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 |
---|---|---|---|---|---|---|---|---|---|
55206 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ + $ M_5q_2\tilde{q}_1$ | 0.5724 | 0.7201 | 0.7948 | [X:[], M:[1.2727, 0.8182, 0.7273, 1.0, 1.0909], q:[0.5, 0.2273], qb:[0.6818, 0.7727], phi:[0.4545]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 12189/21296, c: 15335/21296, M1: 14/11, M2: 9/11, M3: 8/11, M4: 1, M5: 12/11, q1: 1/2, q2: 5/22, qb1: 15/22, qb2: 17/22, phi1: 5/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_5$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_3M_4$, $ M_2\phi_1q_2^2$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^2q_2^4$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_2M_5$, $ M_4\phi_1q_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | $M_5\phi_1q_2^2$ | 0 | t^2.18 + t^2.45 + 2*t^2.73 + t^3. + t^3.27 + t^3.55 + t^3.82 + t^4.09 + 3*t^4.36 + 4*t^4.91 + 2*t^5.18 + 5*t^5.45 + 3*t^5.73 + 3*t^6.27 + 3*t^6.55 + 2*t^6.82 + 6*t^7.09 + t^7.36 + 6*t^7.64 + 6*t^7.91 + 6*t^8.18 + 3*t^8.45 - t^4.36/y - t^6.82/y + t^7.64/y + (3*t^7.91)/y + (3*t^8.18)/y + (3*t^8.45)/y + (4*t^8.73)/y - t^4.36*y - t^6.82*y + t^7.64*y + 3*t^7.91*y + 3*t^8.18*y + 3*t^8.45*y + 4*t^8.73*y | t^2.18 + t^2.45 + 2*t^2.73 + t^3. + t^3.27 + t^3.55 + t^3.82 + t^4.09 + 3*t^4.36 + 4*t^4.91 + 2*t^5.18 + 5*t^5.45 + 3*t^5.73 + 3*t^6.27 + 3*t^6.55 + 2*t^6.82 + 6*t^7.09 + t^7.36 + 6*t^7.64 + 6*t^7.91 + 6*t^8.18 + 3*t^8.45 - t^4.36/y - t^6.82/y + t^7.64/y + (3*t^7.91)/y + (3*t^8.18)/y + (3*t^8.45)/y + (4*t^8.73)/y - t^4.36*y - t^6.82*y + t^7.64*y + 3*t^7.91*y + 3*t^8.18*y + 3*t^8.45*y + 4*t^8.73*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 |
---|---|---|---|---|---|---|---|---|
56859 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ + $ M_5q_2\tilde{q}_1$ + $ M_5M_6$ | 0.5807 | 0.7341 | 0.791 | [X:[], M:[1.2727, 0.8182, 0.7273, 1.0, 1.0909, 0.9091], q:[0.5, 0.2273], qb:[0.6818, 0.7727], phi:[0.4545]] | t^2.18 + t^2.45 + 3*t^2.73 + t^3. + t^3.55 + t^3.82 + t^4.09 + 3*t^4.36 + 5*t^4.91 + 3*t^5.18 + 7*t^5.45 + 3*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 6183/10648, c: 15633/21296, M1: 14/11, M2: 9/11, M3: 8/11, M4: 1, M5: 12/11, M6: 10/11, q1: 1/2, q2: 5/22, qb1: 15/22, qb2: 17/22, phi1: 5/11} |
56858 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_2^2$ | 0.564 | 0.7061 | 0.7988 | [X:[], M:[1.2727, 0.8182, 0.7273, 1.0, 1.0909, 1.0909], q:[0.5, 0.2273], qb:[0.6818, 0.7727], phi:[0.4545]] | t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.55 + t^3.82 + t^4.09 + 3*t^4.36 + 3*t^4.91 + t^5.18 + 4*t^5.45 + 3*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 273/484, c: 1367/1936, M1: 14/11, M2: 9/11, M3: 8/11, M4: 1, M5: 12/11, M6: 12/11, q1: 1/2, q2: 5/22, qb1: 15/22, qb2: 17/22, phi1: 5/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
46925 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ | 0.588 | 0.742 | 0.7924 | [X:[], M:[1.2559, 0.9526, 0.7441, 1.0, 1.0237], q:[0.5, 0.2441], qb:[0.5474, 0.7559], phi:[0.4882]] | t^2.23 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.7 + t^3.77 + t^3.84 + t^3.91 + 2*t^4.46 + 2*t^4.61 + 2*t^4.75 + t^5.16 + t^5.23 + 2*t^5.3 + t^5.37 + t^5.45 + t^5.72 + t^5.79 + t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail |