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 |
---|---|---|---|---|---|---|---|---|---|
2380 | 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5702 | 0.713 | 0.7996 | [X:[], M:[0.7158, 1.1426, 0.999, 0.7139, 1.001, 1.2861, 0.999], q:[0.9282, 0.356], qb:[0.3579, 0.6431], phi:[0.4287]] | [X:[], M:[[22], [-4], [-14], [-6], [14], [6], [-14]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_3$, $ M_7$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_7$, $ \phi_1q_1q_2$, $ M_1M_3$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1q_2^2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$ | . | -2 | t^2.14 + t^2.15 + 2*t^3. + t^3.42 + 3*t^3.43 + t^3.86 + t^4.28 + 2*t^4.29 + t^4.71 + 4*t^5.14 + t^5.56 + 2*t^5.57 + 3*t^5.58 + 2*t^5.99 - 2*t^6. + 5*t^6.42 + t^6.43 + 2*t^6.44 + t^6.84 + t^6.85 + 4*t^6.86 + t^6.87 + t^7.28 + 3*t^7.29 + 3*t^7.71 + 3*t^7.72 + t^7.73 + 2*t^8.14 - 3*t^8.15 + 2*t^8.56 + 4*t^8.57 + 2*t^8.58 + t^8.59 + 4*t^8.99 - t^4.29/y - t^6.43/y - t^7.28/y + (2*t^7.29)/y + (5*t^8.14)/y + t^8.56/y + (3*t^8.57)/y + (3*t^8.58)/y + t^8.99/y - t^4.29*y - t^6.43*y - t^7.28*y + 2*t^7.29*y + 5*t^8.14*y + t^8.56*y + 3*t^8.57*y + 3*t^8.58*y + t^8.99*y | t^2.14/g1^6 + g1^22*t^2.15 + (2*t^3.)/g1^14 + t^3.42/g1^32 + (2*t^3.43)/g1^4 + g1^24*t^3.43 + g1^6*t^3.86 + t^4.28/g1^12 + g1^16*t^4.29 + g1^44*t^4.29 + t^4.71/g1^2 + (2*t^5.14)/g1^20 + 2*g1^8*t^5.14 + t^5.56/g1^38 + (2*t^5.57)/g1^10 + 2*g1^18*t^5.58 + g1^46*t^5.58 + (2*t^5.99)/g1^28 - 2*t^6. + (2*t^6.42)/g1^46 + (3*t^6.42)/g1^18 + g1^10*t^6.43 + g1^38*t^6.44 + g1^66*t^6.44 + t^6.84/g1^64 + t^6.85/g1^36 + (3*t^6.86)/g1^8 + g1^20*t^6.86 + g1^48*t^6.87 + t^7.28/g1^26 + g1^2*t^7.29 + 2*g1^30*t^7.29 + t^7.71/g1^44 + (2*t^7.71)/g1^16 + g1^12*t^7.72 + 2*g1^40*t^7.72 + g1^68*t^7.73 + (2*t^8.14)/g1^34 - 3*g1^22*t^8.15 + (2*t^8.56)/g1^52 + (2*t^8.57)/g1^24 + 2*g1^4*t^8.57 + g1^32*t^8.58 + g1^60*t^8.58 + g1^88*t^8.59 + t^8.99/g1^70 + (3*t^8.99)/g1^42 - (g1^2*t^4.29)/y - (g1^24*t^6.43)/y - t^7.28/(g1^12*y) + (2*g1^16*t^7.29)/y + (3*t^8.14)/(g1^20*y) + (2*g1^8*t^8.14)/y + t^8.56/(g1^38*y) + (3*t^8.57)/(g1^10*y) + (3*g1^18*t^8.58)/y + t^8.99/(g1^28*y) - g1^2*t^4.29*y - g1^24*t^6.43*y - (t^7.28*y)/g1^12 + 2*g1^16*t^7.29*y + (3*t^8.14*y)/g1^20 + 2*g1^8*t^8.14*y + (t^8.56*y)/g1^38 + (3*t^8.57*y)/g1^10 + 3*g1^18*t^8.58*y + (t^8.99*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
4391 | $M_1q_1q_2$ + $ 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.5649 | 0.7089 | 0.7968 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.09 + t^2.35 + 2*t^2.87 + t^3.13 + 2*t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 2*t^4.7 + 2*t^4.96 + 3*t^5.22 + 2*t^5.48 + 4*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | {a: 109965/194672, c: 69001/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
4394 | $M_1q_1q_2$ + $ 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6M_8$ | 0.5904 | 0.7513 | 0.7859 | [X:[], M:[0.7186, 1.1421, 0.9972, 0.7131, 1.0028, 1.2869, 0.9972, 0.7131], q:[0.9276, 0.3538], qb:[0.3593, 0.6434], phi:[0.429]] | 2*t^2.14 + t^2.16 + 2*t^2.99 + t^3.41 + 2*t^3.43 + t^3.44 + 3*t^4.28 + 2*t^4.3 + t^4.31 + t^4.71 + 4*t^5.13 + 2*t^5.15 + 2*t^5.55 + 4*t^5.57 + 3*t^5.58 + t^5.6 + 2*t^5.98 - 3*t^6. - t^4.29/y - t^4.29*y | detail | |
4392 | $M_1q_1q_2$ + $ 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.5847 | 0.7392 | 0.791 | [X:[], M:[0.6781, 1.1494, 1.023, 0.7242, 0.977, 1.2758, 1.023, 0.8045], q:[0.9368, 0.3851], qb:[0.3391, 0.6379], phi:[0.4253]] | t^2.03 + t^2.17 + t^2.41 + 2*t^3.07 + t^3.31 + 2*t^3.45 + t^3.83 + t^4.07 + t^4.21 + t^4.34 + t^4.45 + t^4.59 + t^4.72 + t^4.83 + 2*t^5.1 + 2*t^5.24 + t^5.34 + 4*t^5.48 + t^5.62 + t^5.72 + 2*t^5.86 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
4393 | $M_1q_1q_2$ + $ 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.5841 | 0.7387 | 0.7908 | [X:[], M:[0.7467, 1.137, 0.9794, 0.7055, 1.0206, 1.2945, 0.9794, 0.8218], q:[0.9212, 0.3321], qb:[0.3733, 0.6473], phi:[0.4315]] | t^2.12 + t^2.24 + t^2.47 + 2*t^2.94 + t^3.29 + 2*t^3.41 + t^3.88 + t^4.23 + t^4.36 + t^4.48 + t^4.58 + 2*t^4.71 + t^4.93 + 2*t^5.05 + 2*t^5.18 + 3*t^5.4 + 2*t^5.53 + t^5.65 + t^5.75 + 4*t^5.88 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
1328 | 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_5M_7$ | 0.6961 | 0.8501 | 0.8189 | [X:[], M:[0.9281, 1.0245, 1.0229, 0.9739, 0.9771, 1.0261, 1.0229], q:[0.5621, 0.5098], qb:[0.4641, 0.5131], phi:[0.4878]] | t^2.78 + t^2.92 + 3*t^3.07 + t^3.08 + t^3.23 + t^4.25 + t^4.38 + t^4.39 + t^4.52 + t^4.53 + 2*t^4.54 + t^4.68 + t^4.69 + t^4.84 + t^5.57 + t^5.86 + t^5.99 - 2*t^6. - t^4.46/y - t^4.46*y | detail |