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 |
---|---|---|---|---|---|---|---|---|---|
4401 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1q_1^2$ | 0.5864 | 0.7409 | 0.7914 | [X:[], M:[1.0, 1.0109, 0.9781, 1.2527, 0.7254, 0.7473, 1.2746, 1.0109], q:[0.2473, 0.7527], qb:[0.5, 0.5219], phi:[0.4945]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [9], [4]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ q_1\tilde{q}_2$, $ M_3$, $ M_1$, $ M_2$, $ M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_7$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ M_3^2$, $ M_2M_3$, $ M_3M_8$, $ M_6\phi_1q_1\tilde{q}_1$ | . | -2 | t^2.24 + t^2.31 + t^2.93 + t^3. + 2*t^3.03 + t^3.73 + t^3.76 + t^3.79 + t^3.82 + 2*t^4.48 + 2*t^4.55 + 2*t^4.61 + t^5.24 + 2*t^5.27 + t^5.31 + 2*t^5.34 + t^5.87 + 2*t^5.97 - 2*t^6. + 3*t^6.03 + 3*t^6.07 + t^6.1 + t^6.13 + t^6.73 + t^6.76 + 3*t^6.79 + t^6.82 + 4*t^6.86 + 2*t^6.92 + 2*t^7.52 + 2*t^7.55 + 4*t^7.58 + 2*t^7.61 + 4*t^7.65 - t^8.18 + t^8.21 - 3*t^8.24 + 2*t^8.27 + 3*t^8.34 + 4*t^8.37 + 2*t^8.41 + 2*t^8.44 + t^8.8 + t^8.87 + t^8.9 - 3*t^8.93 - t^4.48/y - t^7.42/y + t^7.45/y - t^7.52/y + (2*t^7.55)/y + t^8.18/y + (2*t^8.24)/y + (2*t^8.27)/y + t^8.31/y + (2*t^8.34)/y + t^8.93/y + (3*t^8.97)/y - t^4.48*y - t^7.42*y + t^7.45*y - t^7.52*y + 2*t^7.55*y + t^8.18*y + 2*t^8.24*y + 2*t^8.27*y + t^8.31*y + 2*t^8.34*y + t^8.93*y + 3*t^8.97*y | t^2.24/g1 + g1^7*t^2.31 + t^2.93/g1^8 + t^3. + 2*g1^4*t^3.03 + t^3.73/g1^3 + g1*t^3.76 + g1^5*t^3.79 + g1^9*t^3.82 + (2*t^4.48)/g1^2 + 2*g1^6*t^4.55 + 2*g1^14*t^4.61 + t^5.24/g1 + 2*g1^3*t^5.27 + g1^7*t^5.31 + 2*g1^11*t^5.34 + t^5.87/g1^16 + (2*t^5.97)/g1^4 - 2*t^6. + 3*g1^4*t^6.03 + 3*g1^8*t^6.07 + g1^12*t^6.1 + g1^16*t^6.13 + t^6.73/g1^3 + g1*t^6.76 + 3*g1^5*t^6.79 + g1^9*t^6.82 + 4*g1^13*t^6.86 + 2*g1^21*t^6.92 + 2*g1^2*t^7.52 + 2*g1^6*t^7.55 + 4*g1^10*t^7.58 + 2*g1^14*t^7.61 + 4*g1^18*t^7.65 - t^8.18/g1^9 + t^8.21/g1^5 - (3*t^8.24)/g1 + 2*g1^3*t^8.27 + 3*g1^11*t^8.34 + 4*g1^15*t^8.37 + 2*g1^19*t^8.41 + 2*g1^23*t^8.44 + t^8.8/g1^24 + t^8.87/g1^16 + t^8.9/g1^12 - (3*t^8.93)/g1^8 - t^4.48/(g1^2*y) - t^7.42/(g1^10*y) + t^7.45/(g1^6*y) - (g1^2*t^7.52)/y + (2*g1^6*t^7.55)/y + t^8.18/(g1^9*y) + (2*t^8.24)/(g1*y) + (2*g1^3*t^8.27)/y + (g1^7*t^8.31)/y + (2*g1^11*t^8.34)/y + t^8.93/(g1^8*y) + (3*t^8.97)/(g1^4*y) - (t^4.48*y)/g1^2 - (t^7.42*y)/g1^10 + (t^7.45*y)/g1^6 - g1^2*t^7.52*y + 2*g1^6*t^7.55*y + (t^8.18*y)/g1^9 + (2*t^8.24*y)/g1 + 2*g1^3*t^8.27*y + g1^7*t^8.31*y + 2*g1^11*t^8.34*y + (t^8.93*y)/g1^8 + (3*t^8.97*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
5898 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1q_1^2$ + $ M_4M_9$ | 0.6055 | 0.7757 | 0.7806 | [X:[], M:[1.0, 1.0123, 0.9755, 1.2531, 0.7224, 0.7469, 1.2776, 1.0123, 0.7469], q:[0.2469, 0.7531], qb:[0.5, 0.5245], phi:[0.4939]] | 2*t^2.24 + t^2.31 + t^2.93 + t^3. + 2*t^3.04 + t^3.72 + t^3.8 + t^3.83 + 4*t^4.48 + 3*t^4.56 + 2*t^4.63 + t^5.17 + 2*t^5.24 + 4*t^5.28 + t^5.31 + 2*t^5.35 + t^5.85 + 3*t^5.96 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
5897 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.6051 | 0.7757 | 0.7801 | [X:[], M:[1.0, 1.0066, 0.9868, 1.2516, 0.7352, 0.7484, 1.2648, 1.0066, 0.7549], q:[0.2484, 0.7516], qb:[0.5, 0.5132], phi:[0.4967]] | t^2.25 + t^2.26 + t^2.28 + t^2.96 + t^3. + 2*t^3.02 + t^3.75 + t^3.77 + t^3.79 + 2*t^4.49 + t^4.51 + 3*t^4.53 + t^4.55 + 2*t^4.57 + t^5.23 + t^5.25 + 3*t^5.26 + 3*t^5.28 + 2*t^5.3 + t^5.92 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
5899 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1q_1\tilde{q}_2$ | 0.6061 | 0.7767 | 0.7803 | [X:[], M:[1.0, 1.0164, 0.9673, 1.2541, 0.7132, 0.7459, 1.2868, 1.0164, 0.7295], q:[0.2459, 0.7541], qb:[0.5, 0.5327], phi:[0.4918]] | t^2.19 + t^2.24 + t^2.34 + t^2.9 + t^3. + 2*t^3.05 + t^3.71 + t^3.76 + t^3.86 + t^4.38 + t^4.43 + 2*t^4.48 + t^4.52 + 2*t^4.57 + 2*t^4.67 + t^5.09 + t^5.19 + 3*t^5.24 + 2*t^5.29 + t^5.34 + 2*t^5.38 + t^5.8 + t^5.9 + 3*t^5.95 - 2*t^6. - t^4.48/y - t^4.48*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 |
---|---|---|---|---|---|---|---|---|---|
2379 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ | 0.588 | 0.742 | 0.7924 | [X:[], M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 1.3033], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | t^2.23 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.7 + t^3.77 + t^3.84 + t^3.91 + 2*t^4.46 + 2*t^4.61 + 2*t^4.75 + t^5.16 + t^5.23 + 2*t^5.3 + t^5.37 + t^5.45 + t^5.72 + t^5.79 + t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail |