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 |
|---|---|---|---|---|---|---|---|---|---|
| 46322 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ | 0.5526 | 0.6831 | 0.809 | [X:[], M:[0.9176, 1.0824, 1.0], q:[0.6264, 0.456], qb:[0.2912, 0.956], phi:[0.4176]] | [X:[], M:[[-2], [2], [0]], q:[[-3], [5]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ M_3q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_3\phi_1^2$, $ \phi_1q_2^2\tilde{q}_1^2$, $ M_1M_3$, $ M_2\phi_1^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | t^2.24 + t^2.51 + t^2.75 + t^3. + t^3.25 + t^3.49 + t^3.74 + t^3.99 + t^4.24 + t^4.48 + 2*t^4.75 + t^4.99 + t^5.01 + t^5.24 + t^5.49 + t^5.51 + t^5.74 + t^5.75 + t^5.98 + t^6.23 + t^6.25 + t^6.48 + 2*t^6.49 - t^6.51 + t^6.72 + 2*t^6.74 - t^6.76 + 3*t^6.99 - t^7.01 + 3*t^7.24 + 3*t^7.48 - t^7.5 + t^7.52 + 2*t^7.73 + 3*t^7.98 + 2*t^8.22 - t^8.24 + 2*t^8.47 + t^8.49 - t^8.51 + t^8.72 + 2*t^8.74 - 2*t^8.75 + t^8.97 + 2*t^8.98 - t^4.25/y - t^6.76/y + (2*t^7.75)/y + t^7.99/y + t^8.24/y + t^8.26/y + t^8.49/y + t^8.51/y + t^8.74/y + (2*t^8.75)/y + t^8.98/y - t^4.25*y - t^6.76*y + 2*t^7.75*y + t^7.99*y + t^8.24*y + t^8.26*y + t^8.49*y + t^8.51*y + t^8.74*y + 2*t^8.75*y + t^8.98*y | g1^6*t^2.24 + t^2.51/g1^4 + t^2.75/g1^2 + t^3. + g1^2*t^3.25 + g1^4*t^3.49 + g1^6*t^3.74 + g1^8*t^3.99 + g1^10*t^4.24 + g1^12*t^4.48 + 2*g1^2*t^4.75 + g1^4*t^4.99 + t^5.01/g1^8 + g1^6*t^5.24 + g1^8*t^5.49 + t^5.51/g1^4 + g1^10*t^5.74 + t^5.75/g1^2 + g1^12*t^5.98 + g1^14*t^6.23 + g1^2*t^6.25 + g1^16*t^6.48 + 2*g1^4*t^6.49 - t^6.51/g1^8 + g1^18*t^6.72 + 2*g1^6*t^6.74 - t^6.76/g1^6 + 3*g1^8*t^6.99 - t^7.01/g1^4 + 3*g1^10*t^7.24 + 3*g1^12*t^7.48 - t^7.5 + t^7.52/g1^12 + 2*g1^14*t^7.73 + 3*g1^16*t^7.98 + 2*g1^18*t^8.22 - g1^6*t^8.24 + 2*g1^20*t^8.47 + g1^8*t^8.49 - t^8.51/g1^4 + g1^22*t^8.72 + 2*g1^10*t^8.74 - (2*t^8.75)/g1^2 + g1^24*t^8.97 + 2*g1^12*t^8.98 - t^4.25/(g1^2*y) - t^6.76/(g1^6*y) + (2*g1^2*t^7.75)/y + (g1^4*t^7.99)/y + (g1^6*t^8.24)/y + t^8.26/(g1^6*y) + (g1^8*t^8.49)/y + t^8.51/(g1^4*y) + (g1^10*t^8.74)/y + (2*t^8.75)/(g1^2*y) + (g1^12*t^8.98)/y - (t^4.25*y)/g1^2 - (t^6.76*y)/g1^6 + 2*g1^2*t^7.75*y + g1^4*t^7.99*y + g1^6*t^8.24*y + (t^8.26*y)/g1^6 + g1^8*t^8.49*y + (t^8.51*y)/g1^4 + g1^10*t^8.74*y + (2*t^8.75*y)/g1^2 + g1^12*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 46710 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2M_4$ | 0.5604 | 0.6948 | 0.8065 | [X:[], M:[0.9129, 1.0871, 1.0, 0.9129], q:[0.6194, 0.4677], qb:[0.2935, 0.9677], phi:[0.4129]] | t^2.28 + t^2.48 + 2*t^2.74 + t^3. + t^3.52 + t^3.78 + t^4.05 + t^4.31 + t^4.57 + 2*t^4.76 + t^4.95 + 2*t^5.02 + t^5.22 + t^5.28 + 3*t^5.48 + t^5.74 + t^5.81 - t^6. - t^4.24/y - t^4.24*y | detail | |
