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 |
---|---|---|---|---|---|---|---|---|---|
50913 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ M_5^2$ | 0.6951 | 0.8495 | 0.8182 | [X:[], M:[1.0384, 1.0, 0.9616, 0.9616, 1.0, 1.0192], q:[0.4808, 0.4808], qb:[0.5192, 0.5575], phi:[0.4904]] | [X:[], M:[[4], [0], [-4], [-4], [0], [2]], q:[[-2], [-2]], qb:[[2], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ M_2$, $ M_5$, $ M_6$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ M_3M_6$, $ M_4M_6$ | $M_2^2$, $ M_1M_4$ | -1 | 2*t^2.88 + 2*t^3. + t^3.06 + t^3.12 + t^3.23 + 3*t^4.36 + 2*t^4.47 + 3*t^4.59 + t^4.7 + t^4.82 + t^5.77 + t^5.88 + 2*t^5.94 - t^6. + 2*t^6.06 + t^6.12 + t^6.17 + t^6.23 + t^6.29 + t^6.35 + t^6.46 + 4*t^7.24 + 5*t^7.36 + 5*t^7.47 + 5*t^7.59 + 4*t^7.7 + 4*t^7.82 + 2*t^7.93 + t^8.05 + t^8.65 + 5*t^8.71 - 2*t^8.77 + 5*t^8.83 - 7*t^8.88 + 8*t^8.94 - t^4.47/y - t^7.36/y + t^7.59/y + t^8.77/y + (4*t^8.88)/y + (2*t^8.94)/y - t^4.47*y - t^7.36*y + t^7.59*y + t^8.77*y + 4*t^8.88*y + 2*t^8.94*y | (2*t^2.88)/g1^4 + 2*t^3. + g1^2*t^3.06 + g1^4*t^3.12 + g1^8*t^3.23 + (3*t^4.36)/g1^5 + (2*t^4.47)/g1 + 3*g1^3*t^4.59 + g1^7*t^4.7 + g1^11*t^4.82 + t^5.77/g1^8 + t^5.88/g1^4 + (2*t^5.94)/g1^2 - t^6. + 2*g1^2*t^6.06 + g1^4*t^6.12 + g1^6*t^6.17 + g1^8*t^6.23 + g1^10*t^6.29 + g1^12*t^6.35 + g1^16*t^6.46 + (4*t^7.24)/g1^9 + (5*t^7.36)/g1^5 + (5*t^7.47)/g1 + 5*g1^3*t^7.59 + 4*g1^7*t^7.7 + 4*g1^11*t^7.82 + 2*g1^15*t^7.93 + g1^19*t^8.05 + t^8.65/g1^12 + (5*t^8.71)/g1^10 - (2*t^8.77)/g1^8 + (5*t^8.83)/g1^6 - (7*t^8.88)/g1^4 + (8*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.36/(g1^5*y) + (g1^3*t^7.59)/y + t^8.77/(g1^8*y) + (4*t^8.88)/(g1^4*y) + (2*t^8.94)/(g1^2*y) - (t^4.47*y)/g1 - (t^7.36*y)/g1^5 + g1^3*t^7.59*y + (t^8.77*y)/g1^8 + (4*t^8.88*y)/g1^4 + (2*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
56148 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ M_5^2$ + $ M_1M_7$ | 0.6995 | 0.8567 | 0.8166 | [X:[], M:[1.0574, 1.0, 0.9426, 0.9426, 1.0, 1.0287, 0.9426], q:[0.4713, 0.4713], qb:[0.5287, 0.5862], phi:[0.4856]] | 3*t^2.83 + 2*t^3. + t^3.09 + t^3.34 + 3*t^4.28 + 2*t^4.46 + 3*t^4.63 + t^4.8 + t^4.97 + 4*t^5.66 + 3*t^5.83 + 3*t^5.91 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
56147 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ M_5^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6497 | 0.7974 | 0.8147 | [X:[], M:[1.1818, 1.0, 0.8182, 0.8182, 1.0, 1.0909], q:[0.4091, 0.4091], qb:[0.5909, 0.7727], phi:[0.4545]] | 2*t^2.45 + 2*t^3. + t^3.27 + t^3.55 + 3*t^3.82 + t^4.09 + 2*t^4.36 + 4*t^4.91 + 2*t^5.45 + 2*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 3459/5324, c: 8491/10648, M1: 13/11, M2: 1, M3: 9/11, M4: 9/11, M5: 1, M6: 12/11, q1: 9/22, q2: 9/22, qb1: 13/22, qb2: 17/22, phi1: 5/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
46836 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ | 0.6993 | 0.8557 | 0.8173 | [X:[], M:[1.0132, 1.0457, 0.9868, 0.8954, 0.9543, 1.0294], q:[0.4477, 0.5391], qb:[0.5066, 0.5655], phi:[0.4853]] | t^2.69 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.14 + t^4.32 + t^4.42 + 2*t^4.5 + t^4.59 + t^4.67 + t^4.69 + t^4.77 + t^4.85 + t^5.37 + t^5.55 + t^5.73 + t^5.77 + t^5.9 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail |