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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3266 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_5$ | 0.604 | 0.7795 | 0.7748 | [X:[], M:[0.9521, 1.1437, 0.7155, 0.8563, 1.1437], q:[0.738, 0.3099], qb:[0.4507, 0.4056], phi:[0.5239]] | [X:[], M:[[-4], [12], [18], [-12], [12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_3$, $ M_3M_5$, $ M_3\phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_3q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -2 | 2*t^2.15 + t^2.28 + t^2.86 + t^3.14 + 3*t^3.43 + t^3.57 + t^3.72 + t^4.01 + t^4.14 + t^4.28 + 3*t^4.29 + 2*t^4.43 + t^4.56 + 2*t^5. + t^5.14 + 2*t^5.29 + t^5.43 + 5*t^5.58 + 4*t^5.71 + t^5.85 + t^5.86 - 2*t^6. - t^6.14 + 2*t^6.15 + 3*t^6.29 + 2*t^6.42 + 4*t^6.44 + t^6.56 + 5*t^6.57 + t^6.71 + t^6.84 + 5*t^6.86 + t^7. + t^7.13 + 5*t^7.15 + t^7.42 + 5*t^7.44 + t^7.57 + 2*t^7.71 + 8*t^7.72 + t^7.84 + 4*t^7.86 + 2*t^7.99 + 2*t^8.01 + t^8.13 - 4*t^8.15 - 3*t^8.28 + 3*t^8.3 + 4*t^8.43 + t^8.55 + 3*t^8.57 + 5*t^8.59 + 2*t^8.7 + 6*t^8.72 + t^8.84 - t^8.86 - t^4.57/y - t^6.72/y + t^7.14/y + t^7.29/y + (2*t^7.43)/y + t^8./y + t^8.14/y + (2*t^8.29)/y + (2*t^8.43)/y + (6*t^8.58)/y + (5*t^8.71)/y + t^8.85/y + t^8.86/y - t^4.57*y - t^6.72*y + t^7.14*y + t^7.29*y + 2*t^7.43*y + t^8.*y + t^8.14*y + 2*t^8.29*y + 2*t^8.43*y + 6*t^8.58*y + 5*t^8.71*y + t^8.85*y + t^8.86*y | 2*g1^18*t^2.15 + t^2.28/g1^20 + t^2.86/g1^4 + g1^4*t^3.14 + 3*g1^12*t^3.43 + t^3.57/g1^26 + g1^20*t^3.72 + g1^28*t^4.01 + t^4.14/g1^10 + t^4.28/g1^48 + 3*g1^36*t^4.29 + (2*t^4.43)/g1^2 + t^4.56/g1^40 + 2*g1^14*t^5. + t^5.14/g1^24 + 2*g1^22*t^5.29 + t^5.43/g1^16 + 5*g1^30*t^5.58 + (4*t^5.71)/g1^8 + t^5.85/g1^46 + g1^38*t^5.86 - 2*t^6. - t^6.14/g1^38 + 2*g1^46*t^6.15 + 3*g1^8*t^6.29 + (2*t^6.42)/g1^30 + 4*g1^54*t^6.44 + t^6.56/g1^68 + 5*g1^16*t^6.57 + t^6.71/g1^22 + t^6.84/g1^60 + 5*g1^24*t^6.86 + t^7./g1^14 + t^7.13/g1^52 + 5*g1^32*t^7.15 + t^7.42/g1^44 + 5*g1^40*t^7.44 + g1^2*t^7.57 + (2*t^7.71)/g1^36 + 8*g1^48*t^7.72 + t^7.84/g1^74 + 4*g1^10*t^7.86 + (2*t^7.99)/g1^28 + 2*g1^56*t^8.01 + t^8.13/g1^66 - 4*g1^18*t^8.15 - (3*t^8.28)/g1^20 + 3*g1^64*t^8.3 + 4*g1^26*t^8.43 + t^8.55/g1^96 + (3*t^8.57)/g1^12 + 5*g1^72*t^8.59 + (2*t^8.7)/g1^50 + 6*g1^34*t^8.72 + t^8.84/g1^88 - t^8.86/g1^4 - (g1^2*t^4.57)/y - (g1^20*t^6.72)/y + t^7.14/(g1^10*y) + (g1^36*t^7.29)/y + (2*t^7.43)/(g1^2*y) + (g1^14*t^8.)/y + t^8.14/(g1^24*y) + (2*g1^22*t^8.29)/y + (2*t^8.43)/(g1^16*y) + (6*g1^30*t^8.58)/y + (5*t^8.71)/(g1^8*y) + t^8.85/(g1^46*y) + (g1^38*t^8.86)/y - g1^2*t^4.57*y - g1^20*t^6.72*y + (t^7.14*y)/g1^10 + g1^36*t^7.29*y + (2*t^7.43*y)/g1^2 + g1^14*t^8.*y + (t^8.14*y)/g1^24 + 2*g1^22*t^8.29*y + (2*t^8.43*y)/g1^16 + 6*g1^30*t^8.58*y + (5*t^8.71*y)/g1^8 + (t^8.85*y)/g1^46 + g1^38*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
3687 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6205 | 0.8101 | 0.766 | [X:[], M:[0.9556, 1.1332, 0.6998, 0.8668, 1.1332, 0.7887], q:[0.7389, 0.3055], qb:[0.4724, 0.3943], phi:[0.5222]] | 2*t^2.1 + t^2.33 + t^2.37 + t^2.87 + t^3.13 + 3*t^3.4 + t^3.67 + t^3.93 + t^4.17 + 3*t^4.2 + t^4.4 + 2*t^4.43 + 2*t^4.47 + t^4.67 + t^4.7 + t^4.73 + 2*t^4.97 + t^5.2 + 3*t^5.23 + t^5.47 + 6*t^5.5 + 2*t^5.73 + 4*t^5.77 - 2*t^6. - t^4.57/y - t^4.57*y | detail | |
3692 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_5$ + $ q_1q_2\tilde{q}_1^2$ | 0.603 | 0.7796 | 0.7734 | [X:[], M:[0.9565, 1.1304, 0.6957, 0.8696, 1.1304], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.09 + t^2.35 + t^2.87 + t^3.13 + 3*t^3.39 + 2*t^3.65 + t^3.91 + 4*t^4.17 + 3*t^4.43 + t^4.7 + 2*t^4.96 + 3*t^5.22 + 6*t^5.48 + 5*t^5.74 + t^6. - t^4.57/y - t^4.57*y | detail | {a: 117381/194672, c: 75883/97336, M1: 22/23, M2: 26/23, M3: 16/23, M4: 20/23, M5: 26/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
2753 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_4$ | 0.6169 | 0.8012 | 0.7699 | [X:[], M:[0.95, 1.15, 0.725, 0.85], q:[0.7375, 0.3125], qb:[0.4375, 0.4125], phi:[0.525]] | 2*t^2.18 + t^2.25 + t^2.55 + t^2.85 + t^3.15 + 2*t^3.45 + t^3.52 + t^3.75 + t^4.05 + t^4.12 + t^4.2 + 3*t^4.35 + 2*t^4.42 + t^4.5 + 2*t^4.73 + t^4.8 + 2*t^5.03 + 2*t^5.1 + 2*t^5.33 + 2*t^5.4 + 3*t^5.63 + 4*t^5.7 + t^5.77 + t^5.93 - t^4.58/y - t^4.58*y | detail |