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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47234 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.5781 | 0.7223 | 0.8003 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 1.3077], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10161/17576, c: 1587/2197, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 17/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3\phi_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_2^2$ | -1 | t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + 2*t^3.92 + t^4.15 + 2*t^4.62 + t^4.85 + 3*t^5.08 + 3*t^5.31 + 4*t^5.54 + t^5.77 - t^6. + 2*t^6.23 + 3*t^6.46 + 3*t^6.69 + 3*t^6.92 + 4*t^7.38 + 3*t^7.62 + 6*t^7.85 + 6*t^8.08 + 4*t^8.31 - 3*t^8.77 - t^4.38/y - t^7.15/y + t^7.62/y + t^7.85/y + (2*t^8.08)/y + (3*t^8.31)/y + (2*t^8.54)/y + (3*t^8.77)/y - t^4.38*y - t^7.15*y + t^7.62*y + t^7.85*y + 2*t^8.08*y + 3*t^8.31*y + 2*t^8.54*y + 3*t^8.77*y | t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + 2*t^3.92 + t^4.15 + 2*t^4.62 + t^4.85 + 3*t^5.08 + 3*t^5.31 + 4*t^5.54 + t^5.77 - t^6. + 2*t^6.23 + 3*t^6.46 + 3*t^6.69 + 3*t^6.92 + 4*t^7.38 + 3*t^7.62 + 6*t^7.85 + 6*t^8.08 + 4*t^8.31 - 3*t^8.77 - t^4.38/y - t^7.15/y + t^7.62/y + t^7.85/y + (2*t^8.08)/y + (3*t^8.31)/y + (2*t^8.54)/y + (3*t^8.77)/y - t^4.38*y - t^7.15*y + t^7.62*y + t^7.85*y + 2*t^8.08*y + 3*t^8.31*y + 2*t^8.54*y + 3*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46763 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ | 0.6068 | 0.7776 | 0.7804 | [X:[], M:[0.7318, 0.7075, 1.0, 1.2682], q:[0.7561, 0.5122], qb:[0.5365, 0.2439], phi:[0.4878]] | t^2.12 + t^2.27 + t^2.34 + 2*t^2.93 + t^3. + t^3.15 + t^3.73 + 2*t^3.8 + t^4.24 + t^4.39 + t^4.46 + 2*t^4.54 + 2*t^4.61 + 2*t^4.68 + 2*t^5.05 + t^5.2 + 4*t^5.27 + t^5.34 + t^5.41 + t^5.49 + 4*t^5.85 + 2*t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail |