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 |
---|---|---|---|---|---|---|---|---|---|
3661 | 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_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_4M_5$ + $ q_1q_2\tilde{q}_2^2$ | 0.5783 | 0.7332 | 0.7887 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 1.1304], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 112581/194672, c: 71367/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 26/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$ | $\phi_1q_2\tilde{q}_1^3$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.09 + t^2.35 + 2*t^3.13 + 3*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + t^4.7 + 2*t^5.22 + 4*t^5.48 + 2*t^5.74 + 2*t^6.26 + 5*t^6.52 + 7*t^6.78 + 6*t^7.04 + 6*t^7.3 + 7*t^7.57 + 5*t^7.83 + t^8.09 + 2*t^8.35 + 4*t^8.61 + 4*t^8.87 - t^4.57/y + t^7.17/y + (2*t^7.43)/y - t^7.7/y - t^7.96/y + (2*t^8.22)/y + (5*t^8.48)/y + (5*t^8.74)/y - t^4.57*y + t^7.17*y + 2*t^7.43*y - t^7.7*y - t^7.96*y + 2*t^8.22*y + 5*t^8.48*y + 5*t^8.74*y | t^2.09 + t^2.35 + 2*t^3.13 + 3*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + t^4.7 + 2*t^5.22 + 4*t^5.48 + 2*t^5.74 + 2*t^6.26 + 5*t^6.52 + 7*t^6.78 + 6*t^7.04 + 6*t^7.3 + 7*t^7.57 + 5*t^7.83 + t^8.09 + 2*t^8.35 + 4*t^8.61 + 4*t^8.87 - t^4.57/y + t^7.17/y + (2*t^7.43)/y - t^7.7/y - t^7.96/y + (2*t^8.22)/y + (5*t^8.48)/y + (5*t^8.74)/y - t^4.57*y + t^7.17*y + 2*t^7.43*y - t^7.7*y - t^7.96*y + 2*t^8.22*y + 5*t^8.48*y + 5*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 |
---|---|---|---|---|---|---|---|---|
3930 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_4M_5$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.5958 | 0.7643 | 0.7796 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 1.1304, 0.7826], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + 2*t^2.35 + 2*t^3.13 + 3*t^3.39 + t^3.65 + 2*t^3.91 + 2*t^4.17 + 3*t^4.43 + 3*t^4.7 + 2*t^5.22 + 6*t^5.48 + 4*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 57993/97336, c: 9299/12167, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 26/23, M6: 18/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, 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 |
---|---|---|---|---|---|---|---|---|---|
3241 | 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_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_4M_5$ | 0.5793 | 0.7341 | 0.7892 | [X:[], M:[0.9519, 1.1444, 1.0481, 0.8556, 1.1444], q:[0.738, 0.3102], qb:[0.4064, 0.4492], phi:[0.5241]] | t^2.15 + t^2.28 + 2*t^3.14 + 3*t^3.43 + t^3.56 + t^3.72 + t^3.85 + t^4.01 + t^4.14 + t^4.27 + t^4.3 + t^4.43 + t^4.56 + 2*t^5.29 + 2*t^5.42 + 2*t^5.58 + 2*t^5.71 + t^5.84 - 2*t^6. - t^4.57/y - t^4.57*y | detail |