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 |
|---|---|---|---|---|---|---|---|---|---|
| 487 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ | 0.5731 | 0.6732 | 0.8513 | [X:[1.6989, 1.3978], M:[0.7527, 0.3011, 0.7527, 0.9032, 1.0968], q:[0.8495, 0.8495], qb:[0.3978, 0.6989], phi:[0.3011]] | [X:[[0, 1], [0, 2]], M:[[1, -3], [0, -1], [-1, -2], [0, -3], [0, 3]], q:[[-1, 1], [1, 0]], qb:[[0, 2], [0, 1]], phi:[[0, -1]]] | 2 | {a: 26435/46128, c: 15527/23064, X1: 158/93, X2: 130/93, M1: 70/93, M2: 28/93, M3: 70/93, M4: 28/31, M5: 34/31, q1: 79/93, q2: 79/93, qb1: 37/93, qb2: 65/93, phi1: 28/93} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ X_1$, $ M_1M_5$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_3\tilde{q}_1\tilde{q}_2$ | . | -4 | 2*t^2.26 + 2*t^3.29 + 2*t^4.19 + 3*t^4.52 + 2*t^4.65 + t^5.1 + 2*t^5.55 - 4*t^6. + 3*t^6.58 + 4*t^6.77 + t^6.9 + 3*t^7.48 + 3*t^7.81 + 2*t^7.94 - 6*t^8.26 + t^8.39 + 2*t^8.84 - t^3.9/y - (2*t^6.16)/y + t^7.52/y + (2*t^7.65)/y - (3*t^8.42)/y + (4*t^8.55)/y - t^3.9*y - 2*t^6.16*y + t^7.52*y + 2*t^7.65*y - 3*t^8.42*y + 4*t^8.55*y | (g1*t^2.26)/g2^3 + t^2.26/(g1*g2^2) + 2*g2^3*t^3.29 + 2*g2^2*t^4.19 + (g1^2*t^4.52)/g2^6 + t^4.52/g2^5 + t^4.52/(g1^2*g2^4) + g1*g2*t^4.65 + (g2^2*t^4.65)/g1 + g2*t^5.1 + g1*t^5.55 + (g2*t^5.55)/g1 - 4*t^6. + 3*g2^6*t^6.58 + (g1^3*t^6.77)/g2^9 + (g1*t^6.77)/g2^8 + t^6.77/(g1*g2^7) + t^6.77/(g1^3*g2^6) + t^6.9/g1^2 + (g1^2*t^6.9)/g2^2 - t^6.9/g2 + 3*g2^5*t^7.48 + (g1^2*t^7.81)/g2^3 + t^7.81/g2^2 + t^7.81/(g1^2*g2) + g1*g2^4*t^7.94 + (g2^5*t^7.94)/g1 - (3*g1*t^8.26)/g2^3 - (3*t^8.26)/(g1*g2^2) + g2^4*t^8.39 + g1*g2^3*t^8.84 + (g2^4*t^8.84)/g1 - t^3.9/(g2*y) - (g1*t^6.16)/(g2^4*y) - t^6.16/(g1*g2^3*y) + t^7.52/(g2^5*y) + (g1*g2*t^7.65)/y + (g2^2*t^7.65)/(g1*y) - (g1^2*t^8.42)/(g2^7*y) - t^8.42/(g2^6*y) - t^8.42/(g1^2*g2^5*y) + (2*g1*t^8.55)/y + (2*g2*t^8.55)/(g1*y) - (t^3.9*y)/g2 - (g1*t^6.16*y)/g2^4 - (t^6.16*y)/(g1*g2^3) + (t^7.52*y)/g2^5 + g1*g2*t^7.65*y + (g2^2*t^7.65*y)/g1 - (g1^2*t^8.42*y)/g2^7 - (t^8.42*y)/g2^6 - (t^8.42*y)/(g1^2*g2^5) + 2*g1*t^8.55*y + (2*g2*t^8.55*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 777 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ + $ M_1^2$ | 0.543 | 0.6484 | 0.8375 | [X:[1.6571, 1.3141], M:[1.0, 0.3429, 0.7147, 1.0288, 0.9712], q:[0.6859, 0.9712], qb:[0.3141, 0.6571], phi:[0.3429]] | t^2.14 + 2*t^2.91 + t^3. + 2*t^3.94 + t^4.03 + t^4.29 + t^4.88 + t^4.97 + t^5.06 + t^5.14 + 3*t^5.83 + t^5.91 - 3*t^6. - t^4.03/y - t^4.03*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 309 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.5838 | 0.6909 | 0.845 | [X:[1.7137, 1.4275], M:[0.7156, 0.2863, 0.7156, 0.8588], q:[0.8569, 0.8569], qb:[0.4275, 0.7137], phi:[0.2863]] | 2*t^2.15 + t^2.58 + t^3.42 + 2*t^4.28 + 3*t^4.29 + 2*t^4.71 + 2*t^4.72 + t^5.14 + t^5.15 - 3*t^6. - t^3.86/y - t^3.86*y | detail |