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 |
|---|---|---|---|---|---|---|---|---|---|
| 1665 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ + $ M_7q_1q_2$ | 0.6806 | 0.8702 | 0.782 | [X:[], M:[0.7825, 1.2, 0.8175, 0.8, 0.8175, 0.7651, 0.7825], q:[0.8, 0.4175], qb:[0.8, 0.3825], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [-1], [2], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ M_7$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_5$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ M_6^2$, $ M_1M_6$, $ M_6M_7$, $ M_1^2$, $ M_4M_6$, $ M_1M_7$, $ M_7^2$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_3M_6$, $ M_5M_6$, $ M_4M_7$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_4^2$, $ M_1M_5$, $ M_3M_7$, $ M_5M_7$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$, $ M_2M_6$, $ M_4\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_7$, $ M_3\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$ | $\phi_1\tilde{q}_1^2$ | -1 | t^2.3 + 2*t^2.35 + 2*t^2.4 + 2*t^2.45 + t^3.5 + t^3.6 + t^4.59 + 2*t^4.64 + 5*t^4.7 + 6*t^4.75 + 8*t^4.8 + 4*t^4.85 + 3*t^4.9 + t^5.79 + 2*t^5.84 + 2*t^5.9 + 2*t^5.95 - t^6. - t^6.1 + t^6.89 + 2*t^6.94 + 6*t^6.99 + 10*t^7.04 + 13*t^7.1 + 14*t^7.15 + 13*t^7.2 + 10*t^7.25 + 4*t^7.3 + 4*t^7.36 + t^8.09 + 2*t^8.14 + 5*t^8.19 + 4*t^8.24 + 3*t^8.3 - 6*t^8.35 - 5*t^8.4 - 10*t^8.45 - 4*t^8.5 - 2*t^8.56 - t^4.2/y - t^6.5/y - (2*t^6.55)/y - t^6.6/y - (2*t^6.65)/y + (2*t^7.64)/y + (3*t^7.7)/y + (8*t^7.75)/y + (6*t^7.8)/y + (6*t^7.85)/y + (2*t^7.9)/y - t^8.9/y - t^4.2*y - t^6.5*y - 2*t^6.55*y - t^6.6*y - 2*t^6.65*y + 2*t^7.64*y + 3*t^7.7*y + 8*t^7.75*y + 6*t^7.8*y + 6*t^7.85*y + 2*t^7.9*y - t^8.9*y | g1^2*t^2.3 + 2*g1*t^2.35 + 2*t^2.4 + (2*t^2.45)/g1 + g1^2*t^3.5 + t^3.6 + g1^4*t^4.59 + 2*g1^3*t^4.64 + 5*g1^2*t^4.7 + 6*g1*t^4.75 + 8*t^4.8 + (4*t^4.85)/g1 + (3*t^4.9)/g1^2 + g1^4*t^5.79 + 2*g1^3*t^5.84 + 2*g1^2*t^5.9 + 2*g1*t^5.95 - t^6. - t^6.1/g1^2 + g1^6*t^6.89 + 2*g1^5*t^6.94 + 6*g1^4*t^6.99 + 10*g1^3*t^7.04 + 13*g1^2*t^7.1 + 14*g1*t^7.15 + 13*t^7.2 + (10*t^7.25)/g1 + (4*t^7.3)/g1^2 + (4*t^7.36)/g1^3 + g1^6*t^8.09 + 2*g1^5*t^8.14 + 5*g1^4*t^8.19 + 4*g1^3*t^8.24 + 3*g1^2*t^8.3 - 6*g1*t^8.35 - 5*t^8.4 - (10*t^8.45)/g1 - (4*t^8.5)/g1^2 - (2*t^8.56)/g1^3 - t^4.2/y - (g1^2*t^6.5)/y - (2*g1*t^6.55)/y - t^6.6/y - (2*t^6.65)/(g1*y) + (2*g1^3*t^7.64)/y + (3*g1^2*t^7.7)/y + (8*g1*t^7.75)/y + (6*t^7.8)/y + (6*t^7.85)/(g1*y) + (2*t^7.9)/(g1^2*y) - (g1^2*t^8.9)/y - t^4.2*y - g1^2*t^6.5*y - 2*g1*t^6.55*y - t^6.6*y - (2*t^6.65*y)/g1 + 2*g1^3*t^7.64*y + 3*g1^2*t^7.7*y + 8*g1*t^7.75*y + 6*t^7.8*y + (6*t^7.85*y)/g1 + (2*t^7.9*y)/g1^2 - g1^2*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 4060 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ + $ M_7q_1q_2$ + $ M_2M_8$ | 0.6971 | 0.8992 | 0.7752 | [X:[], M:[0.7825, 1.2, 0.8175, 0.8, 0.8175, 0.7651, 0.7825, 0.8], q:[0.8, 0.4175], qb:[0.8, 0.3825], phi:[0.4]] | t^2.3 + 2*t^2.35 + 3*t^2.4 + 2*t^2.45 + t^3.5 + t^4.59 + 2*t^4.64 + 6*t^4.7 + 8*t^4.75 + 11*t^4.8 + 6*t^4.85 + 3*t^4.9 + t^5.79 + 2*t^5.84 + 2*t^5.9 - 3*t^6. - t^4.2/y - t^4.2*y | detail | |
| 4057 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ + $ M_7q_1q_2$ + $ M_6^2$ | 0.636 | 0.811 | 0.7842 | [X:[], M:[0.9, 1.2, 0.7, 0.8, 0.7, 1.0, 0.9], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | 2*t^2.1 + 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 4*t^4.2 + 4*t^4.5 + 8*t^4.8 + 6*t^5.1 + 4*t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 159/250, c: 811/1000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 7/10, M6: 1, M7: 9/10, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
| 4059 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ + $ M_7q_1q_2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.696 | 0.896 | 0.7768 | [X:[], M:[0.8, 1.2, 0.8, 0.8, 0.8, 0.8, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 8*t^2.4 + t^3.6 + 37*t^4.8 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 87/125, c: 112/125, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 4/5, M6: 4/5, M7: 4/5, M8: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, 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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1070 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ | 0.6633 | 0.8389 | 0.7907 | [X:[], M:[0.7907, 1.2, 0.8093, 0.8, 0.8093, 0.7814], q:[0.8, 0.4093], qb:[0.8, 0.3907], phi:[0.4]] | t^2.34 + t^2.37 + 2*t^2.4 + 2*t^2.43 + t^3.54 + t^3.6 + t^3.63 + t^4.69 + t^4.72 + 3*t^4.74 + 4*t^4.77 + 6*t^4.8 + 4*t^4.83 + 3*t^4.86 + t^5.89 + t^5.92 + 2*t^5.94 + 2*t^5.97 - t^4.2/y - t^4.2*y | detail |