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 |
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5402 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_6q_2\tilde{q}_2$ | 0.5746 | 0.6996 | 0.8213 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1117/1944, c: 170/243, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ M_5$, $ M_4$, $ M_2$, $ M_7$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_7q_2\tilde{q}_2$ | . | -1 | t^2.44 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + t^5.33 + t^5.56 + t^5.78 - t^6. + t^6.22 + 2*t^6.44 + 3*t^6.67 + 2*t^6.89 + 3*t^7.11 + 3*t^7.33 + 2*t^7.56 + 2*t^7.78 + 3*t^8. + 2*t^8.22 + 2*t^8.67 - t^8.89 - t^4.33/y + t^7./y - t^7.67/y + t^8.33/y + t^8.56/y + (2*t^8.78)/y - t^4.33*y + t^7.*y - t^7.67*y + t^8.33*y + t^8.56*y + 2*t^8.78*y | t^2.44 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + t^5.33 + t^5.56 + t^5.78 - t^6. + t^6.22 + 2*t^6.44 + 3*t^6.67 + 2*t^6.89 + 3*t^7.11 + 3*t^7.33 + 2*t^7.56 + 2*t^7.78 + 3*t^8. + 2*t^8.22 + 2*t^8.67 - t^8.89 - t^4.33/y + t^7./y - t^7.67/y + t^8.33/y + t^8.56/y + (2*t^8.78)/y - t^4.33*y + t^7.*y - t^7.67*y + t^8.33*y + t^8.56*y + 2*t^8.78*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 |
---|---|---|---|---|---|---|---|---|
6879 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_2M_8$ | 0.5846 | 0.7166 | 0.8159 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111, 0.8889], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.44 + t^2.67 + t^2.89 + t^3.11 + t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + t^5.11 + 2*t^5.33 + 2*t^5.56 + t^5.78 - t^4.33/y - t^4.33*y | detail | {a: 2273/3888, c: 1393/1944, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, M8: 8/9, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
6878 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_4M_8$ | 0.578 | 0.7054 | 0.8195 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111, 0.963], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.44 + 2*t^2.89 + 2*t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + 2*t^5.33 + 3*t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 20227/34992, c: 12341/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, M8: 26/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
6877 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_5M_8$ | 0.5711 | 0.6938 | 0.8232 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111, 1.037], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.44 + 2*t^3.11 + 2*t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + 2*t^5.56 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 19985/34992, c: 12139/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, M8: 28/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
6882 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.594 | 0.7352 | 0.8079 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111, 0.7407], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.22 + t^2.44 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.56 + 2*t^4. + t^4.22 + t^4.44 + 2*t^4.67 + t^4.89 + t^5.11 + 2*t^5.33 + 3*t^5.56 + 2*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 20785/34992, c: 12863/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, M8: 20/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
3805 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ | 0.5746 | 0.7002 | 0.8206 | [X:[1.3271], M:[0.6729, 1.109, 0.8183, 1.0363, 0.9637, 1.1817, 1.109], q:[0.7773, 0.5498], qb:[0.6319, 0.2591], phi:[0.4455]] | t^2.43 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.55 + t^3.76 + t^3.98 + t^4.01 + t^4.23 + t^4.64 + t^4.85 + t^5.32 + t^5.54 + t^5.75 + t^5.97 - 2*t^6. - t^4.34/y - t^4.34*y | detail |