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 |
---|---|---|---|---|---|---|---|---|---|
47232 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ | 0.6252 | 0.7769 | 0.8047 | [X:[], M:[1.0648, 0.7824, 1.1451, 0.7176, 1.0], q:[0.6489, 0.2863], qb:[0.5687, 0.7863], phi:[0.4275]] | [X:[], M:[[-12], [-6], [4], [6], [0]], q:[[11], [1]], qb:[[-5], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_2$, $ \phi_1^2$, $ M_5$, $ M_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_4^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^4$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_2M_5$, $ M_4q_2\tilde{q}_2$, $ M_1M_2$, $ M_5\phi_1^2$, $ M_2q_2\tilde{q}_2$, $ M_3M_4$, $ M_2M_3$ | . | -1 | t^2.15 + t^2.35 + t^2.56 + t^3. + t^3.19 + t^3.22 + t^3.44 + t^4.06 + t^4.09 + 2*t^4.31 + t^4.5 + 2*t^4.69 + t^4.72 + t^4.94 + t^5.13 + t^5.18 + 2*t^5.35 + t^5.37 + t^5.54 + 2*t^5.56 + t^5.59 + t^5.78 - t^6. + 2*t^6.22 + t^6.39 + t^6.41 + t^6.44 + 2*t^6.46 + t^6.63 + 2*t^6.65 + t^6.85 + t^6.87 + t^7.04 + t^7.09 + 2*t^7.26 + t^7.28 + t^7.31 + t^7.33 + 2*t^7.5 + 2*t^7.52 + 3*t^7.69 + t^7.72 + 2*t^7.74 + 2*t^7.89 + t^7.91 + 2*t^8.13 - 2*t^8.15 + t^8.18 - 2*t^8.35 + 2*t^8.37 + t^8.39 + t^8.54 + t^8.56 + 3*t^8.61 + t^8.74 + 2*t^8.76 + t^8.78 + t^8.81 - t^4.28/y - t^6.44/y - t^6.63/y + t^7.09/y - t^7.48/y + t^7.5/y + t^7.72/y + t^7.91/y + t^7.94/y + t^8.13/y + t^8.15/y + (2*t^8.35)/y + t^8.37/y + t^8.54/y + (2*t^8.56)/y + t^8.76/y + t^8.78/y - t^8.98/y - t^4.28*y - t^6.44*y - t^6.63*y + t^7.09*y - t^7.48*y + t^7.5*y + t^7.72*y + t^7.91*y + t^7.94*y + t^8.13*y + t^8.15*y + 2*t^8.35*y + t^8.37*y + t^8.54*y + 2*t^8.56*y + t^8.76*y + t^8.78*y - t^8.98*y | g1^6*t^2.15 + t^2.35/g1^6 + t^2.56/g1^4 + t^3. + t^3.19/g1^12 + g1^2*t^3.22 + g1^4*t^3.44 + t^4.06/g1^4 + g1^10*t^4.09 + 2*g1^12*t^4.31 + t^4.5 + (2*t^4.69)/g1^12 + g1^2*t^4.72 + g1^4*t^4.94 + t^5.13/g1^8 + g1^20*t^5.18 + (2*t^5.35)/g1^6 + g1^8*t^5.37 + t^5.54/g1^18 + (2*t^5.56)/g1^4 + g1^10*t^5.59 + t^5.78/g1^2 - t^6. + 2*g1^2*t^6.22 + t^6.39/g1^24 + t^6.41/g1^10 + g1^4*t^6.44 + 2*g1^18*t^6.46 + t^6.63/g1^8 + 2*g1^6*t^6.65 + t^6.85/g1^6 + g1^8*t^6.87 + t^7.04/g1^18 + g1^10*t^7.09 + (2*t^7.26)/g1^16 + t^7.28/g1^2 + g1^12*t^7.31 + g1^26*t^7.33 + 2*t^7.5 + 2*g1^14*t^7.52 + (3*t^7.69)/g1^12 + g1^2*t^7.72 + 2*g1^16*t^7.74 + (2*t^7.89)/g1^24 + t^7.91/g1^10 + (2*t^8.13)/g1^8 - 2*g1^6*t^8.15 + g1^20*t^8.18 - (2*t^8.35)/g1^6 + 2*g1^8*t^8.37 + g1^22*t^8.39 + t^8.54/g1^18 + t^8.56/g1^4 + 3*g1^24*t^8.61 + t^8.74/g1^30 + (2*t^8.76)/g1^16 + t^8.78/g1^2 + g1^12*t^8.81 - t^4.28/(g1^2*y) - (g1^4*t^6.44)/y - t^6.63/(g1^8*y) + (g1^10*t^7.09)/y - t^7.48/(g1^14*y) + t^7.5/y + (g1^2*t^7.72)/y + t^7.91/(g1^10*y) + (g1^4*t^7.94)/y + t^8.13/(g1^8*y) + (g1^6*t^8.15)/y + (2*t^8.35)/(g1^6*y) + (g1^8*t^8.37)/y + t^8.54/(g1^18*y) + (2*t^8.56)/(g1^4*y) + t^8.76/(g1^16*y) + t^8.78/(g1^2*y) - t^8.98/(g1^14*y) - (t^4.28*y)/g1^2 - g1^4*t^6.44*y - (t^6.63*y)/g1^8 + g1^10*t^7.09*y - (t^7.48*y)/g1^14 + t^7.5*y + g1^2*t^7.72*y + (t^7.91*y)/g1^10 + g1^4*t^7.94*y + (t^8.13*y)/g1^8 + g1^6*t^8.15*y + (2*t^8.35*y)/g1^6 + g1^8*t^8.37*y + (t^8.54*y)/g1^18 + (2*t^8.56*y)/g1^4 + (t^8.76*y)/g1^16 + (t^8.78*y)/g1^2 - (t^8.98*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|
55636 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_6q_2\tilde{q}_2$ | 0.632 | 0.7882 | 0.8018 | [X:[], M:[1.0543, 0.7772, 1.1486, 0.7228, 1.0, 0.9257], q:[0.6585, 0.2871], qb:[0.5643, 0.7871], phi:[0.4257]] | t^2.17 + t^2.33 + t^2.55 + t^2.78 + t^3. + t^3.16 + t^3.45 + t^4.05 + t^4.11 + 2*t^4.34 + t^4.5 + 2*t^4.66 + t^4.72 + 2*t^4.95 + 2*t^5.11 + t^5.23 + 3*t^5.33 + t^5.49 + 2*t^5.55 + t^5.61 + t^5.78 + t^5.94 - 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 |
---|---|---|---|---|---|---|---|---|---|
46367 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6912 | 0.864 | 0.8 | [X:[], M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]] | t^2.03 + t^2.04 + t^2.64 + t^2.93 + t^2.95 + t^3.36 + t^3.65 + t^3.67 + t^3.95 + t^4.05 + t^4.06 + 2*t^4.08 + t^4.37 + t^4.39 + t^4.67 + t^4.68 + t^4.8 + t^4.96 + 2*t^4.97 + t^4.99 + t^5.28 + t^5.39 + t^5.4 + t^5.68 + 2*t^5.69 + t^5.71 + t^5.87 + t^5.88 + t^5.9 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y | detail |