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 |
---|---|---|---|---|---|---|---|---|---|
48106 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ + $ M_3M_5$ | 0.7002 | 0.8574 | 0.8166 | [X:[], M:[0.9692, 0.9384, 1.0616, 1.0, 0.9384], q:[0.5462, 0.4846], qb:[0.577, 0.4538], phi:[0.4846]] | [X:[], M:[[2], [4], [-4], [0], [4]], q:[[-3], [1]], qb:[[-5], [3]], phi:[[1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_1M_2$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_1^2$, $ M_2M_4$, $ M_4M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_1\tilde{q}_1\tilde{q}_2$ | 2*t^2.82 + 2*t^2.91 + t^3. + t^3.09 + t^3.37 + t^4.18 + t^4.27 + t^4.36 + t^4.45 + 2*t^4.55 + t^4.64 + t^4.73 + t^4.82 + t^4.92 + 2*t^5.63 + 2*t^5.72 + 4*t^5.82 + 2*t^5.91 - t^6. - t^6.09 + t^6.18 + t^6.46 + t^6.74 + 2*t^6.99 + 3*t^7.08 + 3*t^7.18 + 3*t^7.27 + 3*t^7.36 + 3*t^7.45 + 3*t^7.55 + 2*t^7.64 + 2*t^7.73 + 2*t^7.82 + t^7.92 + t^8.1 + t^8.19 + t^8.29 + t^8.35 + 3*t^8.45 + 2*t^8.54 + 5*t^8.63 + 7*t^8.72 - 2*t^8.82 - 2*t^8.91 - t^4.45/y - t^7.27/y - (2*t^7.36)/y + (2*t^7.55)/y + t^7.64/y + t^8.63/y + (4*t^8.72)/y + (3*t^8.82)/y + (4*t^8.91)/y - t^4.45*y - t^7.27*y - 2*t^7.36*y + 2*t^7.55*y + t^7.64*y + t^8.63*y + 4*t^8.72*y + 3*t^8.82*y + 4*t^8.91*y | 2*g1^4*t^2.82 + 2*g1^2*t^2.91 + t^3. + t^3.09/g1^2 + t^3.37/g1^8 + g1^7*t^4.18 + g1^5*t^4.27 + g1^3*t^4.36 + g1*t^4.45 + (2*t^4.55)/g1 + t^4.64/g1^3 + t^4.73/g1^5 + t^4.82/g1^7 + t^4.92/g1^9 + 2*g1^8*t^5.63 + 2*g1^6*t^5.72 + 4*g1^4*t^5.82 + 2*g1^2*t^5.91 - t^6. - t^6.09/g1^2 + t^6.18/g1^4 + t^6.46/g1^10 + t^6.74/g1^16 + 2*g1^11*t^6.99 + 3*g1^9*t^7.08 + 3*g1^7*t^7.18 + 3*g1^5*t^7.27 + 3*g1^3*t^7.36 + 3*g1*t^7.45 + (3*t^7.55)/g1 + (2*t^7.64)/g1^3 + (2*t^7.73)/g1^5 + (2*t^7.82)/g1^7 + t^7.92/g1^9 + t^8.1/g1^13 + t^8.19/g1^15 + t^8.29/g1^17 + g1^14*t^8.35 + 3*g1^12*t^8.45 + 2*g1^10*t^8.54 + 5*g1^8*t^8.63 + 7*g1^6*t^8.72 - 2*g1^4*t^8.82 - 2*g1^2*t^8.91 - (g1*t^4.45)/y - (g1^5*t^7.27)/y - (2*g1^3*t^7.36)/y + (2*t^7.55)/(g1*y) + t^7.64/(g1^3*y) + (g1^8*t^8.63)/y + (4*g1^6*t^8.72)/y + (3*g1^4*t^8.82)/y + (4*g1^2*t^8.91)/y - g1*t^4.45*y - g1^5*t^7.27*y - 2*g1^3*t^7.36*y + (2*t^7.55*y)/g1 + (t^7.64*y)/g1^3 + g1^8*t^8.63*y + 4*g1^6*t^8.72*y + 3*g1^4*t^8.82*y + 4*g1^2*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
53432 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.7033 | 0.8629 | 0.815 | [X:[], M:[0.964, 0.9281, 1.0719, 1.0, 0.9281, 0.964], q:[0.554, 0.482], qb:[0.5899, 0.446], phi:[0.482]] | 2*t^2.78 + 3*t^2.89 + t^3. + t^3.43 + t^4.12 + t^4.23 + t^4.34 + t^4.45 + 2*t^4.55 + t^4.66 + t^4.77 + t^4.88 + t^4.99 + 2*t^5.57 + 4*t^5.68 + 7*t^5.78 + t^5.89 - 3*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
46720 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[0.9793, 0.9586, 1.0414, 1.0], q:[0.5311, 0.4896], qb:[0.5518, 0.4689], phi:[0.4896]] | t^2.88 + 2*t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.28 + t^4.34 + t^4.41 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.66 + t^4.72 + t^4.78 + 3*t^5.88 + t^5.94 - t^4.47/y - t^4.47*y | detail |