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 |
---|---|---|---|---|---|---|---|---|---|
930 | 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_1M_3$ + $ M_2\phi_1^2$ | 0.6972 | 0.855 | 0.8154 | [X:[], M:[0.949, 1.017, 1.051, 0.915, 1.0], q:[0.5, 0.551], qb:[0.449, 0.534], phi:[0.4915]] | [X:[], M:[[-6], [2], [6], [-10], [0]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ \phi_1^2$, $ M_5$, $ M_2$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_1^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_5\phi_1^2$ | . | -1 | t^2.75 + t^2.85 + t^2.95 + t^3. + t^3.05 + t^3.1 + t^3.15 + t^4.17 + t^4.32 + t^4.42 + 2*t^4.47 + t^4.58 + t^4.63 + t^4.68 + t^4.73 + t^4.78 + t^5.49 + t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 + t^5.95 - t^6. + t^6.05 + t^6.1 + 2*t^6.2 + t^6.91 + t^7.02 + t^7.07 + t^7.12 + 2*t^7.17 + t^7.22 + 2*t^7.27 + 2*t^7.32 + t^7.37 + 3*t^7.42 + t^7.47 + 2*t^7.53 + 2*t^7.58 + 2*t^7.63 + 2*t^7.68 + t^7.73 + 2*t^7.78 + t^7.83 + t^7.88 + t^7.93 + t^8.24 + 2*t^8.34 + t^8.44 + t^8.49 + 2*t^8.54 + 4*t^8.64 - t^8.69 + 2*t^8.8 - t^8.85 + t^8.9 + t^8.95 - t^4.47/y - t^7.22/y + t^7.73/y + t^8.59/y + t^8.69/y + t^8.75/y + (2*t^8.8)/y + (2*t^8.85)/y + (2*t^8.9)/y + (2*t^8.95)/y - t^4.47*y - t^7.22*y + t^7.73*y + t^8.59*y + t^8.69*y + t^8.75*y + 2*t^8.8*y + 2*t^8.85*y + 2*t^8.9*y + 2*t^8.95*y | t^2.75/g1^10 + t^2.85/g1^6 + t^2.95/g1^2 + t^3. + g1^2*t^3.05 + g1^4*t^3.1 + g1^6*t^3.15 + t^4.17/g1^13 + t^4.32/g1^7 + t^4.42/g1^3 + (2*t^4.47)/g1 + g1^3*t^4.58 + g1^5*t^4.63 + g1^7*t^4.68 + g1^9*t^4.73 + g1^11*t^4.78 + t^5.49/g1^20 + t^5.59/g1^16 + t^5.69/g1^12 + (2*t^5.8)/g1^8 + (2*t^5.9)/g1^4 + t^5.95/g1^2 - t^6. + g1^2*t^6.05 + g1^4*t^6.1 + 2*g1^8*t^6.2 + t^6.91/g1^23 + t^7.02/g1^19 + t^7.07/g1^17 + t^7.12/g1^15 + (2*t^7.17)/g1^13 + t^7.22/g1^11 + (2*t^7.27)/g1^9 + (2*t^7.32)/g1^7 + t^7.37/g1^5 + (3*t^7.42)/g1^3 + t^7.47/g1 + 2*g1*t^7.53 + 2*g1^3*t^7.58 + 2*g1^5*t^7.63 + 2*g1^7*t^7.68 + g1^9*t^7.73 + 2*g1^11*t^7.78 + g1^13*t^7.83 + g1^15*t^7.88 + g1^17*t^7.93 + t^8.24/g1^30 + (2*t^8.34)/g1^26 + t^8.44/g1^22 + t^8.49/g1^20 + (2*t^8.54)/g1^18 + (4*t^8.64)/g1^14 - t^8.69/g1^12 + (2*t^8.8)/g1^8 - t^8.85/g1^6 + t^8.9/g1^4 + t^8.95/g1^2 - t^4.47/(g1*y) - t^7.22/(g1^11*y) + (g1^9*t^7.73)/y + t^8.59/(g1^16*y) + t^8.69/(g1^12*y) + t^8.75/(g1^10*y) + (2*t^8.8)/(g1^8*y) + (2*t^8.85)/(g1^6*y) + (2*t^8.9)/(g1^4*y) + (2*t^8.95)/(g1^2*y) - (t^4.47*y)/g1 - (t^7.22*y)/g1^11 + g1^9*t^7.73*y + (t^8.59*y)/g1^16 + (t^8.69*y)/g1^12 + (t^8.75*y)/g1^10 + (2*t^8.8*y)/g1^8 + (2*t^8.85*y)/g1^6 + (2*t^8.9*y)/g1^4 + (2*t^8.95*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 |
---|---|---|---|---|---|---|---|---|
1428 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_6$ | 0.6989 | 0.8581 | 0.8144 | [X:[], M:[0.9422, 1.0193, 1.0578, 0.9037, 1.0, 0.9807], q:[0.5, 0.5578], qb:[0.4422, 0.5385], phi:[0.4904]] | t^2.71 + t^2.83 + 2*t^2.94 + t^3. + t^3.12 + t^3.17 + t^4.12 + t^4.3 + t^4.41 + 2*t^4.47 + t^4.59 + t^4.64 + t^4.7 + t^4.76 + t^4.82 + t^5.42 + t^5.54 + 2*t^5.65 + 2*t^5.77 + 3*t^5.88 + 2*t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
1427 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_2\phi_1^2$ + $ M_3M_6$ | 0.7028 | 0.8656 | 0.8119 | [X:[], M:[0.9296, 1.0235, 1.0704, 0.8826, 1.0, 0.9296], q:[0.5, 0.5704], qb:[0.4296, 0.5469], phi:[0.4883]] | t^2.65 + 2*t^2.79 + t^2.93 + t^3. + t^3.07 + t^3.14 + t^4.04 + t^4.25 + t^4.39 + 2*t^4.46 + t^4.61 + t^4.68 + t^4.75 + t^4.82 + t^4.89 + t^5.3 + 2*t^5.44 + 3*t^5.58 + 3*t^5.72 + t^5.79 + 2*t^5.86 + 2*t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
1426 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ | 0.6957 | 0.8524 | 0.8162 | [X:[], M:[0.9559, 1.0147, 1.0441, 0.9265, 1.0, 1.0147], q:[0.5, 0.5441], qb:[0.4559, 0.5294], phi:[0.4927]] | t^2.78 + t^2.87 + t^3. + 2*t^3.04 + t^3.09 + t^3.13 + t^4.21 + t^4.35 + t^4.43 + 2*t^4.48 + t^4.57 + t^4.61 + t^4.65 + t^4.7 + t^4.74 + t^5.56 + t^5.65 + 2*t^5.82 + 2*t^5.91 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
1425 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7007 | 0.8617 | 0.8132 | [X:[], M:[0.9356, 1.0215, 1.0644, 0.8927, 1.0, 0.9571], q:[0.5, 0.5644], qb:[0.4356, 0.5429], phi:[0.4893]] | t^2.68 + t^2.81 + t^2.87 + t^2.94 + t^3. + t^3.06 + t^3.19 + t^4.08 + t^4.27 + t^4.4 + 2*t^4.47 + t^4.6 + t^4.66 + t^4.73 + t^4.79 + t^4.85 + t^5.36 + t^5.48 + t^5.55 + t^5.61 + t^5.68 + 3*t^5.74 + 3*t^5.87 + t^5.94 - 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 |
---|---|---|---|---|---|---|---|---|---|
593 | 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_1M_3$ | 0.7215 | 0.8862 | 0.8142 | [X:[], M:[1.0, 0.8197, 1.0, 0.8197, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6803], phi:[0.4549]] | 2*t^2.46 + t^2.73 + 3*t^3. + t^3.54 + 6*t^4.36 + 3*t^4.91 + 3*t^4.92 + 2*t^5.19 + t^5.45 + 4*t^5.46 + 3*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail |