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 |
---|---|---|---|---|---|---|---|---|---|
50916 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2\tilde{q}_1^2$ | 0.5794 | 0.7294 | 0.7943 | [X:[], M:[0.9, 1.1, 1.0, 0.9, 0.7], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 927/1600, c: 1167/1600, M1: 9/10, M2: 11/10, M3: 1, M4: 9/10, M5: 7/10, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_4$, $ M_3$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_2^2$, $ M_5\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1M_5$, $ M_4M_5$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_3\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ M_1M_3$, $ M_3M_4$, $ M_5\phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | t^2.1 + 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 2*t^4.2 + 3*t^4.5 + 6*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 + t^6.3 + 3*t^6.6 + 7*t^6.9 + 9*t^7.2 + 8*t^7.5 + 6*t^7.8 + t^8.1 + t^8.4 - 2*t^8.7 - t^4.2/y - t^6.3/y - t^6.6/y - t^6.9/y + (3*t^7.5)/y + (4*t^7.8)/y + (6*t^8.1)/y + (2*t^8.4)/y + (2*t^8.7)/y - t^4.2*y - t^6.3*y - t^6.6*y - t^6.9*y + 3*t^7.5*y + 4*t^7.8*y + 6*t^8.1*y + 2*t^8.4*y + 2*t^8.7*y | t^2.1 + 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 2*t^4.2 + 3*t^4.5 + 6*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 + t^6.3 + 3*t^6.6 + 7*t^6.9 + 9*t^7.2 + 8*t^7.5 + 6*t^7.8 + t^8.1 + t^8.4 - 2*t^8.7 - t^4.2/y - t^6.3/y - t^6.6/y - t^6.9/y + (3*t^7.5)/y + (4*t^7.8)/y + (6*t^8.1)/y + (2*t^8.4)/y + (2*t^8.7)/y - t^4.2*y - t^6.3*y - t^6.6*y - t^6.9*y + 3*t^7.5*y + 4*t^7.8*y + 6*t^8.1*y + 2*t^8.4*y + 2*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
56170 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2\tilde{q}_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.5959 | 0.7584 | 0.7857 | [X:[], M:[0.9, 1.1, 1.0, 0.9, 0.7, 0.8], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | t^2.1 + 3*t^2.4 + 2*t^2.7 + t^3. + 2*t^4.2 + 4*t^4.5 + 9*t^4.8 + 6*t^5.1 + 5*t^5.4 + t^5.7 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 4767/8000, c: 6067/8000, M1: 9/10, M2: 11/10, M3: 1, M4: 9/10, M5: 7/10, M6: 4/5, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
56167 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2\tilde{q}_1^2$ + $ M_6\phi_1^2$ | 0.5629 | 0.7004 | 0.8037 | [X:[], M:[0.9, 1.1, 1.0, 0.9, 0.7, 1.2], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^4.2 + 2*t^4.5 + 4*t^4.8 + 2*t^5.1 + 3*t^5.4 + 3*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 4503/8000, c: 5603/8000, M1: 9/10, M2: 11/10, M3: 1, M4: 9/10, M5: 7/10, M6: 6/5, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47223 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.5801 | 0.7306 | 0.794 | [X:[], M:[0.9081, 1.0919, 1.0, 0.9081, 0.7242], q:[0.6121, 0.4799], qb:[0.296, 0.9799], phi:[0.4081]] | t^2.17 + t^2.33 + t^2.45 + 2*t^2.72 + t^3. + t^3.55 + t^4.1 + t^4.35 + t^4.38 + t^4.5 + t^4.62 + t^4.65 + 2*t^4.78 + 3*t^4.9 + 2*t^5.05 + 2*t^5.17 + t^5.33 + 3*t^5.45 + 2*t^5.72 + t^5.88 - t^6. - t^4.22/y - t^4.22*y | detail |