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 |
---|---|---|---|---|---|---|---|---|---|
651 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6389 | 0.7739 | 0.8256 | [X:[], M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | [X:[], M:[[-3], [4], [-11], [0], [3]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_2M_5$ | . | -1 | t^2.52 + t^2.75 + t^3. + t^3.36 + t^3.48 + t^3.6 + t^3.72 + t^3.84 + t^4.09 + t^4.2 + t^4.32 + t^4.56 + 2*t^5.04 + t^5.51 + t^5.88 - t^6. + t^6.12 + t^6.23 + t^6.35 + t^6.36 + t^6.6 + t^6.61 + t^6.72 + t^6.84 + t^6.96 + t^7.07 + 2*t^7.09 + t^7.19 + t^7.2 + t^7.32 + t^7.44 + t^7.45 + 3*t^7.56 + 2*t^7.68 + t^7.8 + t^7.81 + t^7.91 + 2*t^7.93 + t^8.04 + t^8.17 + t^8.26 - t^8.28 + t^8.29 + 2*t^8.4 - t^8.52 + t^8.64 + t^8.65 - 2*t^8.75 + t^8.77 + t^8.99 - t^4.32/y - t^7.07/y + t^7.56/y + t^8.28/y + t^8.52/y + t^8.75/y + t^8.88/y - t^4.32*y - t^7.07*y + t^7.56*y + t^8.28*y + t^8.52*y + t^8.75*y + t^8.88*y | g1^3*t^2.52 + t^2.75/g1^11 + t^3. + g1^4*t^3.36 + t^3.48/g1^3 + t^3.6/g1^10 + g1^8*t^3.72 + g1*t^3.84 + g1^12*t^4.09 + g1^5*t^4.2 + t^4.32/g1^2 + g1^9*t^4.56 + 2*g1^6*t^5.04 + t^5.51/g1^22 + g1^7*t^5.88 - t^6. + t^6.12/g1^7 + t^6.23/g1^14 + t^6.35/g1^21 + g1^4*t^6.36 + t^6.6/g1^10 + g1^15*t^6.61 + g1^8*t^6.72 + g1*t^6.84 + t^6.96/g1^6 + t^7.07/g1^13 + 2*g1^12*t^7.09 + t^7.19/g1^20 + g1^5*t^7.2 + t^7.32/g1^2 + t^7.44/g1^9 + g1^16*t^7.45 + 3*g1^9*t^7.56 + 2*g1^2*t^7.68 + t^7.8/g1^5 + g1^20*t^7.81 + t^7.91/g1^12 + 2*g1^13*t^7.93 + g1^6*t^8.04 + g1^24*t^8.17 + t^8.26/g1^33 - t^8.28/g1^8 + g1^17*t^8.29 + 2*g1^10*t^8.4 - g1^3*t^8.52 + t^8.64/g1^4 + g1^21*t^8.65 - (2*t^8.75)/g1^11 + g1^14*t^8.77 + t^8.99/g1^25 - t^4.32/(g1^2*y) - t^7.07/(g1^13*y) + (g1^9*t^7.56)/y + t^8.28/(g1^8*y) + (g1^3*t^8.52)/y + t^8.75/(g1^11*y) + (g1^7*t^8.88)/y - (t^4.32*y)/g1^2 - (t^7.07*y)/g1^13 + g1^9*t^7.56*y + (t^8.28*y)/g1^8 + g1^3*t^8.52*y + (t^8.75*y)/g1^11 + g1^7*t^8.88*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 |
---|---|---|---|---|---|---|---|---|
1039 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ | 0.6529 | 0.7983 | 0.8178 | [X:[], M:[1.1633, 1.1155, 0.9323, 1.0, 0.8367, 0.8367], q:[0.7789, 0.4522], qb:[0.3845, 0.6155], phi:[0.4422]] | 2*t^2.51 + t^2.8 + t^3. + t^3.35 + t^3.63 + t^3.69 + t^3.84 + t^4.04 + t^4.18 + t^4.33 + t^4.53 + 4*t^5.02 + t^5.31 + t^5.51 + t^5.59 + 2*t^5.86 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
1042 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_3^2$ | 0.6343 | 0.7707 | 0.8231 | [X:[], M:[1.1818, 1.0909, 1.0, 1.0, 0.8182], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + 3*t^3.82 + t^4.09 + 2*t^4.36 + 2*t^4.91 + t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 13509/21296, c: 16413/21296, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
1038 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.659 | 0.8115 | 0.8121 | [X:[], M:[1.159, 1.1213, 0.9165, 1.0, 0.841, 0.7197], q:[0.7803, 0.4622], qb:[0.3787, 0.6213], phi:[0.4394]] | t^2.16 + t^2.52 + t^2.75 + t^3. + t^3.36 + t^3.48 + t^3.59 + t^3.73 + t^4.09 + t^4.2 + 2*t^4.32 + t^4.57 + t^4.68 + t^4.91 + 2*t^5.05 + t^5.16 + t^5.5 + t^5.52 + t^5.64 + t^5.75 + 2*t^5.89 - t^6. - t^4.32/y - t^4.32*y | detail | |
1040 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6562 | 0.806 | 0.8142 | [X:[], M:[1.1685, 1.1087, 0.951, 1.0, 0.8315, 0.7718], q:[0.7772, 0.4402], qb:[0.3913, 0.6087], phi:[0.4456]] | t^2.32 + t^2.49 + t^2.85 + t^3. + t^3.33 + t^3.51 + t^3.65 + t^3.83 + t^3.98 + t^4.16 + t^4.34 + t^4.48 + t^4.63 + t^4.81 + 2*t^4.99 + t^5.17 + t^5.32 + t^5.64 + t^5.71 + 2*t^5.82 + t^5.97 - t^6. - t^4.34/y - t^4.34*y | detail | |
1037 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6579 | 0.8085 | 0.8137 | [X:[], M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.23 + t^2.54 + t^2.69 + t^3. + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.47 + t^4.61 + t^4.77 + t^4.93 + 2*t^5.08 + t^5.23 + t^5.39 + t^5.62 + t^5.69 + t^5.77 + t^5.92 - t^6. - t^4.31/y - t^4.31*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 |
---|---|---|---|---|---|---|---|---|---|
403 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ | 0.6903 | 0.8344 | 0.8273 | [X:[], M:[0.8831, 1.2074, 0.891, 1.0, 0.6942], q:[0.8018, 0.6129], qb:[0.504, 0.496], phi:[0.3963]] | t^2.08 + t^2.65 + t^2.67 + t^3. + t^3.62 + t^3.89 + 2*t^4.17 + t^4.19 + t^4.21 + t^4.24 + t^4.52 + t^4.54 + t^4.73 + t^4.76 + t^4.87 + t^5.08 + t^5.3 + t^5.32 + t^5.35 + t^5.7 - 2*t^6. - t^4.19/y - t^4.19*y | detail |