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 |
|---|---|---|---|---|---|---|---|---|---|
| 19 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ + $ M_1M_2$ | 0.4135 | 0.4854 | 0.8518 | [X:[1.3853], M:[1.078, 0.922], q:[0.3073], qb:[0.4634], phi:[0.3073]] | [X:[[2]], M:[[3], [-3]], q:[[-1]], qb:[[5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1\tilde{q}_1$, $ M_2$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ X_1$, $ q_1^2\tilde{q}_1^2$, $ M_2q_1\tilde{q}_1$, $ M_1q_1\tilde{q}_1$ | . | -1 | t^2.31 + t^2.77 + t^3.23 + t^3.7 + t^4.16 + t^4.62 + t^5.08 + t^5.55 - t^6. + t^6.01 - t^6.45 + t^6.47 - t^6.92 + 2*t^6.94 + t^7.4 + t^7.86 - t^8.31 + t^8.33 - t^8.77 + t^8.78 - t^3.92/y + t^8.08/y + t^8.55/y - t^3.92*y + t^8.08*y + t^8.55*y | g1^4*t^2.31 + t^2.77/g1^3 + g1^3*t^3.23 + g1^9*t^3.7 + g1^2*t^4.16 + g1^8*t^4.62 + g1*t^5.08 + g1^7*t^5.55 - t^6. + g1^13*t^6.01 - t^6.45/g1^7 + g1^6*t^6.47 - t^6.92/g1 + 2*g1^12*t^6.94 + g1^18*t^7.4 + g1^11*t^7.86 - g1^4*t^8.31 + g1^17*t^8.33 - t^8.77/g1^3 + g1^10*t^8.78 - t^3.92/(g1*y) + (g1*t^8.08)/y + (g1^7*t^8.55)/y - (t^3.92*y)/g1 + g1*t^8.08*y + g1^7*t^8.55*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 |
|---|---|---|---|---|---|---|---|---|
| 29 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ + $ M_1M_2$ + $ M_1M_3$ | 0.4214 | 0.4969 | 0.8481 | [X:[1.3963], M:[1.0944, 0.9056, 0.9056], q:[0.3019], qb:[0.4907], phi:[0.3019]] | t^2.38 + 2*t^2.72 + t^3.85 + t^4.19 + t^4.76 + 2*t^5.09 + 2*t^5.43 - 2*t^6. - t^3.91/y - t^3.91*y | detail | |
| 28 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ + $ M_1M_2$ + $ M_1q_1\tilde{q}_1$ | 0.4029 | 0.4654 | 0.8657 | [X:[1.4286], M:[1.1429, 0.8571], q:[0.2857], qb:[0.5714], phi:[0.2857]] | 2*t^2.57 + t^3.43 + 2*t^4.29 + 2*t^5.14 - t^6. - t^3.86/y - t^3.86*y | detail | {a: 2211/5488, c: 1277/2744, X1: 10/7, M1: 8/7, M2: 6/7, q1: 2/7, qb1: 4/7, phi1: 2/7} |
| 27 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ + $ M_1M_2$ + $ q_1^2\tilde{q}_1^2$ | 0.3472 | 0.394 | 0.881 | [X:[1.5], M:[1.25, 0.75], q:[0.25], qb:[0.75], phi:[0.25]] | t^2.25 + t^3. + t^3.75 + t^4.5 + t^5.25 - t^3.75/y - t^3.75*y | detail | {a: 711/2048, c: 807/2048, X1: 3/2, M1: 5/4, M2: 3/4, q1: 1/4, qb1: 3/4, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 176 | SU2adj1nf2 | $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_1M_2$ | 0.4135 | 0.4854 | 0.8518 | [X:[1.3853], M:[0.922, 1.078], q:[0.8463, 1.1537], qb:[0.3073, 0.4634], phi:[0.3073]] | t^2.31 + t^2.77 + t^3.23 + t^3.7 + t^4.16 + t^4.62 + t^5.08 + t^5.55 - t^6. - t^3.92/y - t^3.92*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 10 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ | 0.4927 | 0.5714 | 0.8624 | [X:[1.5228], M:[0.6962, 0.7159], q:[0.5326], qb:[0.5129], phi:[0.2386]] | t^2.09 + t^2.15 + t^3.14 + t^3.79 + t^4.18 + t^4.24 + t^4.3 + t^4.57 + t^5.23 + t^5.28 + t^5.88 - 2*t^6. - t^3.72/y - t^5.8/y - t^5.86/y - t^3.72*y - t^5.8*y - t^5.86*y | detail |