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 |
|---|---|---|---|---|---|---|---|---|---|
| 240 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ | 0.5879 | 0.7149 | 0.8223 | [X:[1.4675], M:[0.8831, 0.5325, 1.0], q:[0.8084, 0.8084], qb:[0.3084, 0.5422], phi:[0.3831]] | [X:[[8]], M:[[-2], [-8], [0]], q:[[1], [1]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_1$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | $M_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.3 + t^2.55 + t^2.65 + t^3. + t^3.35 + t^3.7 + 2*t^4.05 + t^4.4 + t^4.6 + 2*t^4.85 + t^4.95 + t^5.1 + t^5.2 + t^5.3 + t^5.55 + t^5.9 + t^6.25 + 2*t^6.35 - t^6.45 + 2*t^6.6 + 3*t^6.7 - 2*t^6.8 + t^6.9 + t^6.95 + 2*t^7.05 + t^7.25 + 3*t^7.4 + t^7.6 + t^7.66 + 2*t^7.75 + 4*t^8.1 - t^8.2 - t^8.3 + 3*t^8.45 - t^8.55 - 2*t^8.65 + 2*t^8.8 + 2*t^8.9 - t^4.15/y - t^6.45/y - t^6.8/y + t^7.5/y + (2*t^7.85)/y + t^7.95/y + t^8.2/y + t^8.3/y + t^8.55/y + (2*t^8.65)/y - t^8.75/y + t^8.9/y - t^4.15*y - t^6.45*y - t^6.8*y + t^7.5*y + 2*t^7.85*y + t^7.95*y + t^8.2*y + t^8.3*y + t^8.55*y + 2*t^8.65*y - t^8.75*y + t^8.9*y | t^2.3/g1^4 + g1^6*t^2.55 + t^2.65/g1^2 + t^3. + g1^2*t^3.35 + g1^4*t^3.7 + 2*g1^6*t^4.05 + g1^8*t^4.4 + t^4.6/g1^8 + 2*g1^2*t^4.85 + t^4.95/g1^6 + g1^12*t^5.1 + g1^4*t^5.2 + t^5.3/g1^4 + g1^6*t^5.55 + g1^8*t^5.9 + g1^10*t^6.25 + 2*g1^2*t^6.35 - t^6.45/g1^6 + 2*g1^12*t^6.6 + 3*g1^4*t^6.7 - (2*t^6.8)/g1^4 + t^6.9/g1^12 + g1^14*t^6.95 + 2*g1^6*t^7.05 + t^7.25/g1^10 + 3*g1^8*t^7.4 + t^7.6/g1^8 + g1^18*t^7.66 + 2*g1^10*t^7.75 + 4*g1^12*t^8.1 - g1^4*t^8.2 - t^8.3/g1^4 + 3*g1^14*t^8.45 - g1^6*t^8.55 - (2*t^8.65)/g1^2 + 2*g1^16*t^8.8 + 2*g1^8*t^8.9 - t^4.15/(g1^2*y) - t^6.45/(g1^6*y) - t^6.8/(g1^4*y) + t^7.5/y + (2*g1^2*t^7.85)/y + t^7.95/(g1^6*y) + (g1^4*t^8.2)/y + t^8.3/(g1^4*y) + (g1^6*t^8.55)/y + (2*t^8.65)/(g1^2*y) - t^8.75/(g1^10*y) + (g1^8*t^8.9)/y - (t^4.15*y)/g1^2 - (t^6.45*y)/g1^6 - (t^6.8*y)/g1^4 + t^7.5*y + 2*g1^2*t^7.85*y + (t^7.95*y)/g1^6 + g1^4*t^8.2*y + (t^8.3*y)/g1^4 + g1^6*t^8.55*y + (2*t^8.65*y)/g1^2 - (t^8.75*y)/g1^10 + g1^8*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 382 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6065 | 0.7473 | 0.8115 | [X:[1.4923], M:[0.8769, 0.5077, 1.0, 0.7538], q:[0.8115, 0.8115], qb:[0.3115, 0.5577], phi:[0.3769]] | 2*t^2.26 + t^2.61 + t^2.63 + t^3. + t^3.37 + 2*t^4.11 + t^4.48 + 3*t^4.52 + 3*t^4.87 + 2*t^4.89 + t^5.22 + t^5.24 + 2*t^5.26 + t^5.61 + t^5.63 + t^5.98 - t^6. - t^4.13/y - t^4.13*y | detail | |
| 380 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ | 0.5986 | 0.7318 | 0.8179 | [X:[1.4911], M:[0.8772, 0.5089, 1.0, 0.8772], q:[0.8114, 0.8114], qb:[0.3114, 0.5569], phi:[0.3772]] | t^2.26 + t^2.6 + 2*t^2.63 + t^3. + t^3.74 + 2*t^4.1 + t^4.47 + t^4.53 + 2*t^4.87 + 2*t^4.9 + t^5.21 + 2*t^5.24 + 3*t^5.26 + t^5.6 - t^6. - t^4.13/y - t^4.13*y | detail | |
| 383 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.5874 | 0.7124 | 0.8245 | [X:[1.5], M:[0.875, 0.5, 1.0], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | t^2.25 + 2*t^2.62 + t^3. + t^3.38 + t^3.75 + 2*t^4.12 + 2*t^4.5 + 3*t^4.88 + 3*t^5.25 + t^5.62 + t^6. - t^4.12/y - t^4.12*y | detail | {a: 1203/2048, c: 1459/2048, X1: 3/2, M1: 7/8, M2: 1/2, M3: 1, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
| 379 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_2$ | 0.5508 | 0.6445 | 0.8545 | [X:[1.6667, 1.3333], M:[0.8333, 0.3333, 1.0], q:[0.8333, 0.8333], qb:[0.3333, 0.6667], phi:[0.3333]] | t^2.5 + 2*t^3. + t^3.5 + 2*t^4. + 2*t^4.5 + 2*t^5. - t^4./y - t^4.*y | detail | {a: 141/256, c: 165/256, X1: 5/3, X2: 4/3, M1: 5/6, M2: 1/3, M3: 1, q1: 5/6, q2: 5/6, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 151 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6689 | 0.8347 | 0.8014 | [X:[], M:[0.6964, 0.7027, 0.6943], q:[0.8254, 0.8254], qb:[0.4782, 0.4741], phi:[0.3492]] | t^2.08 + t^2.09 + t^2.1 + t^2.11 + t^2.86 + 3*t^3.9 + t^3.91 + 2*t^4.17 + 3*t^4.18 + 2*t^4.19 + 2*t^4.2 + t^4.22 + t^4.94 + 3*t^4.95 + t^4.96 + t^5.71 + 2*t^5.98 + 4*t^5.99 - t^6. - t^4.05/y - t^4.05*y | detail |