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 |
---|---|---|---|---|---|---|---|---|---|
46068 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ | 0.516 | 0.641 | 0.805 | [X:[], M:[0.8, 1.2], q:[1.1, 0.5], qb:[0.3, 0.5], phi:[0.4]] | [X:[], M:[[0], [0]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 129/250, c: 641/1000, M1: 4/5, M2: 6/5, q1: 11/10, q2: 1/2, qb1: 3/10, qb2: 1/2, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | $M_1M_2$, $ \phi_1^2\tilde{q}_1^4$, $ q_2^2\tilde{q}_2^2$ | 1 | 3*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + t^6. + 2*t^6.6 + 11*t^7.2 + 4*t^7.8 - t^4.2/y - t^6.6/y + (4*t^7.8)/y + (6*t^8.4)/y - t^4.2*y - t^6.6*y + 4*t^7.8*y + 6*t^8.4*y | 3*t^2.4 + t^3./g1^2 + g1^2*t^3. + t^3.6 + t^4.2/g1^2 + g1^2*t^4.2 + 7*t^4.8 + (2*t^5.4)/g1^2 + 2*g1^2*t^5.4 - t^6. + t^6./g1^4 + g1^4*t^6. + t^6.6/g1^2 + g1^2*t^6.6 + 9*t^7.2 + t^7.2/g1^4 + g1^4*t^7.2 + (2*t^7.8)/g1^2 + 2*g1^2*t^7.8 - 6*t^8.4 + (3*t^8.4)/g1^4 + 3*g1^4*t^8.4 - t^4.2/y - t^6.6/y + (4*t^7.8)/y + (3*t^8.4)/(g1^2*y) + (3*g1^2*t^8.4)/y - t^4.2*y - t^6.6*y + 4*t^7.8*y + (3*t^8.4*y)/g1^2 + 3*g1^2*t^8.4*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 |
---|---|---|---|---|---|---|---|---|
46106 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ | 0.5325 | 0.67 | 0.7948 | [X:[], M:[0.8, 1.2, 0.8], q:[1.1, 0.5], qb:[0.3, 0.5], phi:[0.4]] | 4*t^2.4 + 2*t^3. + 2*t^4.2 + 11*t^4.8 + 6*t^5.4 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 213/400, c: 67/100, M1: 4/5, M2: 6/5, M3: 4/5, q1: 11/10, q2: 1/2, qb1: 3/10, qb2: 1/2, phi1: 2/5} |
46113 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3\tilde{q}_1^2$ | 0.489 | 0.614 | 0.7964 | [X:[], M:[0.8, 1.2], q:[1.2, 0.4], qb:[0.4, 0.4], phi:[0.4]] | 4*t^2.4 + 3*t^3.6 + 11*t^4.8 + 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 489/1000, c: 307/500, M1: 4/5, M2: 6/5, q1: 6/5, q2: 2/5, qb1: 2/5, qb2: 2/5, 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 |
---|---|---|---|---|---|---|---|---|---|
45914 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.5344 | 0.6715 | 0.7957 | [X:[], M:[0.8779, 1.1221], q:[0.9638, 0.5973], qb:[0.2805, 0.4027], phi:[0.4389]] | t^2.05 + 2*t^2.63 + 2*t^3. + t^3.37 + 2*t^3.73 + 2*t^4.1 + 3*t^4.68 + 2*t^5.05 + 2*t^5.27 + t^5.42 + 2*t^5.63 + 2*t^5.78 + t^6. - t^4.32/y - t^4.32*y | detail |