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 |
---|---|---|---|---|---|---|---|---|---|
54907 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_3M_6$ + $ M_2^2$ | 0.5738 | 0.7167 | 0.8007 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.7143], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 12597/21952, c: 15733/21952, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 8/7, M6: 5/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_6$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_2^2$, $ M_6\phi_1\tilde{q}_2^2$ | . | -2 | 2*t^2.14 + t^3. + 2*t^3.21 + 2*t^3.43 + 2*t^3.64 + 3*t^4.29 + t^4.71 + 2*t^5.14 + 4*t^5.36 + 3*t^5.57 + 2*t^5.79 - 2*t^6. + 7*t^6.43 + 4*t^6.64 + 5*t^6.86 + 3*t^7.29 + 4*t^7.5 + 3*t^7.71 + 2*t^7.93 - 4*t^8.14 + 10*t^8.57 + 4*t^8.79 - t^4.29/y - t^6.43/y + t^7.29/y + (3*t^8.14)/y + (4*t^8.36)/y + (3*t^8.57)/y + (4*t^8.79)/y - t^4.29*y - t^6.43*y + t^7.29*y + 3*t^8.14*y + 4*t^8.36*y + 3*t^8.57*y + 4*t^8.79*y | 2*t^2.14 + t^3. + t^3.21/g1^2 + g1^2*t^3.21 + 2*t^3.43 + t^3.64/g1^2 + g1^2*t^3.64 + 3*t^4.29 + t^4.71 + 2*t^5.14 + (2*t^5.36)/g1^2 + 2*g1^2*t^5.36 + 3*t^5.57 + t^5.79/g1^2 + g1^2*t^5.79 - 2*t^6. + 5*t^6.43 + t^6.43/g1^4 + g1^4*t^6.43 + (2*t^6.64)/g1^2 + 2*g1^2*t^6.64 + 3*t^6.86 + t^6.86/g1^4 + g1^4*t^6.86 + t^7.29 + t^7.29/g1^4 + g1^4*t^7.29 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + 3*t^7.71 + t^7.93/g1^2 + g1^2*t^7.93 - 4*t^8.14 + 6*t^8.57 + (2*t^8.57)/g1^4 + 2*g1^4*t^8.57 + (2*t^8.79)/g1^2 + 2*g1^2*t^8.79 - t^4.29/y - t^6.43/y + t^7.29/y + (3*t^8.14)/y + (2*t^8.36)/(g1^2*y) + (2*g1^2*t^8.36)/y + (3*t^8.57)/y + (2*t^8.79)/(g1^2*y) + (2*g1^2*t^8.79)/y - t^4.29*y - t^6.43*y + t^7.29*y + 3*t^8.14*y + (2*t^8.36*y)/g1^2 + 2*g1^2*t^8.36*y + 3*t^8.57*y + (2*t^8.79*y)/g1^2 + 2*g1^2*t^8.79*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 |
---|---|---|---|---|---|---|---|---|
56626 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_3M_6$ + $ M_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5829 | 0.7337 | 0.7945 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.7143, 0.8731], q:[0.6509, 0.9206], qb:[0.3491, 0.3651], phi:[0.4286]] | 2*t^2.14 + t^2.62 + t^3. + t^3.05 + 2*t^3.43 + t^3.48 + t^3.81 + 3*t^4.29 + t^4.71 + 2*t^4.76 + 2*t^5.14 + 2*t^5.19 + t^5.24 + 3*t^5.57 + 2*t^5.62 + t^5.67 + t^5.95 - 2*t^6. - t^4.29/y - t^4.29*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 |
---|---|---|---|---|---|---|---|---|---|
46882 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_3M_6$ | 0.617 | 0.7524 | 0.82 | [X:[1.6109], M:[0.3891, 0.7236, 1.1673, 0.8327, 1.2218, 0.8327], q:[0.8464, 0.7645], qb:[0.43, 0.4027], phi:[0.3891]] | t^2.17 + 2*t^2.5 + 2*t^3.58 + 2*t^3.67 + 2*t^3.75 + t^4.34 + 2*t^4.67 + t^4.83 + 3*t^5. + 2*t^5.75 + t^5.84 - 3*t^6. - t^4.17/y - t^4.17*y | detail |