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 |
|---|---|---|---|---|---|---|---|---|---|
| 1980 | 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_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6641 | 0.8412 | 0.7894 | [X:[], M:[0.7825, 1.2, 0.8175, 0.8175, 0.7825, 0.7651], q:[0.8, 0.4175], qb:[0.8, 0.3825], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [-1], [1], [2]], 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_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_1M_6$, $ M_5M_6$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ M_3M_5$, $ M_4M_5$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_2M_6$, $ M_6\phi_1q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_5\phi_1q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_4\phi_1\tilde{q}_2^2$ | $\phi_1^3q_2\tilde{q}_2$ | -1 | t^2.3 + 2*t^2.35 + t^2.4 + 2*t^2.45 + t^3.5 + 2*t^3.6 + t^4.59 + 2*t^4.64 + 4*t^4.7 + 4*t^4.75 + 6*t^4.8 + 2*t^4.85 + 3*t^4.9 + t^5.79 + 2*t^5.84 + 2*t^5.9 + 4*t^5.95 - t^6. + 2*t^6.05 - t^6.1 + t^6.89 + 2*t^6.94 + 5*t^6.99 + 8*t^7.04 + 9*t^7.1 + 8*t^7.15 + 7*t^7.2 + 6*t^7.25 + t^7.3 + 4*t^7.36 + t^8.09 + 2*t^8.14 + 5*t^8.19 + 4*t^8.24 + 5*t^8.3 - 4*t^8.35 + 2*t^8.4 - 8*t^8.45 - 2*t^8.56 - t^4.2/y - t^6.5/y - (2*t^6.55)/y - (2*t^6.65)/y + (2*t^7.64)/y + (2*t^7.7)/y + (6*t^7.75)/y + (4*t^7.8)/y + (4*t^7.85)/y + (2*t^7.9)/y + (4*t^8.95)/y - t^4.2*y - t^6.5*y - 2*t^6.55*y - 2*t^6.65*y + 2*t^7.64*y + 2*t^7.7*y + 6*t^7.75*y + 4*t^7.8*y + 4*t^7.85*y + 2*t^7.9*y + 4*t^8.95*y | g1^2*t^2.3 + 2*g1*t^2.35 + t^2.4 + (2*t^2.45)/g1 + g1^2*t^3.5 + 2*t^3.6 + g1^4*t^4.59 + 2*g1^3*t^4.64 + 4*g1^2*t^4.7 + 4*g1*t^4.75 + 6*t^4.8 + (2*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 + 4*g1*t^5.95 - t^6. + (2*t^6.05)/g1 - t^6.1/g1^2 + g1^6*t^6.89 + 2*g1^5*t^6.94 + 5*g1^4*t^6.99 + 8*g1^3*t^7.04 + 9*g1^2*t^7.1 + 8*g1*t^7.15 + 7*t^7.2 + (6*t^7.25)/g1 + 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 + 5*g1^2*t^8.3 - 4*g1*t^8.35 + 2*t^8.4 - (8*t^8.45)/g1 - (2*t^8.56)/g1^3 - t^4.2/y - (g1^2*t^6.5)/y - (2*g1*t^6.55)/y - (2*t^6.65)/(g1*y) + (2*g1^3*t^7.64)/y + (2*g1^2*t^7.7)/y + (6*g1*t^7.75)/y + (4*t^7.8)/y + (4*t^7.85)/(g1*y) + (2*t^7.9)/(g1^2*y) + (4*g1*t^8.95)/y - t^4.2*y - g1^2*t^6.5*y - 2*g1*t^6.55*y - (2*t^6.65*y)/g1 + 2*g1^3*t^7.64*y + 2*g1^2*t^7.7*y + 6*g1*t^7.75*y + 4*t^7.8*y + (4*t^7.85*y)/g1 + (2*t^7.9*y)/g1^2 + 4*g1*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 3033 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_6^2$ | 0.6195 | 0.782 | 0.7922 | [X:[], M:[0.9, 1.2, 0.7, 0.7, 0.9, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | 2*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 4*t^4.2 + 2*t^4.5 + 6*t^4.8 + 4*t^5.1 + 3*t^5.4 + 4*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 1239/2000, c: 391/500, M1: 9/10, M2: 6/5, M3: 7/10, M4: 7/10, M5: 9/10, M6: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 707 | 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_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ | 0.7056 | 0.886 | 0.7965 | [X:[], M:[0.9809, 1.1188, 0.9847, 0.7816, 0.7778, 0.6744], q:[0.7797, 0.4425], qb:[0.5766, 0.4387], phi:[0.4406]] | t^2.02 + t^2.33 + t^2.34 + t^2.64 + t^2.94 + t^2.95 + t^3.36 + t^3.95 + t^3.97 + t^4.05 + t^4.07 + t^4.36 + 2*t^4.37 + t^4.38 + 2*t^4.67 + t^4.68 + t^4.69 + t^4.78 + t^4.97 + 2*t^4.98 + t^4.99 + t^5.28 + 3*t^5.29 + t^5.3 + t^5.38 + t^5.69 + t^5.7 + t^5.89 + t^5.9 + t^5.91 + t^5.98 - 2*t^6. - t^4.32/y - t^4.32*y | detail |