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 |
---|---|---|---|---|---|---|---|---|---|
8802 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.9389 | 1.011 | 0.9287 | [X:[1.6923, 1.3846], M:[0.9231, 1.2308, 0.7692], q:[0.3077, 0.7692], qb:[], phi:[0.1538]] | [X:[[0], [0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 33003/35152, c: 17769/17576, X1: 22/13, X2: 18/13, M1: 12/13, M2: 16/13, M3: 10/13, q1: 4/13, q2: 10/13, phi1: 2/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_1$, $ \phi_1^3q_1^2$, $ M_2$, $ \phi_1^2q_1q_2$, $ X_2$, $ M_3^2$, $ \phi_1^3q_1q_2$, $ M_1M_3$, $ \phi_1q_2^2$, $ X_1$, $ M_1^2$, $ M_3\phi_1^3q_1^2$ | . | 0 | t^2.31 + t^2.77 + t^3.23 + t^3.69 + 2*t^4.15 + t^4.62 + 2*t^5.08 + t^5.54 + 3*t^6.46 + 3*t^6.92 + 3*t^7.38 + 4*t^7.85 + 3*t^8.31 - t^8.77 + t^7.85/y^2 - t^8.77/y^2 - t^3.46/y - t^4.38/y - t^5.77/y - t^6.23/y - t^6.69/y - (2*t^7.15)/y - t^7.62/y - t^8.54/y - t^3.46*y - t^4.38*y - t^5.77*y - t^6.23*y - t^6.69*y - 2*t^7.15*y - t^7.62*y - t^8.54*y + t^7.85*y^2 - t^8.77*y^2 | t^2.31 + t^2.77 + t^3.23 + t^3.69 + 2*t^4.15 + t^4.62 + 2*t^5.08 + t^5.54 + 3*t^6.46 + 3*t^6.92 + 3*t^7.38 + 4*t^7.85 + 3*t^8.31 - t^8.77 + t^7.85/y^2 - t^8.77/y^2 - t^3.46/y - t^4.38/y - t^5.77/y - t^6.23/y - t^6.69/y - (2*t^7.15)/y - t^7.62/y - t^8.54/y - t^3.46*y - t^4.38*y - t^5.77*y - t^6.23*y - t^6.69*y - 2*t^7.15*y - t^7.62*y - t^8.54*y + t^7.85*y^2 - t^8.77*y^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 |
---|---|---|---|---|---|---|---|---|
8898 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ + $ M_4\phi_1^3q_1^2$ | 0.9459 | 1.0229 | 0.9248 | [X:[1.6923, 1.3846], M:[0.9231, 1.2308, 0.7692, 0.9231], q:[0.3077, 0.7692], qb:[], phi:[0.1538]] | t^2.31 + 2*t^2.77 + t^3.69 + 2*t^4.15 + t^4.62 + 3*t^5.08 + 2*t^5.54 - t^6. - t^3.46/y - t^4.38/y - t^5.77/y - t^3.46*y - t^4.38*y - t^5.77*y | detail | {a: 8313/8788, c: 8989/8788, X1: 22/13, X2: 18/13, M1: 12/13, M2: 16/13, M3: 10/13, M4: 12/13, q1: 4/13, q2: 10/13, phi1: 2/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
8613 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ | 1.1404 | 1.2622 | 0.9035 | [X:[1.6102], M:[1.1693, 1.0256, 0.9744], q:[0.3898, 0.441], qb:[], phi:[0.1949]] | t^2.34 + t^2.92 + t^3.08 + t^3.23 + t^3.51 + t^3.66 + t^4.09 + t^4.25 + t^4.4 + t^4.68 + t^4.83 + t^5.26 + t^5.42 + t^5.57 + t^5.85 - t^3.58/y - t^4.75/y - t^5.92/y - t^3.58*y - t^4.75*y - t^5.92*y | detail |