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 |
---|---|---|---|---|---|---|---|---|---|
4391 | 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.5649 | 0.7089 | 0.7968 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 109965/194672, c: 69001/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_3$, $ M_7$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_7$, $ \phi_1q_1q_2$, $ M_1M_3$, $ M_1M_7$, $ M_4\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ M_4\phi_1\tilde{q}_1^2$ | $M_3\phi_1q_2^2$, $ M_7\phi_1q_2^2$ | 1 | t^2.09 + t^2.35 + 2*t^2.87 + t^3.13 + 2*t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 2*t^4.7 + 2*t^4.96 + 3*t^5.22 + 2*t^5.48 + 4*t^5.74 + t^6. + 4*t^6.26 + 2*t^6.52 + 4*t^6.78 + 3*t^7.04 + 3*t^7.3 + 4*t^7.57 + 3*t^7.83 + 4*t^8.09 + t^8.35 + 5*t^8.61 - t^4.3/y - t^6.65/y - t^7.17/y + (2*t^7.43)/y + (3*t^7.96)/y + (3*t^8.22)/y + (3*t^8.48)/y + (4*t^8.74)/y - t^4.3*y - t^6.65*y - t^7.17*y + 2*t^7.43*y + 3*t^7.96*y + 3*t^8.22*y + 3*t^8.48*y + 4*t^8.74*y | t^2.09 + t^2.35 + 2*t^2.87 + t^3.13 + 2*t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 2*t^4.7 + 2*t^4.96 + 3*t^5.22 + 2*t^5.48 + 4*t^5.74 + t^6. + 4*t^6.26 + 2*t^6.52 + 4*t^6.78 + 3*t^7.04 + 3*t^7.3 + 4*t^7.57 + 3*t^7.83 + 4*t^8.09 + t^8.35 + 5*t^8.61 - t^4.3/y - t^6.65/y - t^7.17/y + (2*t^7.43)/y + (3*t^7.96)/y + (3*t^8.22)/y + (3*t^8.48)/y + (4*t^8.74)/y - t^4.3*y - t^6.65*y - t^7.17*y + 2*t^7.43*y + 3*t^7.96*y + 3*t^8.22*y + 3*t^8.48*y + 4*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 |
---|---|---|---|---|---|---|---|---|
5878 | $M_1q_1q_2$ + $ 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_6M_8$ | 0.5855 | 0.7485 | 0.7822 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565, 0.6957], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | 2*t^2.09 + t^2.35 + 2*t^2.87 + t^3.13 + 2*t^3.39 + t^3.65 + 3*t^4.17 + 2*t^4.43 + 2*t^4.7 + 4*t^4.96 + 4*t^5.22 + 4*t^5.48 + 5*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 14247/24334, c: 36429/48668, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, M8: 16/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
5876 | $M_1q_1q_2$ + $ 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.5689 | 0.7157 | 0.795 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565, 0.9565], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.09 + t^2.35 + 3*t^2.87 + 2*t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 2*t^4.7 + 3*t^4.96 + 3*t^5.22 + t^5.48 + 7*t^5.74 - t^6. - t^4.3/y - t^4.3*y | detail | {a: 55377/97336, c: 17415/24334, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, M8: 22/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
5877 | $M_1q_1q_2$ + $ 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.5824 | 0.74 | 0.787 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565, 0.7826], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.09 + 2*t^2.35 + 2*t^2.87 + t^3.13 + 2*t^3.39 + t^3.91 + t^4.17 + 2*t^4.43 + 4*t^4.7 + 2*t^4.96 + 5*t^5.22 + 3*t^5.48 + 5*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 56685/97336, c: 36013/48668, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, M8: 18/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, 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 |
---|---|---|---|---|---|---|---|---|---|
2380 | 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_5M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5702 | 0.713 | 0.7996 | [X:[], M:[0.7158, 1.1426, 0.999, 0.7139, 1.001, 1.2861, 0.999], q:[0.9282, 0.356], qb:[0.3579, 0.6431], phi:[0.4287]] | t^2.14 + t^2.15 + 2*t^3. + t^3.42 + 3*t^3.43 + t^3.86 + t^4.28 + 2*t^4.29 + t^4.71 + 4*t^5.14 + t^5.56 + 2*t^5.57 + 3*t^5.58 + 2*t^5.99 - 2*t^6. - t^4.29/y - t^4.29*y | detail |