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 |
---|---|---|---|---|---|---|---|---|---|
4555 | 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$ + $ 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]] | [X:[], M:[[2], [-6], [-8], [4], [0], [-4], [-4], [11]], q:[[3], [-5]], qb:[[5], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_8$, $ M_3$, $ M_2$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_5$, $ M_1$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_8$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_8\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_8$, $ M_1M_8$, $ 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^2.06 + 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^6.1 + t^6.19 - t^6.21 + t^6.62 + 2*t^6.72 + 3*t^6.82 + t^6.83 + 3*t^6.92 + t^6.94 + 2*t^7.03 + 2*t^7.04 + t^7.13 + 3*t^7.14 + t^7.23 + 5*t^7.24 + 5*t^7.35 + 6*t^7.45 + 6*t^7.55 + 6*t^7.65 + 5*t^7.76 + t^7.77 + 3*t^7.86 + t^7.87 + 3*t^7.97 - 3*t^8.06 + 3*t^8.08 - 2*t^8.17 + 5*t^8.18 + t^8.26 - t^8.27 + 4*t^8.28 + 6*t^8.38 + 4*t^8.49 + t^8.68 - t^8.69 + 2*t^8.78 - 6*t^8.79 + 3*t^8.89 - 4*t^8.9 + 3*t^8.99 - t^4.45/y - t^6.51/y - t^7.04/y - t^7.14/y - t^7.24/y + (2*t^7.65)/y + (2*t^7.76)/y + (3*t^7.86)/y + t^7.96/y + t^8.06/y + t^8.17/y + t^8.28/y + (3*t^8.38)/y + (3*t^8.49)/y - t^8.58/y + (3*t^8.59)/y + (4*t^8.69)/y + (3*t^8.79)/y + (3*t^8.9)/y - t^4.45*y - t^6.51*y - t^7.04*y - t^7.14*y - t^7.24*y + 2*t^7.65*y + 2*t^7.76*y + 3*t^7.86*y + t^7.96*y + t^8.06*y + t^8.17*y + t^8.28*y + 3*t^8.38*y + 3*t^8.49*y - t^8.58*y + 3*t^8.59*y + 4*t^8.69*y + 3*t^8.79*y + 3*t^8.9*y | g1^11*t^2.06 + t^2.59/g1^8 + t^2.69/g1^6 + (2*t^2.79)/g1^4 + t^2.9/g1^2 + t^3. + g1^2*t^3.1 + g1^22*t^4.13 + t^4.24/g1^5 + t^4.35/g1^3 + t^4.45/g1 + g1*t^4.55 + 2*g1^3*t^4.65 + 3*g1^5*t^4.76 + 3*g1^7*t^4.86 + 2*g1^9*t^4.96 + g1^11*t^5.06 + g1^13*t^5.17 + t^5.18/g1^16 + t^5.28/g1^14 + (3*t^5.38)/g1^12 + (2*t^5.49)/g1^10 + (4*t^5.59)/g1^8 + (3*t^5.69)/g1^6 + (3*t^5.79)/g1^4 + t^5.9/g1^2 - 2*t^6. - g1^2*t^6.1 + g1^33*t^6.19 - g1^4*t^6.21 + g1^12*t^6.62 + 2*g1^14*t^6.72 + 3*g1^16*t^6.82 + t^6.83/g1^13 + 3*g1^18*t^6.92 + t^6.94/g1^11 + 2*g1^20*t^7.03 + (2*t^7.04)/g1^9 + g1^22*t^7.13 + (3*t^7.14)/g1^7 + g1^24*t^7.23 + (5*t^7.24)/g1^5 + (5*t^7.35)/g1^3 + (6*t^7.45)/g1 + 6*g1*t^7.55 + 6*g1^3*t^7.65 + 5*g1^5*t^7.76 + t^7.77/g1^24 + 3*g1^7*t^7.86 + t^7.87/g1^22 + (3*t^7.97)/g1^20 - 3*g1^11*t^8.06 + (3*t^8.08)/g1^18 - 2*g1^13*t^8.17 + (5*t^8.18)/g1^16 + g1^44*t^8.26 - g1^15*t^8.27 + (4*t^8.28)/g1^14 + (6*t^8.38)/g1^12 + (4*t^8.49)/g1^10 + g1^23*t^8.68 - t^8.69/g1^6 + 2*g1^25*t^8.78 - (6*t^8.79)/g1^4 + 3*g1^27*t^8.89 - (4*t^8.9)/g1^2 + 3*g1^29*t^8.99 - t^4.45/(g1*y) - (g1^10*t^6.51)/y - t^7.04/(g1^9*y) - t^7.14/(g1^7*y) - t^7.24/(g1^5*y) + (2*g1^3*t^7.65)/y + (2*g1^5*t^7.76)/y + (3*g1^7*t^7.86)/y + (g1^9*t^7.96)/y + (g1^11*t^8.06)/y + (g1^13*t^8.17)/y + t^8.28/(g1^14*y) + (3*t^8.38)/(g1^12*y) + (3*t^8.49)/(g1^10*y) - (g1^21*t^8.58)/y + (3*t^8.59)/(g1^8*y) + (4*t^8.69)/(g1^6*y) + (3*t^8.79)/(g1^4*y) + (3*t^8.9)/(g1^2*y) - (t^4.45*y)/g1 - g1^10*t^6.51*y - (t^7.04*y)/g1^9 - (t^7.14*y)/g1^7 - (t^7.24*y)/g1^5 + 2*g1^3*t^7.65*y + 2*g1^5*t^7.76*y + 3*g1^7*t^7.86*y + g1^9*t^7.96*y + g1^11*t^8.06*y + g1^13*t^8.17*y + (t^8.28*y)/g1^14 + (3*t^8.38*y)/g1^12 + (3*t^8.49*y)/g1^10 - g1^21*t^8.58*y + (3*t^8.59*y)/g1^8 + (4*t^8.69*y)/g1^6 + (3*t^8.79*y)/g1^4 + (3*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
6051 | $M_1q_1q_2$ + $ 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$ + $ M_1M_8$ | 0.6903 | 0.8778 | 0.7864 | [X:[], M:[1.0769, 0.7692, 0.6923, 1.1538, 1.0, 0.8462, 0.8462, 0.9231], q:[0.6154, 0.3077], qb:[0.6923, 0.5385], phi:[0.4615]] | t^2.08 + t^2.31 + 2*t^2.54 + 2*t^2.77 + t^3. + t^3.23 + t^3.92 + 2*t^4.15 + 2*t^4.38 + 4*t^4.62 + 4*t^4.85 + 7*t^5.08 + 6*t^5.31 + 6*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 3033/4394, c: 30855/35152, M1: 14/13, M2: 10/13, M3: 9/13, M4: 15/13, M5: 1, M6: 11/13, M7: 11/13, M8: 12/13, q1: 8/13, q2: 4/13, qb1: 9/13, qb2: 7/13, phi1: 6/13} |
6048 | $M_1q_1q_2$ + $ 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$ + $ M_8^2$ + $ M_3X_1$ | 0.6391 | 0.8039 | 0.795 | [X:[1.3636], M:[1.0909, 0.7273, 0.6364, 1.1818, 1.0, 0.8182, 0.8182, 1.0], q:[0.6364, 0.2727], qb:[0.7273, 0.5455], phi:[0.4545]] | t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.27 + t^3.82 + 2*t^4.09 + 2*t^4.36 + 2*t^4.64 + 4*t^4.91 + 5*t^5.18 + 6*t^5.45 + 3*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 13611/21296, c: 1070/1331, X1: 15/11, M1: 12/11, M2: 8/11, M3: 7/11, M4: 13/11, M5: 1, M6: 9/11, M7: 9/11, M8: 1, q1: 7/11, q2: 3/11, qb1: 8/11, qb2: 6/11, phi1: 5/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.45/y - t^4.45*y | detail |