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 |
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2821 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ | 0.6079 | 0.7795 | 0.7799 | [X:[], M:[0.9824, 1.0528, 1.0176, 0.9472, 0.7984], q:[0.7456, 0.272], qb:[0.4912, 0.456], phi:[0.5088]] | [X:[], M:[[4], [-12], [-4], [12], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_5^2$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.18 + t^2.29 + t^2.4 + t^2.84 + 2*t^3.05 + t^3.16 + 2*t^3.71 + t^3.82 + t^4.26 + 2*t^4.37 + 2*t^4.47 + 2*t^4.58 + t^4.68 + t^4.79 + t^5.03 + t^5.13 + 3*t^5.24 + 2*t^5.34 + 2*t^5.45 + t^5.55 + t^5.68 + 2*t^5.89 + 3*t^6.11 + 3*t^6.21 + t^6.32 + t^6.45 + 3*t^6.55 + t^6.66 + 4*t^6.76 + 4*t^6.87 + 2*t^6.97 + t^7.08 + t^7.1 + t^7.19 + t^7.21 + 2*t^7.32 + 4*t^7.42 + 3*t^7.53 + 4*t^7.63 + 2*t^7.74 + 2*t^7.84 + t^7.87 + t^7.95 + 2*t^7.97 + 2*t^8.08 - t^8.18 + 2*t^8.29 + t^8.4 + 3*t^8.5 + 2*t^8.52 + 3*t^8.61 + 2*t^8.63 + t^8.71 + 4*t^8.74 + 2*t^8.95 - t^4.53/y - t^6.92/y + (2*t^7.47)/y + t^7.68/y + t^8.03/y + (2*t^8.13)/y + (3*t^8.24)/y + (3*t^8.34)/y + (3*t^8.45)/y + t^8.55/y + (4*t^8.89)/y - t^4.53*y - t^6.92*y + 2*t^7.47*y + t^7.68*y + t^8.03*y + 2*t^8.13*y + 3*t^8.24*y + 3*t^8.34*y + 3*t^8.45*y + t^8.55*y + 4*t^8.89*y | g1^5*t^2.18 + t^2.29/g1^3 + t^2.4/g1^11 + g1^12*t^2.84 + (2*t^3.05)/g1^4 + t^3.16/g1^12 + 2*g1^3*t^3.71 + t^3.82/g1^5 + g1^18*t^4.26 + 2*g1^10*t^4.37 + 2*g1^2*t^4.47 + (2*t^4.58)/g1^6 + t^4.68/g1^14 + t^4.79/g1^22 + g1^17*t^5.03 + g1^9*t^5.13 + 3*g1*t^5.24 + (2*t^5.34)/g1^7 + (2*t^5.45)/g1^15 + t^5.55/g1^23 + g1^24*t^5.68 + 2*g1^8*t^5.89 + (3*t^6.11)/g1^8 + (3*t^6.21)/g1^16 + t^6.32/g1^24 + g1^23*t^6.45 + 3*g1^15*t^6.55 + g1^7*t^6.66 + (4*t^6.76)/g1 + (4*t^6.87)/g1^9 + (2*t^6.97)/g1^17 + t^7.08/g1^25 + g1^30*t^7.1 + t^7.19/g1^33 + g1^22*t^7.21 + 2*g1^14*t^7.32 + 4*g1^6*t^7.42 + (3*t^7.53)/g1^2 + (4*t^7.63)/g1^10 + (2*t^7.74)/g1^18 + (2*t^7.84)/g1^26 + g1^29*t^7.87 + t^7.95/g1^34 + 2*g1^21*t^7.97 + 2*g1^13*t^8.08 - g1^5*t^8.18 + (2*t^8.29)/g1^3 + t^8.4/g1^11 + (3*t^8.5)/g1^19 + 2*g1^36*t^8.52 + (3*t^8.61)/g1^27 + 2*g1^28*t^8.63 + t^8.71/g1^35 + 4*g1^20*t^8.74 + 2*g1^4*t^8.95 - t^4.53/(g1^2*y) - t^6.92/(g1^13*y) + (2*g1^2*t^7.47)/y + t^7.68/(g1^14*y) + (g1^17*t^8.03)/y + (2*g1^9*t^8.13)/y + (3*g1*t^8.24)/y + (3*t^8.34)/(g1^7*y) + (3*t^8.45)/(g1^15*y) + t^8.55/(g1^23*y) + (4*g1^8*t^8.89)/y - (t^4.53*y)/g1^2 - (t^6.92*y)/g1^13 + 2*g1^2*t^7.47*y + (t^7.68*y)/g1^14 + g1^17*t^8.03*y + 2*g1^9*t^8.13*y + 3*g1*t^8.24*y + (3*t^8.34*y)/g1^7 + (3*t^8.45*y)/g1^15 + (t^8.55*y)/g1^23 + 4*g1^8*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 |
---|---|---|---|---|---|---|---|---|
3351 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6015 | 0.7727 | 0.7784 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | t^2.09 + t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + 3*t^4.7 + 2*t^4.96 + 5*t^5.22 + 2*t^5.48 + 4*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 117099/194672, c: 75213/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
3350 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6147 | 0.7919 | 0.7762 | [X:[], M:[0.9688, 1.0936, 1.0312, 0.9064, 0.8358, 0.9064], q:[0.7422, 0.289], qb:[0.4844, 0.422], phi:[0.5156]] | t^2.13 + t^2.32 + t^2.51 + 2*t^2.72 + 2*t^3.09 + 2*t^3.68 + t^3.87 + t^4.08 + 2*t^4.27 + 2*t^4.45 + 2*t^4.64 + t^4.83 + 2*t^4.85 + t^5.01 + 2*t^5.04 + 4*t^5.23 + t^5.41 + 3*t^5.44 + t^5.6 + 4*t^5.81 - t^6. - t^4.55/y - t^4.55*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 |
---|---|---|---|---|---|---|---|---|---|
1807 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ | 0.5921 | 0.7527 | 0.7867 | [X:[], M:[0.9726, 1.0823, 1.0274, 0.9177], q:[0.7431, 0.2843], qb:[0.4863, 0.4314], phi:[0.5137]] | t^2.15 + t^2.31 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.52 + 2*t^3.69 + t^3.85 + t^4.13 + 2*t^4.29 + 2*t^4.46 + t^4.62 + t^4.9 + t^5.06 + 2*t^5.23 + 2*t^5.39 + t^5.51 + t^5.67 + 3*t^5.84 - t^4.54/y - t^4.54*y | detail |