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 |
|---|---|---|---|---|---|---|---|---|---|
| 761 | 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\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ | 0.5673 | 0.7067 | 0.8027 | [X:[1.4481], M:[0.9104, 0.5519, 1.0, 0.8208, 1.0896], q:[0.8396, 0.75], qb:[0.25, 0.5188], phi:[0.4104]] | [X:[[5]], M:[[-1], [-5], [0], [-2], [1]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_5$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ X_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_5\phi_1^2$ | . | -1 | t^2.31 + 2*t^2.46 + t^2.73 + t^3. + t^3.27 + t^3.81 + t^4.08 + t^4.34 + t^4.61 + 3*t^4.77 + 3*t^4.92 + t^5.04 + t^5.19 + t^5.31 + 2*t^5.46 + t^5.58 + 2*t^5.73 - t^6. + t^6.11 + t^6.27 + t^6.38 - t^6.42 + 2*t^6.54 + t^6.65 - t^6.69 + 2*t^6.81 + t^6.92 - t^6.96 + 3*t^7.08 + 3*t^7.23 + 2*t^7.34 + 4*t^7.39 + 2*t^7.61 + t^7.66 + t^7.77 + t^7.88 + 2*t^7.92 + t^8.04 + 2*t^8.15 + 2*t^8.19 - 3*t^8.31 + 2*t^8.42 - 3*t^8.46 + t^8.58 + 2*t^8.69 - t^8.73 + 2*t^8.84 - t^8.89 + t^8.96 - t^4.23/y - (2*t^6.69)/y + (4*t^7.77)/y + t^7.92/y + t^8.04/y + (2*t^8.19)/y + t^8.31/y + (2*t^8.46)/y + t^8.58/y + (3*t^8.73)/y - t^4.23*y - 2*t^6.69*y + 4*t^7.77*y + t^7.92*y + t^8.04*y + 2*t^8.19*y + t^8.31*y + 2*t^8.46*y + t^8.58*y + 3*t^8.73*y | g1^3*t^2.31 + (2*t^2.46)/g1^2 + t^2.73/g1 + t^3. + g1*t^3.27 + g1^3*t^3.81 + g1^4*t^4.08 + g1^5*t^4.34 + g1^6*t^4.61 + 3*g1*t^4.77 + (3*t^4.92)/g1^4 + g1^2*t^5.04 + t^5.19/g1^3 + g1^3*t^5.31 + (2*t^5.46)/g1^2 + g1^4*t^5.58 + (2*t^5.73)/g1 - t^6. + g1^6*t^6.11 + g1*t^6.27 + g1^7*t^6.38 - t^6.42/g1^4 + 2*g1^2*t^6.54 + g1^8*t^6.65 - t^6.69/g1^3 + 2*g1^3*t^6.81 + g1^9*t^6.92 - t^6.96/g1^2 + 3*g1^4*t^7.08 + (3*t^7.23)/g1 + 2*g1^5*t^7.34 + (4*t^7.39)/g1^6 + 2*g1^6*t^7.61 + t^7.66/g1^5 + g1*t^7.77 + g1^7*t^7.88 + (2*t^7.92)/g1^4 + g1^2*t^8.04 + 2*g1^8*t^8.15 + (2*t^8.19)/g1^3 - 3*g1^3*t^8.31 + 2*g1^9*t^8.42 - (3*t^8.46)/g1^2 + g1^4*t^8.58 + 2*g1^10*t^8.69 - t^8.73/g1 + 2*g1^5*t^8.84 - t^8.89/g1^6 + g1^11*t^8.96 - t^4.23/(g1*y) - (2*t^6.69)/(g1^3*y) + (4*g1*t^7.77)/y + t^7.92/(g1^4*y) + (g1^2*t^8.04)/y + (2*t^8.19)/(g1^3*y) + (g1^3*t^8.31)/y + (2*t^8.46)/(g1^2*y) + (g1^4*t^8.58)/y + (3*t^8.73)/(g1*y) - (t^4.23*y)/g1 - (2*t^6.69*y)/g1^3 + 4*g1*t^7.77*y + (t^7.92*y)/g1^4 + g1^2*t^8.04*y + (2*t^8.19*y)/g1^3 + g1^3*t^8.31*y + (2*t^8.46*y)/g1^2 + g1^4*t^8.58*y + (3*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 1244 | $\phi_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ + $ M_5M_6$ | 0.5757 | 0.7202 | 0.7994 | [X:[1.4706], M:[0.9059, 0.5294, 1.0, 0.8118, 1.0941, 0.9059], q:[0.8441, 0.75], qb:[0.25, 0.5323], phi:[0.4059]] | t^2.35 + 2*t^2.44 + 2*t^2.72 + t^3. + t^3.85 + t^4.13 + t^4.41 + t^4.69 + 3*t^4.78 + 3*t^4.87 + 2*t^5.06 + 3*t^5.15 + t^5.35 + 4*t^5.44 + t^5.72 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 1243 | $\phi_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.5557 | 0.6885 | 0.8071 | [X:[1.625], M:[0.875, 0.375, 1.0, 0.75, 1.125], q:[0.875, 0.75], qb:[0.25, 0.625], phi:[0.375]] | 2*t^2.25 + 2*t^2.62 + t^3. + t^3.38 + t^4.12 + 4*t^4.5 + 5*t^4.88 + 4*t^5.25 + 3*t^5.62 - t^6. - t^4.12/y - t^4.12*y | detail | {a: 9105/16384, c: 11281/16384, X1: 13/8, M1: 7/8, M2: 3/8, M3: 1, M4: 3/4, M5: 9/8, q1: 7/8, q2: 3/4, qb1: 1/4, qb2: 5/8, phi1: 3/8} |
| 1989 | $\phi_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ + $ M_6q_2\tilde{q}_2$ | 0.5872 | 0.7435 | 0.7898 | [X:[1.4691], M:[0.9062, 0.5309, 1.0, 0.8124, 1.0938, 0.7185], q:[0.8438, 0.75], qb:[0.25, 0.5315], phi:[0.4062]] | t^2.16 + t^2.34 + 2*t^2.44 + t^2.72 + t^3. + t^3.28 + t^4.13 + t^4.31 + t^4.41 + t^4.5 + 2*t^4.59 + t^4.69 + 3*t^4.78 + 4*t^4.87 + t^5.06 + 2*t^5.16 + t^5.34 + 3*t^5.44 + t^5.63 + 2*t^5.72 - t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 474 | 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\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ | 0.606 | 0.7574 | 0.8002 | [X:[1.4386], M:[1.0179, 0.5614, 0.736, 0.7718, 0.9821], q:[0.6661, 0.948], qb:[0.316, 0.5264], phi:[0.3859]] | t^2.21 + 2*t^2.32 + t^2.53 + t^2.95 + t^3.05 + t^3.58 + t^4.32 + 2*t^4.42 + 2*t^4.52 + 3*t^4.63 + t^4.74 + 3*t^4.84 + t^5.05 + t^5.15 + 2*t^5.26 + t^5.37 + t^5.47 + t^5.58 + t^5.79 + 2*t^5.89 - 2*t^6. - t^4.16/y - t^4.16*y | detail |