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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5848 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ + $ M_1X_1$ | 0.6045 | 0.7642 | 0.791 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.7407, 0.8148], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7051/11664, c: 4457/5832, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 20/27, M8: 22/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_7$, $ M_8$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_5M_8$, $ M_7M_8$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_6M_7$, $ M_5\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_4M_7$, $ M_6M_8$, $ M_8\phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_2M_7$, $ M_4M_8$, $ \phi_1q_1^2$, $ M_6^2$, $ M_2M_8$, $ \phi_1q_1q_2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1^4$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$ | $M_4\phi_1\tilde{q}_1^2$ | -1 | 2*t^2.22 + t^2.44 + 2*t^2.89 + t^3.11 + t^3.33 + t^3.56 + 2*t^4.22 + 4*t^4.44 + t^4.67 + 2*t^4.89 + 4*t^5.11 + 2*t^5.33 + 4*t^5.56 + 5*t^5.78 - t^6. + t^6.22 + 5*t^6.44 + 4*t^6.67 + t^6.89 + 5*t^7.11 + 7*t^7.33 + t^7.56 + 9*t^7.78 + 8*t^8. - 3*t^8.22 + 4*t^8.44 + 9*t^8.67 - t^4.33/y - t^6.56/y - t^6.78/y + t^7.44/y + (2*t^7.67)/y + t^7.89/y + (5*t^8.11)/y + (4*t^8.33)/y + (3*t^8.56)/y + (3*t^8.78)/y - t^4.33*y - t^6.56*y - t^6.78*y + t^7.44*y + 2*t^7.67*y + t^7.89*y + 5*t^8.11*y + 4*t^8.33*y + 3*t^8.56*y + 3*t^8.78*y | 2*t^2.22 + t^2.44 + 2*t^2.89 + t^3.11 + t^3.33 + t^3.56 + 2*t^4.22 + 4*t^4.44 + t^4.67 + 2*t^4.89 + 4*t^5.11 + 2*t^5.33 + 4*t^5.56 + 5*t^5.78 - t^6. + t^6.22 + 5*t^6.44 + 4*t^6.67 + t^6.89 + 5*t^7.11 + 7*t^7.33 + t^7.56 + 9*t^7.78 + 8*t^8. - 3*t^8.22 + 4*t^8.44 + 9*t^8.67 - t^4.33/y - t^6.56/y - t^6.78/y + t^7.44/y + (2*t^7.67)/y + t^7.89/y + (5*t^8.11)/y + (4*t^8.33)/y + (3*t^8.56)/y + (3*t^8.78)/y - t^4.33*y - t^6.56*y - t^6.78*y + t^7.44*y + 2*t^7.67*y + t^7.89*y + 5*t^8.11*y + 4*t^8.33*y + 3*t^8.56*y + 3*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4372 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6879 | 0.8837 | 0.7785 | [X:[], M:[0.7491, 1.0297, 1.1914, 1.132, 0.8086, 0.868, 0.8086, 0.7063], q:[0.4935, 0.7574], qb:[0.3745, 0.434], phi:[0.4851]] | t^2.12 + t^2.25 + 2*t^2.43 + t^2.6 + t^2.78 + t^3.09 + t^3.4 + t^3.7 + 2*t^4.06 + 2*t^4.24 + t^4.37 + t^4.42 + t^4.49 + 2*t^4.54 + 2*t^4.67 + t^4.72 + 4*t^4.85 + t^4.9 + 3*t^5.03 + 4*t^5.21 + t^5.34 + t^5.39 + 3*t^5.51 + t^5.56 + t^5.69 + t^5.82 + t^5.87 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail |