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 |
---|---|---|---|---|---|---|---|---|---|
1244 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ + $ M_5M_6$ | 0.5757 | 0.7202 | 0.7994 | [X:[1.4706], M:[0.9059, 0.5294, 1.0, 0.8118, 1.0941, 0.9059], q:[0.8441, 0.75], qb:[0.25, 0.5323], phi:[0.4059]] | [X:[[5]], M:[[-1], [-5], [0], [-2], [1], [-1]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_6$, $ M_3$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ X_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_1M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_3M_6$ | . | -2 | t^2.35 + 2*t^2.44 + 2*t^2.72 + t^3. + t^3.85 + t^4.13 + t^4.41 + t^4.69 + 3*t^4.78 + 3*t^4.87 + 2*t^5.06 + 3*t^5.15 + t^5.35 + 4*t^5.44 + t^5.72 - 2*t^6. + t^6.19 - t^6.37 + t^6.48 + 2*t^6.56 - t^6.65 + t^6.76 + 3*t^6.85 - t^6.94 + t^7.04 + 3*t^7.13 + 3*t^7.22 + 4*t^7.31 + 2*t^7.41 + 3*t^7.5 + 4*t^7.59 + t^7.69 + 3*t^7.78 + 5*t^7.87 - t^8.06 + 3*t^8.15 + 2*t^8.26 - 4*t^8.35 - 3*t^8.44 + 2*t^8.54 - 5*t^8.72 - t^8.81 + 2*t^8.82 + 2*t^8.91 - t^4.22/y - (2*t^6.65)/y - t^6.94/y + t^7.5/y + (4*t^7.78)/y + t^7.87/y + (2*t^8.06)/y + (4*t^8.15)/y + t^8.35/y + (3*t^8.44)/y + (2*t^8.72)/y - t^4.22*y - 2*t^6.65*y - t^6.94*y + t^7.5*y + 4*t^7.78*y + t^7.87*y + 2*t^8.06*y + 4*t^8.15*y + t^8.35*y + 3*t^8.44*y + 2*t^8.72*y | g1^3*t^2.35 + (2*t^2.44)/g1^2 + (2*t^2.72)/g1 + t^3. + g1^3*t^3.85 + g1^4*t^4.13 + g1^5*t^4.41 + g1^6*t^4.69 + 3*g1*t^4.78 + (3*t^4.87)/g1^4 + 2*g1^2*t^5.06 + (3*t^5.15)/g1^3 + g1^3*t^5.35 + (4*t^5.44)/g1^2 + t^5.72/g1 - 2*t^6. + g1^6*t^6.19 - t^6.37/g1^4 + g1^7*t^6.48 + 2*g1^2*t^6.56 - t^6.65/g1^3 + g1^8*t^6.76 + 3*g1^3*t^6.85 - t^6.94/g1^2 + g1^9*t^7.04 + 3*g1^4*t^7.13 + (3*t^7.22)/g1 + (4*t^7.31)/g1^6 + 2*g1^5*t^7.41 + 3*t^7.5 + (4*t^7.59)/g1^5 + g1^6*t^7.69 + 3*g1*t^7.78 + (5*t^7.87)/g1^4 - g1^2*t^8.06 + (3*t^8.15)/g1^3 + 2*g1^8*t^8.26 - 4*g1^3*t^8.35 - (3*t^8.44)/g1^2 + 2*g1^9*t^8.54 - (5*t^8.72)/g1 - t^8.81/g1^6 + 2*g1^10*t^8.82 + 2*g1^5*t^8.91 - t^4.22/(g1*y) - (2*t^6.65)/(g1^3*y) - t^6.94/(g1^2*y) + t^7.5/y + (4*g1*t^7.78)/y + t^7.87/(g1^4*y) + (2*g1^2*t^8.06)/y + (4*t^8.15)/(g1^3*y) + (g1^3*t^8.35)/y + (3*t^8.44)/(g1^2*y) + (2*t^8.72)/(g1*y) - (t^4.22*y)/g1 - (2*t^6.65*y)/g1^3 - (t^6.94*y)/g1^2 + t^7.5*y + 4*g1*t^7.78*y + (t^7.87*y)/g1^4 + 2*g1^2*t^8.06*y + (4*t^8.15*y)/g1^3 + g1^3*t^8.35*y + (3*t^8.44*y)/g1^2 + (2*t^8.72*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
2314 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ + $ M_5M_6$ + $ M_7q_2\tilde{q}_2$ | 0.5959 | 0.7583 | 0.7859 | [X:[1.4875], M:[0.9025, 0.5125, 1.0, 0.805, 1.0975, 0.9025, 0.7075], q:[0.8475, 0.75], qb:[0.25, 0.5425], phi:[0.4025]] | t^2.12 + t^2.38 + 2*t^2.41 + 2*t^2.71 + t^3. + t^4.17 + t^4.24 + t^4.46 + t^4.5 + 2*t^4.54 + t^4.76 + 3*t^4.79 + 5*t^4.83 + 2*t^5.09 + 4*t^5.12 + t^5.38 + 4*t^5.41 + t^5.71 - 2*t^6. - t^4.21/y - t^4.21*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 |
---|---|---|---|---|---|---|---|---|---|
761 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ | 0.5673 | 0.7067 | 0.8027 | [X:[1.4481], M:[0.9104, 0.5519, 1.0, 0.8208, 1.0896], q:[0.8396, 0.75], qb:[0.25, 0.5188], phi:[0.4104]] | t^2.31 + 2*t^2.46 + t^2.73 + t^3. + t^3.27 + t^3.81 + t^4.08 + t^4.34 + t^4.61 + 3*t^4.77 + 3*t^4.92 + t^5.04 + t^5.19 + t^5.31 + 2*t^5.46 + t^5.58 + 2*t^5.73 - t^6. - t^4.23/y - t^4.23*y | detail |