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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3979 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_6M_7$ | 0.5692 | 0.6942 | 0.8199 | [X:[1.3043], M:[1.2174, 1.1304, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2409/4232, c: 1469/2116, X1: 30/23, M1: 28/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 16/23, M6: 22/23, M7: 24/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_6$, $ M_3$, $ M_7$, $ M_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_7$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_6^2$ | $M_4\phi_1q_2\tilde{q}_1$ | 0 | t^2.35 + t^2.87 + 2*t^3.13 + t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + t^4.96 + 2*t^5.48 + t^5.74 + 3*t^6.26 + t^6.52 + 3*t^6.78 + 3*t^7.04 + 3*t^7.3 + 3*t^7.57 + 2*t^7.83 + 3*t^8.09 + 2*t^8.61 - t^4.3/y + t^7.17/y - t^7.43/y + t^8.22/y + (2*t^8.48)/y + t^8.74/y - t^4.3*y + t^7.17*y - t^7.43*y + t^8.22*y + 2*t^8.48*y + t^8.74*y | t^2.35 + t^2.87 + 2*t^3.13 + t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + t^4.96 + 2*t^5.48 + t^5.74 + 3*t^6.26 + t^6.52 + 3*t^6.78 + 3*t^7.04 + 3*t^7.3 + 3*t^7.57 + 2*t^7.83 + 3*t^8.09 + 2*t^8.61 - t^4.3/y + t^7.17/y - t^7.43/y + t^8.22/y + (2*t^8.48)/y + t^8.74/y - t^4.3*y + t^7.17*y - t^7.43*y + t^8.22*y + 2*t^8.48*y + t^8.74*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 |
---|---|---|---|---|---|---|---|---|
5531 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_6M_7$ + $ M_2M_8$ | 0.5808 | 0.714 | 0.8135 | [X:[1.3043], M:[1.2174, 1.1304, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.8696], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.35 + t^2.61 + t^2.87 + 2*t^3.13 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + 2*t^4.96 + t^5.22 + 3*t^5.48 + 2*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 113073/194672, c: 69497/97336, X1: 30/23, M1: 28/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 16/23, M6: 22/23, M7: 24/23, M8: 20/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
5506 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_6M_7$ + $ M_8X_1$ | 0.5898 | 0.7339 | 0.8037 | [X:[1.3043], M:[1.2174, 1.1304, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.6957], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.09 + t^2.35 + t^2.87 + 2*t^3.13 + t^3.39 + 2*t^3.65 + 2*t^4.17 + 3*t^4.43 + 2*t^4.96 + 2*t^5.22 + 3*t^5.48 + 3*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 114825/194672, c: 71431/97336, X1: 30/23, M1: 28/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 16/23, M6: 22/23, M7: 24/23, M8: 16/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
1596 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.28 + t^3.5 + t^3.63 + t^3.85 + t^3.98 + t^4.07 + t^4.29 + t^4.42 + t^4.55 + t^4.77 + t^4.86 + t^4.99 + t^5.21 + t^5.34 + t^5.56 + 2*t^5.78 + t^5.91 - t^6. - t^4.36/y - t^4.36*y | detail |