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 |
---|---|---|---|---|---|---|---|---|---|
55018 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ + $ M_4^2$ + $ M_1X_1$ + $ \phi_1^2X_2$ | 0.5039 | 0.5977 | 0.8431 | [X:[1.3333, 1.3333], M:[0.6667, 1.1667, 0.8333, 1.0, 0.8333], q:[1.0, 0.3333], qb:[0.5, 0.8333], phi:[0.3333]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 129/256, c: 153/256, X1: 4/3, X2: 4/3, M1: 2/3, M2: 7/6, M3: 5/6, M4: 1, M5: 5/6, q1: 1, q2: 1/3, qb1: 1/2, qb2: 5/6, phi1: 1/3} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_5$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ X_1$, $ X_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | $M_1^2q_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_1$ | 0 | 2*t^2.5 + t^3. + t^3.5 + 3*t^4. + 3*t^5. + 5*t^6.5 - t^7. + 3*t^7.5 + 4*t^8. - 5*t^8.5 - t^4./y - t^6.5/y + t^7.5/y + t^8./y + (2*t^8.5)/y - t^4.*y - t^6.5*y + t^7.5*y + t^8.*y + 2*t^8.5*y | 2*t^2.5 + t^3. + t^3.5 + 3*t^4. + 3*t^5. + 5*t^6.5 - t^7. + 3*t^7.5 + 4*t^8. - 5*t^8.5 - t^4./y - t^6.5/y + t^7.5/y + t^8./y + (2*t^8.5)/y - t^4.*y - t^6.5*y + t^7.5*y + t^8.*y + 2*t^8.5*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 |
---|---|---|---|---|---|---|---|---|
56680 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ + $ M_4^2$ + $ M_1X_1$ + $ \phi_1^2X_2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.5182 | 0.6224 | 0.8326 | [X:[1.3333, 1.3333], M:[0.6667, 1.1667, 0.8333, 1.0, 0.8333, 0.8333], q:[1.0, 0.3333], qb:[0.5, 0.8333], phi:[0.3333]] | 3*t^2.5 + t^3. + 3*t^4. + 6*t^5. + t^5.5 - 2*t^6. - t^4./y - t^4.*y | detail | {a: 199/384, c: 239/384, X1: 4/3, X2: 4/3, M1: 2/3, M2: 7/6, M3: 5/6, M4: 1, M5: 5/6, M6: 5/6, q1: 1, q2: 1/3, qb1: 1/2, qb2: 5/6, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
47290 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ | 0.6661 | 0.8451 | 0.7882 | [X:[], M:[0.8812, 1.2203, 0.7797, 0.6782, 0.7797], q:[0.6782, 0.4406], qb:[0.3391, 0.7797], phi:[0.4406]] | t^2.03 + 2*t^2.34 + 2*t^2.64 + t^3.05 + 2*t^3.36 + t^3.66 + t^4.07 + 4*t^4.37 + 6*t^4.68 + 3*t^4.98 + t^5.09 + 2*t^5.29 + 5*t^5.39 + 6*t^5.7 + 2*t^6. - t^4.32/y - t^4.32*y | detail |