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 |
---|---|---|---|---|---|---|---|---|---|
46665 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.5658 | 0.7265 | 0.7788 | [X:[], M:[1.0, 0.7143, 0.8571], q:[0.7857, 0.2143], qb:[0.7857, 0.5], phi:[0.4286]] | [X:[], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3105/5488, c: 3987/5488, M1: 1, M2: 5/7, M3: 6/7, q1: 11/14, q2: 3/14, qb1: 11/14, qb2: 1/2, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_2$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_3\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_1\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$ | $\phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$ | 1 | 2*t^2.14 + 3*t^2.57 + 2*t^3. + t^3.86 + 4*t^4.29 + 7*t^4.71 + 9*t^5.14 + 4*t^5.57 + t^6. + 4*t^6.43 + 10*t^6.86 + 16*t^7.29 + 13*t^7.71 + 3*t^8.14 - t^4.29/y - t^6.43/y - (2*t^6.86)/y + t^7.29/y + (8*t^7.71)/y + (8*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.43*y - 2*t^6.86*y + t^7.29*y + 8*t^7.71*y + 8*t^8.14*y + 5*t^8.57*y | 2*t^2.14 + 3*t^2.57 + 2*t^3. + t^3.86 + 4*t^4.29 + 7*t^4.71 + 9*t^5.14 + 4*t^5.57 + t^6. + 4*t^6.43 + 10*t^6.86 + 16*t^7.29 + 13*t^7.71 + 3*t^8.14 - t^4.29/y - t^6.43/y - (2*t^6.86)/y + t^7.29/y + (8*t^7.71)/y + (8*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.43*y - 2*t^6.86*y + t^7.29*y + 8*t^7.71*y + 8*t^8.14*y + 5*t^8.57*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 |
---|---|---|---|---|---|---|---|---|
48284 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ | 0.586 | 0.7646 | 0.7664 | [X:[], M:[1.0, 0.7143, 0.8571, 0.7143], q:[0.7857, 0.2143], qb:[0.7857, 0.5], phi:[0.4286]] | 3*t^2.14 + 3*t^2.57 + 2*t^3. + 7*t^4.29 + 10*t^4.71 + 11*t^5.14 + 4*t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 201/343, c: 1049/1372, M1: 1, M2: 5/7, M3: 6/7, M4: 5/7, q1: 11/14, q2: 3/14, qb1: 11/14, qb2: 1/2, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
46171 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.5532 | 0.705 | 0.7847 | [X:[], M:[1.0, 0.7143], q:[0.7857, 0.2143], qb:[0.7857, 0.5], phi:[0.4286]] | 2*t^2.14 + 2*t^2.57 + 2*t^3. + t^3.43 + t^3.86 + 4*t^4.29 + 5*t^4.71 + 6*t^5.14 + 4*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 759/1372, c: 3869/5488, M1: 1, M2: 5/7, q1: 11/14, q2: 3/14, qb1: 11/14, qb2: 1/2, phi1: 3/7} |