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 |
---|---|---|---|---|---|---|---|---|---|
917 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_2M_3$ | 0.702 | 0.8612 | 0.8151 | [X:[], M:[1.0, 0.937, 1.063, 0.874, 1.0], q:[0.4685, 0.5315], qb:[0.4685, 0.5945], phi:[0.4843]] | [X:[], M:[[0], [-4], [4], [-8], [0]], q:[[-2], [2]], qb:[[-2], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_2M_5$, $ \phi_1^4$, $ M_4q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$ | $M_1M_5$ | -1 | t^2.62 + t^2.81 + t^2.91 + 2*t^3. + 2*t^3.19 + 3*t^4.26 + 2*t^4.45 + 3*t^4.64 + t^4.83 + t^5.02 + t^5.24 + t^5.43 + t^5.53 + t^5.62 + t^5.72 + 2*t^5.81 + 2*t^5.91 - t^6. + 2*t^6.09 + t^6.38 + 3*t^6.89 + 3*t^7.07 + 3*t^7.17 + 6*t^7.26 - t^7.36 + 6*t^7.45 + t^7.55 + 4*t^7.64 - 2*t^7.74 + 4*t^7.83 + t^7.87 + 2*t^8.02 + t^8.06 - t^8.11 + t^8.15 + 2*t^8.21 + t^8.24 + t^8.34 + 2*t^8.43 + 6*t^8.53 - 3*t^8.62 + 6*t^8.72 - 5*t^8.81 + 6*t^8.91 - t^4.45/y - t^7.07/y - t^7.36/y + t^7.55/y + t^7.83/y + t^8.43/y + t^8.53/y + (2*t^8.62)/y + t^8.72/y + (4*t^8.81)/y + (2*t^8.91)/y - t^4.45*y - t^7.07*y - t^7.36*y + t^7.55*y + t^7.83*y + t^8.43*y + t^8.53*y + 2*t^8.62*y + t^8.72*y + 4*t^8.81*y + 2*t^8.91*y | t^2.62/g1^8 + t^2.81/g1^4 + t^2.91/g1^2 + 2*t^3. + 2*g1^4*t^3.19 + (3*t^4.26)/g1^5 + (2*t^4.45)/g1 + 3*g1^3*t^4.64 + g1^7*t^4.83 + g1^11*t^5.02 + t^5.24/g1^16 + t^5.43/g1^12 + t^5.53/g1^10 + t^5.62/g1^8 + t^5.72/g1^6 + (2*t^5.81)/g1^4 + (2*t^5.91)/g1^2 - t^6. + 2*g1^2*t^6.09 + g1^8*t^6.38 + (3*t^6.89)/g1^13 + (3*t^7.07)/g1^9 + (3*t^7.17)/g1^7 + (6*t^7.26)/g1^5 - t^7.36/g1^3 + (6*t^7.45)/g1 + g1*t^7.55 + 4*g1^3*t^7.64 - 2*g1^5*t^7.74 + 4*g1^7*t^7.83 + t^7.87/g1^24 + 2*g1^11*t^8.02 + t^8.06/g1^20 - g1^13*t^8.11 + t^8.15/g1^18 + 2*g1^15*t^8.21 + t^8.24/g1^16 + t^8.34/g1^14 + (2*t^8.43)/g1^12 + (6*t^8.53)/g1^10 - (3*t^8.62)/g1^8 + (6*t^8.72)/g1^6 - (5*t^8.81)/g1^4 + (6*t^8.91)/g1^2 - t^4.45/(g1*y) - t^7.07/(g1^9*y) - t^7.36/(g1^3*y) + (g1*t^7.55)/y + (g1^7*t^7.83)/y + t^8.43/(g1^12*y) + t^8.53/(g1^10*y) + (2*t^8.62)/(g1^8*y) + t^8.72/(g1^6*y) + (4*t^8.81)/(g1^4*y) + (2*t^8.91)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.07*y)/g1^9 - (t^7.36*y)/g1^3 + g1*t^7.55*y + g1^7*t^7.83*y + (t^8.43*y)/g1^12 + (t^8.53*y)/g1^10 + (2*t^8.62*y)/g1^8 + (t^8.72*y)/g1^6 + (4*t^8.81*y)/g1^4 + (2*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
1405 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_2M_3$ + $ M_2M_6$ | 0.6969 | 0.8525 | 0.8175 | [X:[], M:[1.0, 0.9542, 1.0458, 0.9083, 1.0, 1.0458], q:[0.4771, 0.5229], qb:[0.4771, 0.5687], phi:[0.4885]] | t^2.73 + t^2.93 + 2*t^3. + 3*t^3.14 + 3*t^4.33 + 2*t^4.47 + 3*t^4.6 + t^4.74 + t^4.88 + t^5.45 + t^5.66 + t^5.86 + 2*t^5.93 - 3*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
588 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ | 0.7293 | 0.896 | 0.8139 | [X:[], M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.33 + t^2.63 + t^2.66 + t^2.7 + 2*t^3. + t^3.67 + t^4.03 + 2*t^4.33 + 3*t^4.63 + t^4.66 + t^4.7 + t^4.96 + t^4.99 + 2*t^5. + t^5.03 + t^5.26 + t^5.3 + 3*t^5.33 + t^5.36 + t^5.37 + t^5.4 + 2*t^5.66 - 2*t^6. - t^4.33/y - t^4.33*y | detail |