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 |
|---|---|---|---|---|---|---|---|---|---|
| 485 | 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_1M_4$ | 0.5465 | 0.65 | 0.8409 | [X:[1.655, 1.31], M:[0.965, 0.345, 0.76, 1.035], q:[0.725, 0.93], qb:[0.31, 0.655], phi:[0.345]] | [X:[[1], [2]], M:[[3], [-1], [-8], [-3]], q:[[-5], [6]], qb:[[2], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ q_2\tilde{q}_2$, $ q_1q_2$, $ X_1$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | . | -2 | t^2.28 + 2*t^2.9 + t^3.1 + 2*t^3.93 + t^4.14 + t^4.56 + t^4.76 + t^4.97 + t^5.17 + t^5.38 + 2*t^5.79 - 2*t^6. + t^6.21 + t^6.42 + t^6.83 + t^6.84 + t^7.03 + t^7.24 + t^7.45 + t^7.65 + t^7.66 + t^7.86 + 2*t^8.07 - t^8.28 + t^8.49 + 2*t^8.69 + t^8.7 - 3*t^8.9 - t^4.03/y - t^6.31/y + t^7.76/y + (2*t^8.17)/y + t^8.38/y - t^8.59/y + t^8.79/y - t^4.03*y - t^6.31*y + t^7.76*y + 2*t^8.17*y + t^8.38*y - t^8.59*y + t^8.79*y | t^2.28/g1^8 + 2*g1^3*t^2.9 + t^3.1/g1^3 + 2*g1^2*t^3.93 + t^4.14/g1^4 + t^4.56/g1^16 + g1^7*t^4.76 + g1*t^4.97 + t^5.17/g1^5 + t^5.38/g1^11 + 2*g1^6*t^5.79 - 2*t^6. + t^6.21/g1^6 + t^6.42/g1^12 + g1^5*t^6.83 + t^6.84/g1^24 + t^7.03/g1 + t^7.24/g1^7 + t^7.45/g1^13 + g1^10*t^7.65 + t^7.66/g1^19 + g1^4*t^7.86 + (2*t^8.07)/g1^2 - t^8.28/g1^8 + t^8.49/g1^14 + 2*g1^9*t^8.69 + t^8.7/g1^20 - 3*g1^3*t^8.9 - t^4.03/(g1*y) - t^6.31/(g1^9*y) + (g1^7*t^7.76)/y + (2*t^8.17)/(g1^5*y) + t^8.38/(g1^11*y) - t^8.59/(g1^17*y) + (g1^6*t^8.79)/y - (t^4.03*y)/g1 - (t^6.31*y)/g1^9 + g1^7*t^7.76*y + (2*t^8.17*y)/g1^5 + (t^8.38*y)/g1^11 - (t^8.59*y)/g1^17 + g1^6*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 |
|---|---|---|---|---|---|---|---|---|
| 776 | $\phi_1q_1q_2$ + $ 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_1M_4$ + $ M_3M_4$ | 0.535 | 0.6373 | 0.8395 | [X:[1.6364, 1.2727], M:[0.9091, 0.3636, 0.9091, 1.0909], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | 3*t^2.73 + t^3.27 + 2*t^3.82 + 2*t^4.36 + t^4.91 + 4*t^5.45 - t^6. - t^4.09/y - t^4.09*y | detail | {a: 5697/10648, c: 3393/5324, X1: 18/11, X2: 14/11, M1: 10/11, M2: 4/11, M3: 10/11, M4: 12/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, phi1: 4/11} |
| 773 | $\phi_1q_1q_2$ + $ 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_1M_4$ + $ M_3^2$ | 0.5176 | 0.6192 | 0.836 | [X:[1.625, 1.25], M:[0.875, 0.375, 1.0, 1.125], q:[0.875, 0.75], qb:[0.25, 0.625], phi:[0.375]] | 2*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + t^4.5 + t^4.88 + 2*t^5.25 + t^5.62 - t^6. - t^4.12/y - t^4.12*y | detail | {a: 8481/16384, c: 10145/16384, X1: 13/8, X2: 5/4, M1: 7/8, M2: 3/8, M3: 1, M4: 9/8, q1: 7/8, q2: 3/4, qb1: 1/4, qb2: 5/8, phi1: 3/8} |
| 775 | $\phi_1q_1q_2$ + $ 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_1M_4$ + $ M_4M_5$ | 0.5503 | 0.6565 | 0.8383 | [X:[1.651, 1.3019], M:[0.9529, 0.349, 0.7922, 1.0471, 0.9529], q:[0.7452, 0.9058], qb:[0.3019, 0.651], phi:[0.349]] | t^2.38 + 3*t^2.86 + 2*t^3.91 + t^4.19 + t^4.67 + t^4.75 + t^4.95 + 2*t^5.24 + 5*t^5.72 - 4*t^6. - t^4.05/y - t^4.05*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 |