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 |
|---|---|---|---|---|---|---|---|---|---|
| 479 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ | 0.5526 | 0.6831 | 0.809 | [X:[1.412], M:[0.9176, 0.588, 1.0824, 1.0], q:[0.8324, 0.75], qb:[0.25, 0.4972], phi:[0.4176]] | [X:[[5]], M:[[-1], [-5], [1], [0]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ X_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_4$, $ M_3\phi_1^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 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 | g1^3*t^2.24 + t^2.51/g1^2 + t^2.75/g1 + t^3. + g1*t^3.25 + g1^2*t^3.49 + g1^3*t^3.74 + g1^4*t^3.99 + g1^5*t^4.24 + g1^6*t^4.48 + 2*g1*t^4.75 + g1^2*t^4.99 + t^5.01/g1^4 + g1^3*t^5.24 + g1^4*t^5.49 + t^5.51/g1^2 + g1^5*t^5.74 + t^5.75/g1 + g1^6*t^5.98 + g1^7*t^6.23 + g1*t^6.25 + g1^8*t^6.48 + 2*g1^2*t^6.49 - t^6.51/g1^4 + g1^9*t^6.72 + 2*g1^3*t^6.74 - t^6.76/g1^3 + 3*g1^4*t^6.99 - t^7.01/g1^2 + 3*g1^5*t^7.24 + 3*g1^6*t^7.48 - t^7.5 + t^7.52/g1^6 + 2*g1^7*t^7.73 + 3*g1^8*t^7.98 + 2*g1^9*t^8.22 - g1^3*t^8.24 + 2*g1^10*t^8.47 + g1^4*t^8.49 - t^8.51/g1^2 + g1^11*t^8.72 + 2*g1^5*t^8.74 - (2*t^8.75)/g1 + g1^12*t^8.97 + 2*g1^6*t^8.98 - t^4.25/(g1*y) - t^6.76/(g1^3*y) + (2*g1*t^7.75)/y + (g1^2*t^7.99)/y + (g1^3*t^8.24)/y + t^8.26/(g1^3*y) + (g1^4*t^8.49)/y + t^8.51/(g1^2*y) + (g1^5*t^8.74)/y + (2*t^8.75)/(g1*y) + (g1^6*t^8.98)/y - (t^4.25*y)/g1 - (t^6.76*y)/g1^3 + 2*g1*t^7.75*y + g1^2*t^7.99*y + g1^3*t^8.24*y + (t^8.26*y)/g1^3 + g1^4*t^8.49*y + (t^8.51*y)/g1^2 + g1^5*t^8.74*y + (2*t^8.75*y)/g1 + g1^6*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 |
|---|---|---|---|---|---|---|---|---|
| 765 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5367 | 0.6539 | 0.8208 | [X:[1.625], M:[0.875, 0.375, 1.125, 1.0], q:[0.875, 0.75], qb:[0.25, 0.625], 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, X1: 13/8, M1: 7/8, M2: 3/8, M3: 9/8, M4: 1, q1: 7/8, q2: 3/4, qb1: 1/4, qb2: 5/8, phi1: 3/8} |
| 1859 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5q_1\tilde{q}_2$ | 0.5734 | 0.7245 | 0.7915 | [X:[1.4135], M:[0.9173, 0.5865, 1.0827, 1.0, 0.6692], q:[0.8327, 0.75], qb:[0.25, 0.4981], phi:[0.4173]] | t^2.01 + t^2.24 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.74 + t^4.02 + t^4.24 + t^4.25 + t^4.49 + t^4.51 + 2*t^4.75 + t^4.76 + t^5. + 2*t^5.01 + t^5.24 + t^5.26 + t^5.49 + 2*t^5.5 + t^5.74 + 2*t^5.75 + t^5.99 - t^4.25/y - t^4.25*y | detail | |
| 1858 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5q_2\tilde{q}_2$ | 0.5719 | 0.7171 | 0.7975 | [X:[1.4402], M:[0.912, 0.5598, 1.088, 1.0, 0.7359], q:[0.838, 0.75], qb:[0.25, 0.5141], 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 | |
| 770 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | 0.5498 | 0.6748 | 0.8147 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0], q:[0.85, 0.75], qb:[0.25, 0.55], 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, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |
| 767 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ q_2\tilde{q}_1\tilde{q}_2^2$ | 0.5526 | 0.6828 | 0.8093 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0], q:[0.8333, 0.75], qb:[0.25, 0.5], 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, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
| 768 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_2$ | 0.474 | 0.5573 | 0.8505 | [X:[1.8333, 1.3333], M:[0.8333, 0.1667, 1.1667, 1.0], q:[0.9167, 0.75], qb:[0.25, 0.75], 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: 11/6, X2: 4/3, M1: 5/6, M2: 1/6, M3: 7/6, M4: 1, q1: 11/12, q2: 3/4, qb1: 1/4, qb2: 3/4, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 305 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118], M:[1.0196, 0.5882, 0.9804, 0.7451], q:[0.6667, 0.9412], qb:[0.3137, 0.5098], 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, X1: 24/17, M1: 52/51, M2: 10/17, M3: 50/51, M4: 38/51, q1: 2/3, q2: 16/17, qb1: 16/51, qb2: 26/51, phi1: 20/51} |