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 |
---|---|---|---|---|---|---|---|---|---|
46213 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1q_1\tilde{q}_2^3$ + $ M_3\phi_1q_1^2$ | 0.5415 | 0.6866 | 0.7886 | [X:[], M:[0.6781, 1.1494, 0.977], q:[0.2989, 1.023], qb:[0.5517, 0.4253], phi:[0.4253]] | [X:[], M:[[11], [-2], [7]], q:[[-4], [-7]], qb:[[6], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_3$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_1M_2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1^3q_1\tilde{q}_2$ | -1 | t^2.03 + t^2.17 + t^2.55 + 2*t^2.93 + 2*t^3.45 + t^3.83 + t^4.07 + t^4.21 + 2*t^4.34 + t^4.59 + 2*t^4.72 + 2*t^4.97 + 2*t^5.1 + 3*t^5.48 + t^5.62 + 4*t^5.86 - t^6. + t^6.1 + t^6.24 + 4*t^6.38 + t^6.62 + 3*t^6.76 + t^6.9 + 2*t^7. + 2*t^7.14 + 3*t^7.28 - t^7.41 + 3*t^7.52 + 3*t^7.66 + 4*t^7.9 + t^8.03 + t^8.14 - 2*t^8.17 + t^8.28 + 5*t^8.41 - t^8.55 + t^8.65 + 7*t^8.79 - 4*t^8.93 - t^4.28/y - t^6.31/y + t^7.34/y + t^7.59/y + t^7.72/y + (2*t^7.97)/y + (2*t^8.1)/y + t^8.24/y - t^8.34/y + (4*t^8.48)/y + (2*t^8.62)/y + (2*t^8.86)/y - t^4.28*y - t^6.31*y + t^7.34*y + t^7.59*y + t^7.72*y + 2*t^7.97*y + 2*t^8.1*y + t^8.24*y - t^8.34*y + 4*t^8.48*y + 2*t^8.62*y + 2*t^8.86*y | g1^11*t^2.03 + t^2.17/g1^3 + g1^2*t^2.55 + 2*g1^7*t^2.93 + (2*t^3.45)/g1^2 + g1^3*t^3.83 + g1^22*t^4.07 + g1^8*t^4.21 + (2*t^4.34)/g1^6 + g1^13*t^4.59 + (2*t^4.72)/g1 + 2*g1^18*t^4.97 + 2*g1^4*t^5.1 + 3*g1^9*t^5.48 + t^5.62/g1^5 + 4*g1^14*t^5.86 - t^6. + g1^33*t^6.1 + g1^19*t^6.24 + 4*g1^5*t^6.38 + g1^24*t^6.62 + 3*g1^10*t^6.76 + t^6.9/g1^4 + 2*g1^29*t^7. + 2*g1^15*t^7.14 + 3*g1*t^7.28 - t^7.41/g1^13 + 3*g1^20*t^7.52 + 3*g1^6*t^7.66 + 4*g1^25*t^7.9 + g1^11*t^8.03 + g1^44*t^8.14 - (2*t^8.17)/g1^3 + g1^30*t^8.28 + 5*g1^16*t^8.41 - g1^2*t^8.55 + g1^35*t^8.65 + 7*g1^21*t^8.79 - 4*g1^7*t^8.93 - (g1*t^4.28)/y - (g1^12*t^6.31)/y + t^7.34/(g1^6*y) + (g1^13*t^7.59)/y + t^7.72/(g1*y) + (2*g1^18*t^7.97)/y + (2*g1^4*t^8.1)/y + t^8.24/(g1^10*y) - (g1^23*t^8.34)/y + (4*g1^9*t^8.48)/y + (2*t^8.62)/(g1^5*y) + (2*g1^14*t^8.86)/y - g1*t^4.28*y - g1^12*t^6.31*y + (t^7.34*y)/g1^6 + g1^13*t^7.59*y + (t^7.72*y)/g1 + 2*g1^18*t^7.97*y + 2*g1^4*t^8.1*y + (t^8.24*y)/g1^10 - g1^23*t^8.34*y + 4*g1^9*t^8.48*y + (2*t^8.62*y)/g1^5 + 2*g1^14*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 |
---|---|---|---|---|---|---|---|---|
46783 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1q_1\tilde{q}_2^3$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.5615 | 0.7236 | 0.776 | [X:[], M:[0.6841, 1.1484, 0.9808, 0.7225], q:[0.2967, 1.0192], qb:[0.5549, 0.4258], phi:[0.4258]] | t^2.05 + 2*t^2.17 + t^2.55 + 2*t^2.94 + 2*t^3.45 + t^4.1 + 2*t^4.22 + 4*t^4.34 + t^4.61 + 3*t^4.72 + 2*t^4.99 + 4*t^5.11 + 3*t^5.5 + 3*t^5.61 + 3*t^5.88 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
46061 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1q_1\tilde{q}_2^3$ | 0.5407 | 0.6833 | 0.7913 | [X:[], M:[0.7245, 1.141], q:[0.282, 0.9935], qb:[0.577, 0.4295], phi:[0.4295]] | t^2.13 + t^2.17 + t^2.58 + t^2.98 + t^3.02 + 2*t^3.42 + t^3.87 + 2*t^4.27 + t^4.31 + t^4.35 + 2*t^4.71 + t^4.75 + t^5.11 + 2*t^5.15 + t^5.19 + 2*t^5.56 + 2*t^5.6 + t^5.96 - t^4.29/y - t^4.29*y | detail |