1.1429, 0.8036, 1.0, 0.7143], q:[0.4018, 0.3125], qb:[0.6875, 0.8839], phi:[0.4286]] | 2*t^2.14 + t^2.41 + t^2.73 + t^3. + t^3.16 + 2*t^3.43 + t^3.7 + 3*t^4.29 + 2*t^4.55 + t^4.71 + t^4.82 + 2*t^4.88 + 3*t^5.14 + 2*t^5.3 + t^5.41 + t^5.46 + 4*t^5.57 + 3*t^5.84 + t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 52515/87808, c: 66627/87808, M1: 9/7, M2: 51/56, M3: 5/7, M4: 8/7, M5: 45/56, M6: 1, M7: 5/7, q1: 45/112, q2: 5/16, qb1: 11/16, qb2: 99/112, phi1: 3/7} |
57094 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6^2$ + $ M_7\phi_1q_1^2$ | 0.5966 | 0.7552 | 0.7899 | [X:[], M:[1.2857, 0.8901, 0.7143, 1.1429, 0.8242, 1.0, 0.7472], q:[0.4121, 0.3022], qb:[0.6978, 0.8736], phi:[0.4286]] | t^2.14 + t^2.24 + t^2.47 + t^2.67 + t^3. + t^3.1 + 2*t^3.43 + t^3.86 + t^4.29 + t^4.38 + t^4.48 + t^4.62 + 2*t^4.71 + t^4.81 + t^4.91 + t^4.95 + 2*t^5.14 + 2*t^5.24 + 2*t^5.34 + t^5.47 + 2*t^5.57 + 2*t^5.67 + t^5.77 + t^5.9 - t^6. - t^4.29/y - t^4.29*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 |
---|---|---|---|---|---|---|---|---|---|
47126 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.639 | 0.7933 | 0.8056 | [X:[], M:[1.1493, 0.7399, 0.8507, 1.2338, 0.7924, 0.6817], q:[0.3962, 0.4545], qb:[0.8638, 0.7531], phi:[0.3831]] | t^2.04 + t^2.22 + t^2.38 + t^2.55 + t^3.45 + t^3.53 + 2*t^3.7 + t^3.88 + t^4.09 + t^4.26 + t^4.42 + t^4.44 + 2*t^4.6 + t^4.75 + t^4.77 + t^4.85 + t^4.93 + t^5.1 + t^5.49 + t^5.57 + t^5.67 + 2*t^5.75 + t^5.9 + 2*t^5.92 - 2*t^6. - t^4.15/y - t^4.15*y | detail |