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 |
---|---|---|---|---|---|---|---|---|---|
52640 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ | 0.6608 | 0.8195 | 0.8064 | [X:[], M:[1.1538, 1.0, 1.0769, 0.8462, 0.6923], q:[0.4615, 0.3846], qb:[0.5385, 0.7692], phi:[0.4615]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 23229/35152, c: 14403/17576, M1: 15/13, M2: 1, M3: 14/13, M4: 11/13, M5: 9/13, q1: 6/13, q2: 5/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2$, $ M_5\phi_1^2$, $ M_4^2$, $ M_2M_5$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_3M_4$, $ M_2\phi_1^2$, $ M_5\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$ | $M_5\phi_1q_1q_2$ | 1 | t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 2*t^5.54 + 2*t^5.77 + t^6. + 4*t^6.23 + 3*t^6.46 + 5*t^6.69 + 4*t^6.92 + 4*t^7.15 + 5*t^7.38 + 4*t^7.62 + 5*t^7.85 + 3*t^8.08 + 6*t^8.31 + 2*t^8.54 + 5*t^8.77 - t^4.38/y - t^6.46/y + t^7.62/y + t^7.85/y + t^8.08/y + (3*t^8.31)/y + t^8.54/y + (4*t^8.77)/y - t^4.38*y - t^6.46*y + t^7.62*y + t^7.85*y + t^8.08*y + 3*t^8.31*y + t^8.54*y + 4*t^8.77*y | t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 2*t^5.54 + 2*t^5.77 + t^6. + 4*t^6.23 + 3*t^6.46 + 5*t^6.69 + 4*t^6.92 + 4*t^7.15 + 5*t^7.38 + 4*t^7.62 + 5*t^7.85 + 3*t^8.08 + 6*t^8.31 + 2*t^8.54 + 5*t^8.77 - t^4.38/y - t^6.46/y + t^7.62/y + t^7.85/y + t^8.08/y + (3*t^8.31)/y + t^8.54/y + (4*t^8.77)/y - t^4.38*y - t^6.46*y + t^7.62*y + t^7.85*y + t^8.08*y + 3*t^8.31*y + t^8.54*y + 4*t^8.77*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 |
---|---|---|---|---|---|---|---|---|
56436 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ + $ M_1M_6$ | 0.6742 | 0.8425 | 0.8003 | [X:[], M:[1.1538, 1.0, 1.0769, 0.8462, 0.6923, 0.8462], q:[0.4615, 0.3846], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.08 + 2*t^2.54 + t^2.77 + t^3. + t^3.23 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 3*t^4.62 + t^4.85 + 4*t^5.08 + 3*t^5.31 + 2*t^5.54 + 3*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 5925/8788, c: 29615/35152, M1: 15/13, M2: 1, M3: 14/13, M4: 11/13, M5: 9/13, M6: 11/13, q1: 6/13, q2: 5/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
56437 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6815 | 0.8594 | 0.793 | [X:[], M:[1.1538, 1.0, 1.0769, 0.8462, 0.6923, 0.6923], q:[0.4615, 0.3846], qb:[0.5385, 0.7692], phi:[0.4615]] | 2*t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + 5*t^4.15 + t^4.38 + 3*t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 3*t^5.54 + 4*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 23955/35152, c: 1888/2197, M1: 15/13, M2: 1, M3: 14/13, M4: 11/13, M5: 9/13, M6: 9/13, q1: 6/13, q2: 5/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
46814 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.662 | 0.821 | 0.8063 | [X:[], M:[1.1403, 0.9647, 1.0878, 0.8597, 0.6842], q:[0.4914, 0.3683], qb:[0.5439, 0.7719], phi:[0.4561]] | t^2.05 + t^2.58 + t^2.74 + t^2.89 + t^3.26 + t^3.42 + t^3.58 + t^3.79 + t^3.95 + 2*t^4.1 + t^4.32 + t^4.47 + 2*t^4.63 + t^4.79 + t^4.95 + t^5.16 + 2*t^5.32 + 2*t^5.47 + t^5.63 + t^5.79 + t^5.84 - t^4.37/y - t^4.37*y | detail |