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 |
---|---|---|---|---|---|---|---|---|---|
3387 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6105 | 0.7926 | 0.7703 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 118851/194672, c: 77147/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 16/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_5\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$ | 2 | 2*t^2.09 + t^2.35 + t^2.61 + 2*t^3.13 + 2*t^3.39 + 2*t^3.65 + t^3.91 + 4*t^4.17 + 3*t^4.43 + 3*t^4.7 + t^4.96 + 5*t^5.22 + 5*t^5.48 + 5*t^5.74 + 2*t^6. + 7*t^6.26 + 7*t^6.52 + 9*t^6.78 + 5*t^7.04 + 9*t^7.3 + 9*t^7.57 + 9*t^7.83 + 3*t^8.09 + 10*t^8.35 + 9*t^8.61 + 12*t^8.87 - t^4.57/y - t^6.65/y + t^7.17/y + (3*t^7.43)/y + t^7.7/y + t^7.96/y + (4*t^8.22)/y + (7*t^8.48)/y + (7*t^8.74)/y - t^4.57*y - t^6.65*y + t^7.17*y + 3*t^7.43*y + t^7.7*y + t^7.96*y + 4*t^8.22*y + 7*t^8.48*y + 7*t^8.74*y | 2*t^2.09 + t^2.35 + t^2.61 + 2*t^3.13 + 2*t^3.39 + 2*t^3.65 + t^3.91 + 4*t^4.17 + 3*t^4.43 + 3*t^4.7 + t^4.96 + 5*t^5.22 + 5*t^5.48 + 5*t^5.74 + 2*t^6. + 7*t^6.26 + 7*t^6.52 + 9*t^6.78 + 5*t^7.04 + 9*t^7.3 + 9*t^7.57 + 9*t^7.83 + 3*t^8.09 + 10*t^8.35 + 9*t^8.61 + 12*t^8.87 - t^4.57/y - t^6.65/y + t^7.17/y + (3*t^7.43)/y + t^7.7/y + t^7.96/y + (4*t^8.22)/y + (7*t^8.48)/y + (7*t^8.74)/y - t^4.57*y - t^6.65*y + t^7.17*y + 3*t^7.43*y + t^7.7*y + t^7.96*y + 4*t^8.22*y + 7*t^8.48*y + 7*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 |
---|---|---|---|---|---|---|---|---|
3865 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_5M_6$ | 0.5989 | 0.7728 | 0.775 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.6957, 0.8696, 1.1304], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.09 + t^2.35 + 2*t^3.13 + 3*t^3.39 + 2*t^3.65 + t^3.91 + 4*t^4.17 + 3*t^4.43 + t^4.7 + 4*t^5.22 + 7*t^5.48 + 4*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 7287/12167, c: 9403/12167, M1: 22/23, M2: 26/23, M3: 24/23, M4: 16/23, M5: 20/23, M6: 26/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
3866 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6311 | 0.8322 | 0.7584 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.6957, 0.8696, 0.6957], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 3*t^2.09 + t^2.35 + t^2.61 + 2*t^3.13 + 2*t^3.39 + 2*t^3.65 + 7*t^4.17 + 4*t^4.43 + 4*t^4.7 + t^4.96 + 7*t^5.22 + 7*t^5.48 + 7*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 61431/97336, c: 20251/24334, M1: 22/23, M2: 26/23, M3: 24/23, M4: 16/23, M5: 20/23, M6: 16/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
2836 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ | 0.6243 | 0.8111 | 0.7697 | [X:[], M:[0.9947, 1.0159, 1.0053, 0.7434, 0.7646], q:[0.7487, 0.2566], qb:[0.4974, 0.4868], phi:[0.5026]] | 2*t^2.23 + t^2.26 + t^2.29 + 2*t^3.02 + 2*t^3.05 + 2*t^3.74 + t^4.43 + 4*t^4.46 + 3*t^4.49 + 3*t^4.52 + t^4.56 + t^4.59 + 4*t^5.25 + 5*t^5.28 + 3*t^5.31 + 2*t^5.34 + 2*t^5.97 - 2*t^6. - t^4.51/y - t^4.51*y | detail |