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 |
|---|---|---|---|---|---|---|---|---|---|
| 175 | 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_2^2$ | 0.4487 | 0.5156 | 0.8702 | [X:[1.4646], M:[0.8031, 1.0], q:[0.8662, 1.1338], qb:[0.3662, 0.5631], phi:[0.2677]] | [X:[[4]], M:[[-6], [0]], q:[[1], [-1]], qb:[[1], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.41 + t^2.79 + t^3. + t^4.18 + t^4.39 + t^4.82 + t^5.2 + t^5.58 + t^5.79 - t^6. - t^6.21 + t^6.97 + t^7.18 + t^7.23 - t^7.39 + t^7.61 + 2*t^8.36 - t^8.41 + t^8.58 - t^8.79 - t^3.8/y - t^6.21/y + t^7.39/y + t^8.2/y + t^8.41/y - t^8.62/y + t^8.79/y - t^3.8*y - t^6.21*y + t^7.39*y + t^8.2*y + t^8.41*y - t^8.62*y + t^8.79*y | t^2.41/g1^6 + g1^8*t^2.79 + t^3. + g1^12*t^4.18 + g1^4*t^4.39 + t^4.82/g1^12 + g1^2*t^5.2 + g1^16*t^5.58 + g1^8*t^5.79 - t^6. - t^6.21/g1^8 + g1^20*t^6.97 + g1^12*t^7.18 + t^7.23/g1^18 - g1^4*t^7.39 + t^7.61/g1^4 + 2*g1^24*t^8.36 - t^8.41/g1^6 + g1^16*t^8.58 - g1^8*t^8.79 - t^3.8/(g1^2*y) - t^6.21/(g1^8*y) + (g1^4*t^7.39)/y + (g1^2*t^8.2)/y + t^8.41/(g1^6*y) - t^8.62/(g1^14*y) + (g1^8*t^8.79)/y - (t^3.8*y)/g1^2 - (t^6.21*y)/g1^8 + g1^4*t^7.39*y + g1^2*t^8.2*y + (t^8.41*y)/g1^6 - (t^8.62*y)/g1^14 + g1^8*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 273 | $\phi_1q_1^2$ + $ 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_2^2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ | 0.4453 | 0.5078 | 0.8769 | [X:[1.5], M:[0.75, 1.0], q:[0.875, 1.125], qb:[0.375, 0.625], phi:[0.25]] | t^2.25 + 2*t^3. + 3*t^4.5 + t^5.25 - t^3.75/y - t^6./y - t^3.75*y - t^6.*y | detail | {a: 57/128, c: 65/128, X1: 3/2, M1: 3/4, M2: 1, q1: 7/8, q2: 9/8, qb1: 3/8, qb2: 5/8, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 18 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.4487 | 0.5156 | 0.8702 | [X:[1.4646], M:[1.0, 0.8031], q:[0.3662], qb:[0.5631], phi:[0.2677]] | t^2.41 + t^2.79 + t^3. + t^4.18 + t^4.39 + t^4.82 + t^5.2 + t^5.58 + t^5.79 - t^6. - t^3.8/y - t^3.8*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 |
|---|---|---|---|---|---|---|---|---|---|
| 110 | 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$ | 0.4927 | 0.5714 | 0.8624 | [X:[1.5228], M:[0.7159, 0.6962], q:[0.8807, 1.1193], qb:[0.5326, 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 |