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 |
|---|---|---|---|---|---|---|---|---|---|
| 766 | 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_3M_5$ + $ M_4^2$ | 0.5604 | 0.6948 | 0.8065 | [X:[1.4355], M:[0.9129, 0.5645, 1.0871, 1.0, 0.9129], q:[0.8371, 0.75], qb:[0.25, 0.5113], phi:[0.4129]] | [X:[[5]], M:[[-1], [-5], [1], [0], [-1]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_4$, $ \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$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | 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^6.07 + t^6.26 + t^6.33 - t^6.45 + 2*t^6.52 + t^6.59 - t^6.72 + 2*t^6.78 + t^6.85 - t^6.98 + 3*t^7.05 + 3*t^7.31 + t^7.43 + t^7.5 + 2*t^7.57 + t^7.69 + 2*t^7.76 + t^7.83 + t^7.95 - t^8.02 + 3*t^8.09 + 2*t^8.22 - 2*t^8.28 + 2*t^8.35 + t^8.55 + 2*t^8.61 - 4*t^8.74 + 2*t^8.81 + t^8.87 - t^4.24/y - t^6.72/y - t^6.98/y + t^7.5/y + (2*t^7.76)/y + (2*t^8.02)/y + (2*t^8.22)/y + t^8.28/y + (2*t^8.48)/y + (2*t^8.74)/y + t^8.81/y - t^4.24*y - t^6.72*y - t^6.98*y + t^7.5*y + 2*t^7.76*y + 2*t^8.02*y + 2*t^8.22*y + t^8.28*y + 2*t^8.48*y + 2*t^8.74*y + t^8.81*y | g1^3*t^2.28 + t^2.48/g1^2 + (2*t^2.74)/g1 + t^3. + g1^2*t^3.52 + g1^3*t^3.78 + g1^4*t^4.05 + g1^5*t^4.31 + g1^6*t^4.57 + 2*g1*t^4.76 + t^4.95/g1^4 + 2*g1^2*t^5.02 + t^5.22/g1^3 + g1^3*t^5.28 + (3*t^5.48)/g1^2 + t^5.74/g1 + g1^5*t^5.81 - t^6. + g1^6*t^6.07 + g1*t^6.26 + g1^7*t^6.33 - t^6.45/g1^4 + 2*g1^2*t^6.52 + g1^8*t^6.59 - t^6.72/g1^3 + 2*g1^3*t^6.78 + g1^9*t^6.85 - t^6.98/g1^2 + 3*g1^4*t^7.05 + 3*g1^5*t^7.31 + t^7.43/g1^6 + t^7.5 + 2*g1^6*t^7.57 + t^7.69/g1^5 + 2*g1*t^7.76 + g1^7*t^7.83 + t^7.95/g1^4 - g1^2*t^8.02 + 3*g1^8*t^8.09 + (2*t^8.22)/g1^3 - 2*g1^3*t^8.28 + 2*g1^9*t^8.35 + g1^4*t^8.55 + 2*g1^10*t^8.61 - (4*t^8.74)/g1 + 2*g1^5*t^8.81 + g1^11*t^8.87 - t^4.24/(g1*y) - t^6.72/(g1^3*y) - t^6.98/(g1^2*y) + t^7.5/y + (2*g1*t^7.76)/y + (2*g1^2*t^8.02)/y + (2*t^8.22)/(g1^3*y) + (g1^3*t^8.28)/y + (2*t^8.48)/(g1^2*y) + (2*t^8.74)/(g1*y) + (g1^5*t^8.81)/y - (t^4.24*y)/g1 - (t^6.72*y)/g1^3 - (t^6.98*y)/g1^2 + t^7.5*y + 2*g1*t^7.76*y + 2*g1^2*t^8.02*y + (2*t^8.22*y)/g1^3 + g1^3*t^8.28*y + (2*t^8.48*y)/g1^2 + (2*t^8.74*y)/g1 + g1^5*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 1997 | $\phi_1q_1q_2$ + $ 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_3M_5$ + $ M_4^2$ + $ M_6q_2\tilde{q}_2$ | 0.5801 | 0.7306 | 0.794 | [X:[1.4597], M:[0.9081, 0.5403, 1.0919, 1.0, 0.9081, 0.7242], q:[0.8419, 0.75], qb:[0.25, 0.5258], phi:[0.4081]] | t^2.17 + t^2.33 + t^2.45 + 2*t^2.72 + t^3. + t^3.55 + t^4.1 + t^4.35 + t^4.38 + t^4.5 + t^4.62 + t^4.65 + 2*t^4.78 + 3*t^4.9 + 2*t^5.05 + 2*t^5.17 + t^5.33 + 3*t^5.45 + 2*t^5.72 + t^5.88 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 1248 | $\phi_1q_1q_2$ + $ 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_3M_5$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | 0.5588 | 0.6901 | 0.8098 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0, 0.9], q:[0.85, 0.75], qb:[0.25, 0.55], phi:[0.4]] | 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + t^3.9 + t^4.2 + t^4.5 + 4*t^4.8 + 3*t^5.1 + 4*t^5.4 + t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 17883/32000, c: 22083/32000, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, M5: 9/10, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |
| 1247 | $\phi_1q_1q_2$ + $ 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_3M_5$ + $ M_4^2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_2$ | 0.4883 | 0.582 | 0.8389 | [X:[1.8333, 1.3333], M:[0.8333, 0.1667, 1.1667, 1.0, 0.8333], q:[0.9167, 0.75], qb:[0.25, 0.75], phi:[0.3333]] | 2*t^2.5 + 2*t^3. + 2*t^4. + 4*t^5. + 3*t^5.5 - t^6. - t^4./y - t^4.*y | detail | {a: 125/256, c: 149/256, X1: 11/6, X2: 4/3, M1: 5/6, M2: 1/6, M3: 7/6, M4: 1, M5: 5/6, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 480 | 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_3M_5$ | 0.5873 | 0.7232 | 0.8121 | [X:[1.4354], M:[1.0024, 0.5646, 0.9976, 0.7764, 1.0024], q:[0.6917, 0.9177], qb:[0.3059, 0.5224], phi:[0.3906]] | t^2.33 + t^2.34 + t^2.48 + 2*t^3.01 + t^3.64 + t^3.66 + t^4.31 + t^4.32 + t^4.66 + t^4.67 + t^4.69 + t^4.81 + 2*t^4.83 + t^4.97 + t^5.34 + t^5.35 + 2*t^5.49 + t^5.97 + t^5.99 - 2*t^6. - t^4.17/y - t^4.17*y | detail |