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 |
---|---|---|---|---|---|---|---|---|---|
46723 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_1^2$ + $ M_3X_1$ | 0.6018 | 0.7514 | 0.8009 | [X:[1.4255], M:[1.0, 0.6809, 0.5745, 1.2127, 0.6809], q:[0.3564, 0.6436], qb:[0.9627, 0.4627], phi:[0.3936]] | [X:[[0, 4]], M:[[0, 0], [2, -7], [0, -4], [0, 2], [-2, 1]], q:[[-1, 3], [1, -3]], qb:[[-1, 4], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ M_5$, $ q_1\tilde{q}_2$, $ M_1$, $ q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ X_1$, $ \phi_1q_2\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1^2\tilde{q}_2^2$, $ M_1M_2$, $ \phi_1q_2^2$, $ M_1M_5$, $ M_2q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_5\phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_4M_5$, $ M_5\phi_1q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_1^3\tilde{q}_2$ | . | -2 | 2*t^2.04 + t^2.46 + t^3. + 2*t^3.32 + 2*t^3.64 + 3*t^4.09 + t^4.28 + 2*t^4.5 + t^4.82 + t^4.91 + 2*t^5.04 + 3*t^5.36 + t^5.46 + 2*t^5.68 + 2*t^5.78 - 2*t^6. + 2*t^6.1 + 4*t^6.13 + 2*t^6.32 + 2*t^6.54 + 3*t^6.64 + t^6.73 + 4*t^6.96 + 3*t^7.09 - 2*t^7.18 + 2*t^7.28 + t^7.37 + 4*t^7.4 + 2*t^7.72 + 2*t^7.82 + 2*t^7.91 - 4*t^8.04 + 2*t^8.14 + 5*t^8.17 + 2*t^8.23 + 3*t^8.36 - 2*t^8.46 + 3*t^8.55 + 2*t^8.59 + 2*t^8.68 - t^4.18/y - (2*t^6.22)/y + t^7.09/y + (2*t^7.5)/y + (2*t^8.04)/y + (2*t^8.14)/y - (3*t^8.27)/y + (4*t^8.36)/y + t^8.46/y + (4*t^8.68)/y + (2*t^8.78)/y - t^4.18*y - 2*t^6.22*y + t^7.09*y + 2*t^7.5*y + 2*t^8.04*y + 2*t^8.14*y - 3*t^8.27*y + 4*t^8.36*y + t^8.46*y + 4*t^8.68*y + 2*t^8.78*y | (g1^2*t^2.04)/g2^7 + (g2*t^2.04)/g1^2 + g2^3*t^2.46 + t^3. + (g1^2*t^3.32)/g2^3 + (g2^5*t^3.32)/g1^2 + 2*g2^2*t^3.64 + (g1^4*t^4.09)/g2^14 + t^4.09/g2^6 + (g2^2*t^4.09)/g1^4 + g2^4*t^4.28 + (g1^2*t^4.5)/g2^4 + (g2^4*t^4.5)/g1^2 + g2*t^4.82 + g2^6*t^4.91 + (g1^2*t^5.04)/g2^7 + (g2*t^5.04)/g1^2 + (g1^4*t^5.36)/g2^10 + t^5.36/g2^2 + (g2^6*t^5.36)/g1^4 + g2^3*t^5.46 + (g1^2*t^5.68)/g2^5 + (g2^3*t^5.68)/g1^2 + g1^2*t^5.78 + (g2^8*t^5.78)/g1^2 - 2*t^6. + 2*g2^5*t^6.1 + (g1^6*t^6.13)/g2^21 + (g1^2*t^6.13)/g2^13 + t^6.13/(g1^2*g2^5) + (g2^3*t^6.13)/g1^6 + (g1^2*t^6.32)/g2^3 + (g2^5*t^6.32)/g1^2 + (g1^4*t^6.54)/g2^11 + (g2^5*t^6.54)/g1^4 + (g1^4*t^6.64)/g2^6 + g2^2*t^6.64 + (g2^10*t^6.64)/g1^4 + g2^7*t^6.73 + (2*g1^2*t^6.96)/g2 + (2*g2^7*t^6.96)/g1^2 + (g1^4*t^7.09)/g2^14 + t^7.09/g2^6 + (g2^2*t^7.09)/g1^4 - (2*t^7.18)/g2 + 2*g2^4*t^7.28 + g2^9*t^7.37 + (g1^6*t^7.4)/g2^17 + (g1^2*t^7.4)/g2^9 + t^7.4/(g1^2*g2) + (g2^7*t^7.4)/g1^6 + (g1^4*t^7.72)/g2^12 + (g2^4*t^7.72)/g1^4 + (g1^4*t^7.82)/g2^7 + (g2^9*t^7.82)/g1^4 + 2*g2^6*t^7.91 - (2*g1^2*t^8.04)/g2^7 - (2*g2*t^8.04)/g1^2 + (g1^2*t^8.14)/g2^2 + (g2^6*t^8.14)/g1^2 + (g1^8*t^8.17)/g2^28 + (g1^4*t^8.17)/g2^20 + t^8.17/g2^12 + t^8.17/(g1^4*g2^4) + (g2^4*t^8.17)/g1^8 + g1^2*g2^3*t^8.23 + (g2^11*t^8.23)/g1^2 + (g1^4*t^8.36)/g2^10 + t^8.36/g2^2 + (g2^6*t^8.36)/g1^4 - 2*g2^3*t^8.46 + 3*g2^8*t^8.55 + (g1^6*t^8.59)/g2^18 + (g2^6*t^8.59)/g1^6 + (g1^6*t^8.68)/g2^13 + (g2^11*t^8.68)/g1^6 - t^4.18/(g2*y) - t^6.22/(g1^2*y) - (g1^2*t^6.22)/(g2^8*y) + t^7.09/(g2^6*y) + (g1^2*t^7.5)/(g2^4*y) + (g2^4*t^7.5)/(g1^2*y) + (g1^2*t^8.04)/(g2^7*y) + (g2*t^8.04)/(g1^2*y) + (g1^2*t^8.14)/(g2^2*y) + (g2^6*t^8.14)/(g1^2*y) - (g1^4*t^8.27)/(g2^15*y) - t^8.27/(g2^7*y) - (g2*t^8.27)/(g1^4*y) + (g1^4*t^8.36)/(g2^10*y) + (2*t^8.36)/(g2^2*y) + (g2^6*t^8.36)/(g1^4*y) + (g2^3*t^8.46)/y + (2*g1^2*t^8.68)/(g2^5*y) + (2*g2^3*t^8.68)/(g1^2*y) + (g1^2*t^8.78)/y + (g2^8*t^8.78)/(g1^2*y) - (t^4.18*y)/g2 - (t^6.22*y)/g1^2 - (g1^2*t^6.22*y)/g2^8 + (t^7.09*y)/g2^6 + (g1^2*t^7.5*y)/g2^4 + (g2^4*t^7.5*y)/g1^2 + (g1^2*t^8.04*y)/g2^7 + (g2*t^8.04*y)/g1^2 + (g1^2*t^8.14*y)/g2^2 + (g2^6*t^8.14*y)/g1^2 - (g1^4*t^8.27*y)/g2^15 - (t^8.27*y)/g2^7 - (g2*t^8.27*y)/g1^4 + (g1^4*t^8.36*y)/g2^10 + (2*t^8.36*y)/g2^2 + (g2^6*t^8.36*y)/g1^4 + g2^3*t^8.46*y + (2*g1^2*t^8.68*y)/g2^5 + (2*g2^3*t^8.68*y)/g1^2 + g1^2*t^8.78*y + (g2^8*t^8.78*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
48286 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_1^2$ + $ M_3X_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_5X_2$ | 0.5791 | 0.7041 | 0.8225 | [X:[1.4709, 1.3823], M:[1.0, 0.676, 0.5291, 1.2354, 0.6177], q:[0.3532, 0.6468], qb:[0.9709, 0.5], phi:[0.3823]] | t^2.03 + t^2.56 + t^3. + t^3.27 + t^3.44 + 2*t^3.71 + t^4.06 + t^4.15 + t^4.41 + t^4.59 + t^4.85 + t^5.03 + t^5.12 + t^5.47 + t^5.73 + t^5.83 - t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
46234 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6689 | 0.8351 | 0.801 | [X:[], M:[0.7072, 0.6951, 0.6911, 1.3008, 0.6951], q:[0.4736, 0.8192], qb:[0.8313, 0.4776], phi:[0.3496]] | t^2.07 + 2*t^2.09 + t^2.12 + t^2.85 + 2*t^3.89 + 2*t^3.9 + t^4.15 + 2*t^4.16 + 3*t^4.17 + t^4.2 + 2*t^4.21 + t^4.24 + t^4.93 + 2*t^4.94 + t^4.95 + t^4.98 + t^5.71 + 2*t^5.96 + 5*t^5.98 + 2*t^5.99 - 3*t^6. - t^4.05/y - t^4.05*y | detail |