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 |
---|---|---|---|---|---|---|---|---|---|
4388 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ M_6M_8$ + $ \phi_1q_1\tilde{q}_2$ | 0.5928 | 0.7556 | 0.7846 | [X:[], M:[0.6694, 1.151, 1.0285, 0.7265, 0.9715, 1.2735, 0.9715, 0.7265], q:[0.9388, 0.3918], qb:[0.3347, 0.6367], phi:[0.4245]] | [X:[], M:[[22], [-4], [-14], [-6], [14], [6], [14], [-6]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ M_8$, $ M_5$, $ M_7$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_4$, $ M_1M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_1M_5$, $ M_1M_7$, $ M_4M_5$, $ M_4M_7$, $ M_5M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_2M_8$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_8\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2^2$, $ M_8\phi_1q_2^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$ | . | -3 | t^2.01 + 2*t^2.18 + 2*t^2.91 + t^3.28 + 2*t^3.45 + t^3.62 + t^4.02 + 2*t^4.19 + 3*t^4.36 + t^4.73 + 2*t^4.92 + 4*t^5.09 + t^5.29 + 3*t^5.46 + 4*t^5.63 + 2*t^5.8 + 2*t^5.83 - 3*t^6. + t^6.02 - t^6.17 + 4*t^6.2 + 5*t^6.37 + 4*t^6.54 + t^6.56 + t^6.73 + 2*t^6.91 + 2*t^6.93 + t^7.08 + 3*t^7.1 + t^7.25 + 3*t^7.27 + t^7.3 - 2*t^7.44 + 3*t^7.47 + 5*t^7.64 + 4*t^7.81 + 2*t^7.84 + 3*t^7.98 + t^8.01 + t^8.03 - 7*t^8.18 + 4*t^8.2 - 2*t^8.35 + 7*t^8.38 + 6*t^8.55 + t^8.57 + 4*t^8.72 + 4*t^8.74 - 5*t^8.91 + 2*t^8.94 - t^4.27/y - t^6.28/y - t^6.45/y + t^7.19/y + (2*t^7.36)/y + (2*t^7.92)/y + (5*t^8.09)/y + t^8.27/y + (3*t^8.46)/y + (4*t^8.63)/y + (2*t^8.8)/y + t^8.83/y - t^4.27*y - t^6.28*y - t^6.45*y + t^7.19*y + 2*t^7.36*y + 2*t^7.92*y + 5*t^8.09*y + t^8.27*y + 3*t^8.46*y + 4*t^8.63*y + 2*t^8.8*y + t^8.83*y | g1^22*t^2.01 + (2*t^2.18)/g1^6 + 2*g1^14*t^2.91 + g1^24*t^3.28 + (2*t^3.45)/g1^4 + t^3.62/g1^32 + g1^44*t^4.02 + 2*g1^16*t^4.19 + (3*t^4.36)/g1^12 + t^4.73/g1^2 + 2*g1^36*t^4.92 + 4*g1^8*t^5.09 + g1^46*t^5.29 + 3*g1^18*t^5.46 + (4*t^5.63)/g1^10 + (2*t^5.8)/g1^38 + 2*g1^28*t^5.83 - 3*t^6. + g1^66*t^6.02 - t^6.17/g1^28 + 4*g1^38*t^6.2 + 5*g1^10*t^6.37 + (4*t^6.54)/g1^18 + g1^48*t^6.56 + g1^20*t^6.73 + (2*t^6.91)/g1^8 + 2*g1^58*t^6.93 + t^7.08/g1^36 + 3*g1^30*t^7.1 + t^7.25/g1^64 + 3*g1^2*t^7.27 + g1^68*t^7.3 - (2*t^7.44)/g1^26 + 3*g1^40*t^7.47 + 5*g1^12*t^7.64 + (4*t^7.81)/g1^16 + 2*g1^50*t^7.84 + (3*t^7.98)/g1^44 + g1^22*t^8.01 + g1^88*t^8.03 - (7*t^8.18)/g1^6 + 4*g1^60*t^8.2 - (2*t^8.35)/g1^34 + 7*g1^32*t^8.38 + 6*g1^4*t^8.55 + g1^70*t^8.57 + (4*t^8.72)/g1^24 + 4*g1^42*t^8.74 - 5*g1^14*t^8.91 + 2*g1^80*t^8.94 - (g1^2*t^4.27)/y - (g1^24*t^6.28)/y - t^6.45/(g1^4*y) + (g1^16*t^7.19)/y + (2*t^7.36)/(g1^12*y) + (2*g1^36*t^7.92)/y + (5*g1^8*t^8.09)/y + t^8.27/(g1^20*y) + (3*g1^18*t^8.46)/y + (4*t^8.63)/(g1^10*y) + (2*t^8.8)/(g1^38*y) + (g1^28*t^8.83)/y - g1^2*t^4.27*y - g1^24*t^6.28*y - (t^6.45*y)/g1^4 + g1^16*t^7.19*y + (2*t^7.36*y)/g1^12 + 2*g1^36*t^7.92*y + 5*g1^8*t^8.09*y + (t^8.27*y)/g1^20 + 3*g1^18*t^8.46*y + (4*t^8.63*y)/g1^10 + (2*t^8.8*y)/g1^38 + g1^28*t^8.83*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 |
---|---|---|---|---|---|---|---|---|
5869 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ M_6M_8$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.5774 | 0.735 | 0.7856 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 1.0435, 0.6957], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | 2*t^2.09 + t^2.35 + 3*t^3.13 + 2*t^3.39 + t^3.65 + 3*t^4.17 + 2*t^4.43 + 2*t^4.7 + 6*t^5.22 + 6*t^5.48 + 2*t^5.74 - 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 56199/97336, c: 17885/24334, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 24/23, M8: 16/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
5879 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ M_6M_8$ + $ \phi_1q_1\tilde{q}_2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6031 | 0.7725 | 0.7807 | [X:[], M:[0.7048, 1.1446, 1.006, 0.7169, 0.994, 1.2831, 0.994, 0.7169, 0.8675], q:[0.9307, 0.3644], qb:[0.3524, 0.6416], phi:[0.4277]] | t^2.11 + 2*t^2.15 + t^2.6 + 2*t^2.98 + 2*t^3.43 + t^3.47 + t^4.23 + 2*t^4.27 + 3*t^4.3 + 2*t^4.72 + 2*t^4.75 + 2*t^5.1 + 4*t^5.13 + t^5.2 + t^5.55 + 6*t^5.58 + 2*t^5.62 + 2*t^5.96 - 3*t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
2368 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ M_6M_8$ | 0.7059 | 0.8668 | 0.8143 | [X:[], M:[0.8637, 1.0409, 1.0545, 0.9727, 0.9455, 1.0273, 0.9455, 0.9727], q:[0.5955, 0.5408], qb:[0.4319, 0.5137], phi:[0.4796]] | t^2.59 + 2*t^2.84 + 2*t^2.92 + t^3.12 + t^3.33 + t^4.03 + t^4.28 + t^4.36 + 2*t^4.52 + t^4.6 + t^4.68 + t^4.77 + t^4.85 + t^5.01 + t^5.18 + 2*t^5.43 + t^5.51 + 2*t^5.67 + t^5.71 + 2*t^5.75 + 2*t^5.84 + 2*t^5.96 - 4*t^6. - t^4.44/y - t^4.44*y | detail |