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 |
|---|---|---|---|---|---|---|---|---|---|
| 45764 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1^3\tilde{q}_1^3$ + $ M_1\phi_1^2q_1\tilde{q}_1$ | 0.9287 | 0.9889 | 0.9391 | [X:[1.643, 1.4646], M:[0.7139], q:[0.4409], qb:[0.4882], phi:[0.1785]] | [X:[[2], [3]], M:[[-4]], q:[[5]], qb:[[1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ X_2$, $ M_1q_1\tilde{q}_1$, $ X_1$, $ M_1\phi_1q_1\tilde{q}_1$, $ \phi_1^3q_1^3$, $ q_1^2\tilde{q}_1^2$ | . | -1 | t^2.14 + t^2.79 + t^3.32 + t^4.28 + t^4.39 + 2*t^4.93 + t^5.46 + 2*t^5.57 - t^6. + t^6.11 + t^6.43 + t^6.65 + 2*t^7.07 + t^7.18 + 2*t^7.61 + 3*t^7.72 - t^8.14 + 2*t^8.36 + t^8.57 - 2*t^8.68 - t^8.79 + 2*t^8.9 + t^7.61/y^2 - t^8.68/y^2 - t^3.54/y - t^4.07/y - t^5.68/y - t^6.21/y - t^6.32/y - t^6.86/y - t^7.82/y + t^7.93/y - t^8.35/y - t^8.46/y - t^3.54*y - t^4.07*y - t^5.68*y - t^6.21*y - t^6.32*y - t^6.86*y - t^7.82*y + t^7.93*y - t^8.35*y - t^8.46*y + t^7.61*y^2 - t^8.68*y^2 | t^2.14/g1^4 + g1^6*t^2.79 + g1^5*t^3.32 + t^4.28/g1^8 + g1^3*t^4.39 + 2*g1^2*t^4.93 + g1*t^5.46 + 2*g1^12*t^5.57 - t^6. + g1^11*t^6.11 + t^6.43/g1^12 + g1^10*t^6.65 + (2*t^7.07)/g1^2 + g1^9*t^7.18 + (2*t^7.61)/g1^3 + 3*g1^8*t^7.72 - t^8.14/g1^4 + 2*g1^18*t^8.36 + t^8.57/g1^16 - (2*t^8.68)/g1^5 - g1^6*t^8.79 + 2*g1^17*t^8.9 + t^7.61/(g1^3*y^2) - t^8.68/(g1^5*y^2) - t^3.54/(g1*y) - t^4.07/(g1^2*y) - t^5.68/(g1^5*y) - t^6.21/(g1^6*y) - (g1^5*t^6.32)/y - (g1^4*t^6.86)/y - t^7.82/(g1^9*y) + (g1^2*t^7.93)/y - t^8.35/(g1^10*y) - (g1*t^8.46)/y - (t^3.54*y)/g1 - (t^4.07*y)/g1^2 - (t^5.68*y)/g1^5 - (t^6.21*y)/g1^6 - g1^5*t^6.32*y - g1^4*t^6.86*y - (t^7.82*y)/g1^9 + g1^2*t^7.93*y - (t^8.35*y)/g1^10 - g1*t^8.46*y + (t^7.61*y^2)/g1^3 - (t^8.68*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45786 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1^3\tilde{q}_1^3$ + $ M_1\phi_1^2q_1\tilde{q}_1$ + $ M_1^2$ + $ q_1\tilde{q}_1X_3$ | 0.6753 | 0.7534 | 0.8963 | [X:[1.5, 1.25, 1.5], M:[1.0], q:[0.0833], qb:[0.4167], phi:[0.25]] | t^2.25 + 2*t^3. + t^3.75 + 3*t^4.5 + 2*t^5.25 + 2*t^6. - t^3.75/y - t^4.5/y - t^3.75*y - t^4.5*y | detail | {a: 1383/2048, c: 1543/2048, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, q1: 1/12, qb1: 5/12, phi1: 1/4} |
| 45777 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1^3\tilde{q}_1^3$ + $ M_1\phi_1^2q_1\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ | 0.924 | 0.9776 | 0.9452 | [X:[1.6572, 1.4858], M:[0.6856, 1.0283], q:[0.4764], qb:[0.4953], phi:[0.1714]] | t^2.06 + t^3.08 + t^3.43 + t^4.11 + t^4.46 + t^4.97 + t^5.14 + t^5.49 + t^5.83 - t^6. - t^3.51/y - t^4.03/y - t^5.57/y - t^3.51*y - t^4.03*y - t^5.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45757 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1^3\tilde{q}_1^3$ | 0.9085 | 0.9521 | 0.9542 | [X:[1.6403, 1.4605], M:[], q:[0.4342], qb:[0.4868], phi:[0.1798]] | t^2.76 + t^3.3 + t^3.84 + t^4.38 + t^4.92 + 2*t^5.53 - t^6. - t^3.54/y - t^4.08/y - t^3.54*y - t^4.08*y | detail |