| 46415 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2q_2\tilde{q}_1$ | 0.5367 | 0.6539 | 0.8208 | [X:[], M:[0.875, 1.125, 1.0], q:[0.5625, 0.5625], qb:[0.3125, 1.0625], phi:[0.375]] | t^2.25 + 2*t^2.62 + t^3. + t^3.38 + t^3.75 + t^4.12 + 2*t^4.5 + 3*t^4.88 + 3*t^5.25 + 2*t^5.62 - t^4.12/y - t^4.12*y | detail | {a: 8793/16384, c: 10713/16384, M1: 7/8, M2: 9/8, M3: 1, q1: 9/16, q2: 9/16, qb1: 5/16, qb2: 17/16, phi1: 3/8} |
| 46745 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.5673 | 0.7067 | 0.8027 | [X:[], M:[0.9104, 1.0896, 1.0, 0.8208], q:[0.6156, 0.474], qb:[0.2948, 0.974], phi:[0.4104]] | 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^4.23/y - t^4.23*y | detail | |
| 46785 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.5719 | 0.7171 | 0.7975 | [X:[], M:[0.912, 1.088, 1.0, 0.7359], q:[0.6179, 0.4701], qb:[0.294, 0.9701], phi:[0.412]] | t^2.21 + t^2.29 + t^2.47 + t^2.74 + t^3. + t^3.26 + t^3.53 + t^4.06 + t^4.32 + t^4.42 + t^4.5 + t^4.58 + t^4.68 + 2*t^4.76 + 2*t^4.94 + t^5.03 + t^5.21 + t^5.29 + 2*t^5.47 + t^5.56 + 2*t^5.74 + t^5.82 - t^4.24/y - t^4.24*y | detail | |
| 46794 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ \phi_1q_2^2\tilde{q}_1^2$ | 0.5498 | 0.6748 | 0.8147 | [X:[], M:[0.9, 1.1, 1.0], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.9 + t^4.2 + t^4.5 + 4*t^4.8 + t^5.1 + 2*t^5.4 + 2*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 2199/4000, c: 2699/4000, M1: 9/10, M2: 11/10, M3: 1, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
| 46797 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.5526 | 0.6828 | 0.8093 | [X:[], M:[0.9167, 1.0833, 1.0], q:[0.625, 0.4583], qb:[0.2917, 0.9583], phi:[0.4167]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + 2*t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 3395/6144, c: 4195/6144, M1: 11/12, M2: 13/12, M3: 1, q1: 5/8, q2: 11/24, qb1: 7/24, qb2: 23/24, phi1: 5/12} |
| 46594 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ q_2^2\tilde{q}_1^2$ + $ \phi_1^2X_1$ | 0.474 | 0.5573 | 0.8505 | [X:[1.3333], M:[0.8333, 1.1667, 1.0], q:[0.5, 0.6667], qb:[0.3333, 1.1667], phi:[0.3333]] | t^2.5 + 2*t^3. + t^3.5 + 2*t^4. + 2*t^5. + t^5.5 - t^4./y - t^4.*y | detail | {a: 91/192, c: 107/192, X1: 4/3, M1: 5/6, M2: 7/6, M3: 1, q1: 1/2, q2: 2/3, qb1: 1/3, qb2: 7/6, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46007 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.5883 | 0.7268 | 0.8095 | [X:[], M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | t^2.24 + t^2.35 + t^2.47 + t^2.94 + t^3.06 + t^3.53 + t^3.65 + t^4.24 + t^4.35 + t^4.47 + t^4.59 + 2*t^4.71 + 2*t^4.82 + t^4.94 + t^5.18 + t^5.29 + t^5.41 + t^5.53 + t^5.76 + 2*t^5.88 - t^4.18/y - t^4.18*y | detail | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |