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 |
---|---|---|---|---|---|---|---|---|---|
46280 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ \phi_1q_2^2\tilde{q}_1^2$ | 0.561 | 0.686 | 0.8178 | [X:[], M:[1.0667, 0.9333], q:[0.6, 0.3333], qb:[0.4667, 1.0], phi:[0.4]] | [X:[], M:[[0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 561/1000, c: 343/500, M1: 16/15, M2: 14/15, q1: 3/5, q2: 1/3, qb1: 7/15, qb2: 1, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_1\phi_1^2$, $ \phi_1^3q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3q_2\tilde{q}_1$ | 1 | 2*t^2.4 + t^2.8 + 2*t^3.2 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + t^5.2 + 3*t^5.6 + t^6. + 4*t^6.4 + t^6.8 + 7*t^7.2 + t^7.6 + 5*t^8. + 4*t^8.8 - t^4.2/y - t^6.6/y + (2*t^7.8)/y + (2*t^8.2)/y + (4*t^8.6)/y - t^4.2*y - t^6.6*y + 2*t^7.8*y + 2*t^8.2*y + 4*t^8.6*y | 2*t^2.4 + t^2.8 + 2*t^3.2 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + t^5.2 + 3*t^5.6 + t^6. + 4*t^6.4 + t^6.8 + 7*t^7.2 + t^7.6 + 5*t^8. + 4*t^8.8 - t^4.2/y - t^6.6/y + (2*t^7.8)/y + (2*t^8.2)/y + (4*t^8.6)/y - t^4.2*y - t^6.6*y + 2*t^7.8*y + 2*t^8.2*y + 4*t^8.6*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 |
---|---|---|---|---|---|---|---|---|
46607 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ \phi_1q_2^2\tilde{q}_1^2$ + $ M_1M_3$ | 0.5672 | 0.6963 | 0.8145 | [X:[], M:[1.0667, 0.9333, 0.9333], q:[0.6, 0.3333], qb:[0.4667, 1.0], phi:[0.4]] | 2*t^2.4 + 2*t^2.8 + t^3.2 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + 3*t^5.2 + 3*t^5.6 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 3403/6000, c: 2089/3000, M1: 16/15, M2: 14/15, M3: 14/15, q1: 3/5, q2: 1/3, qb1: 7/15, qb2: 1, phi1: 2/5} |
46464 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ \phi_1q_2^2\tilde{q}_1^2$ + $ M_3q_2\tilde{q}_1$ | 0.5445 | 0.657 | 0.8288 | [X:[], M:[1.0667, 0.9333, 1.2], q:[0.6, 0.3333], qb:[0.4667, 1.0], phi:[0.4]] | t^2.4 + t^2.8 + 2*t^3.2 + 2*t^3.6 + 2*t^4. + t^4.4 + 2*t^4.8 + t^5.6 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 1089/2000, c: 657/1000, M1: 16/15, M2: 14/15, M3: 6/5, q1: 3/5, q2: 1/3, qb1: 7/15, qb2: 1, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
46075 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ | 0.5614 | 0.6887 | 0.8152 | [X:[], M:[1.0618, 0.9382], q:[0.611, 0.3272], qb:[0.4508, 0.9817], phi:[0.4073]] | t^2.33 + t^2.44 + t^2.81 + 2*t^3.19 + t^3.56 + 2*t^3.93 + t^4.3 + t^4.67 + 2*t^4.78 + t^4.89 + t^5.15 + 2*t^5.52 + t^5.63 + t^5.89 - t^4.22/y - t^4.22*y | detail |