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 |
|---|---|---|---|---|---|---|---|---|---|
| 8228 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ | 1.1778 | 1.3093 | 0.8996 | [X:[1.6457], M:[0.8448, 0.8858], q:[0.489, 0.4481], qb:[], phi:[0.1772]] | [X:[[0, 2]], M:[[2, -11], [0, -5]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_1\phi_1^4$, $ M_2\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1q_1q_2$, $ \phi_1^5q_2^2$, $ M_2q_1q_2$, $ q_1^2q_2^2$, $ M_1\phi_1q_2^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.13 + t^2.53 + t^2.66 + t^2.81 + t^3.22 + t^3.87 + t^4.25 + t^4.28 + t^4.41 + t^4.53 + t^4.66 + t^4.78 + 2*t^4.94 + t^5.07 + t^5.19 + t^5.31 + 2*t^5.35 + t^5.47 + t^5.62 + t^5.75 - t^6. + t^6.03 - t^6.12 + t^6.38 + t^6.41 + t^6.44 + t^6.53 + t^6.69 + t^6.79 + t^6.82 + t^6.91 + t^6.94 + 3*t^7.06 + 2*t^7.09 + t^7.19 + t^7.22 + t^7.32 + t^7.34 + t^7.44 + 2*t^7.47 + t^7.5 + t^7.59 + t^7.6 + t^7.63 - t^7.72 + t^7.73 + 3*t^7.75 + t^7.85 + 2*t^7.88 + t^7.97 + t^8. + t^8.13 + 3*t^8.16 - t^8.25 + t^8.28 + t^8.29 + t^8.43 + t^8.5 - t^8.53 + 3*t^8.57 - 3*t^8.66 + t^8.69 - t^8.78 + t^8.84 + t^8.91 + t^8.94 + t^8.97 + t^8.13/y^2 - t^8.66/y^2 - t^3.53/y - t^4.59/y - t^5.66/y - t^6.07/y - t^6.19/y - t^6.34/y - t^6.72/y - t^6.75/y - t^7.13/y - t^7.25/y - t^7.41/y + t^7.66/y - t^7.81/y + t^7.94/y - t^8.31/y + (2*t^8.35)/y - t^8.6/y - t^8.72/y + t^8.75/y - (2*t^8.85)/y - t^8.88/y - t^3.53*y - t^4.59*y - t^5.66*y - t^6.07*y - t^6.19*y - t^6.34*y - t^6.72*y - t^6.75*y - t^7.13*y - t^7.25*y - t^7.41*y + t^7.66*y - t^7.81*y + t^7.94*y - t^8.31*y + 2*t^8.35*y - t^8.6*y - t^8.72*y + t^8.75*y - 2*t^8.85*y - t^8.88*y + t^8.13*y^2 - t^8.66*y^2 | t^2.13/g2^4 + (g1^2*t^2.53)/g2^11 + t^2.66/g2^5 + g2^6*t^2.81 + (g1^2*t^3.22)/g2 + g2^4*t^3.87 + t^4.25/g2^8 + (g1^2*t^4.28)/g2^3 + g2^3*t^4.41 + (g2^9*t^4.53)/g1^2 + (g1^2*t^4.66)/g2^15 + t^4.78/g2^9 + 2*g2^2*t^4.94 + (g1^4*t^5.07)/g2^22 + (g1^2*t^5.19)/g2^16 + t^5.31/g2^10 + (2*g1^2*t^5.35)/g2^5 + g2*t^5.47 + g2^12*t^5.62 + (g1^4*t^5.75)/g2^12 - t^6. + g1^2*g2^5*t^6.03 - (g2^6*t^6.12)/g1^2 + t^6.38/g2^12 + (g1^2*t^6.41)/g2^7 + (g1^4*t^6.44)/g2^2 + t^6.53/g2 + g2^10*t^6.69 + (g1^2*t^6.79)/g2^19 + (g1^4*t^6.82)/g2^14 + t^6.91/g2^13 + (g1^2*t^6.94)/g2^8 + (3*t^7.06)/g2^2 + 2*g1^2*g2^3*t^7.09 + (g1^4*t^7.19)/g2^26 + g2^9*t^7.22 + (g1^2*t^7.32)/g2^20 + (g2^15*t^7.34)/g1^2 + t^7.44/g2^14 + (2*g1^2*t^7.47)/g2^9 + (g1^4*t^7.5)/g2^4 + t^7.59/g2^3 + (g1^6*t^7.6)/g2^33 + g1^2*g2^2*t^7.63 - (g2^3*t^7.72)/g1^2 + (g1^4*t^7.73)/g2^27 + 3*g2^8*t^7.75 + (g1^2*t^7.85)/g2^21 + (2*g1^4*t^7.88)/g2^16 + t^7.97/g2^15 + (g1^2*t^8.)/g2^10 + t^8.13/g2^4 + 3*g1^2*g2*t^8.16 - (g2^2*t^8.25)/g1^2 + g2^7*t^8.28 + (g1^6*t^8.29)/g2^23 + g2^18*t^8.43 + t^8.5/g2^16 - (g1^2*t^8.53)/g2^11 + (3*g1^4*t^8.57)/g2^6 - (3*t^8.66)/g2^5 + g1^2*t^8.69 - (g2*t^8.78)/g1^2 + g1^2*g2^11*t^8.84 + (g1^2*t^8.91)/g2^23 + (g1^4*t^8.94)/g2^18 + (g1^6*t^8.97)/g2^13 + t^8.13/(g2^4*y^2) - t^8.66/(g2^5*y^2) - t^3.53/(g2*y) - t^4.59/(g2^3*y) - t^5.66/(g2^5*y) - (g1^2*t^6.07)/(g2^12*y) - t^6.19/(g2^6*y) - (g2^5*t^6.34)/y - t^6.72/(g2^7*y) - (g1^2*t^6.75)/(g2^2*y) - (g1^2*t^7.13)/(g2^14*y) - t^7.25/(g2^8*y) - (g2^3*t^7.41)/y + (g1^2*t^7.66)/(g2^15*y) - (g1^2*t^7.81)/(g2^4*y) + (g2^2*t^7.94)/y - t^8.31/(g2^10*y) + (2*g1^2*t^8.35)/(g2^5*y) - (g1^4*t^8.6)/(g2^23*y) - (g1^2*t^8.72)/(g2^17*y) + (g1^4*t^8.75)/(g2^12*y) - (2*t^8.85)/(g2^11*y) - (g1^2*t^8.88)/(g2^6*y) - (t^3.53*y)/g2 - (t^4.59*y)/g2^3 - (t^5.66*y)/g2^5 - (g1^2*t^6.07*y)/g2^12 - (t^6.19*y)/g2^6 - g2^5*t^6.34*y - (t^6.72*y)/g2^7 - (g1^2*t^6.75*y)/g2^2 - (g1^2*t^7.13*y)/g2^14 - (t^7.25*y)/g2^8 - g2^3*t^7.41*y + (g1^2*t^7.66*y)/g2^15 - (g1^2*t^7.81*y)/g2^4 + g2^2*t^7.94*y - (t^8.31*y)/g2^10 + (2*g1^2*t^8.35*y)/g2^5 - (g1^4*t^8.6*y)/g2^23 - (g1^2*t^8.72*y)/g2^17 + (g1^4*t^8.75*y)/g2^12 - (2*t^8.85*y)/g2^11 - (g1^2*t^8.88*y)/g2^6 + (t^8.13*y^2)/g2^4 - (t^8.66*y^2)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8477 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ | 1.1553 | 1.2892 | 0.8961 | [X:[1.6072], M:[1.0179, 0.9821], q:[0.3928, 0.4286], qb:[], phi:[0.1964]] | t^2.36 + t^2.46 + t^2.95 + t^3.05 + t^3.16 + t^3.64 + t^4.12 + t^4.23 + t^4.34 + t^4.71 + 2*t^4.82 + t^4.93 + t^5.3 + 2*t^5.41 + 2*t^5.52 + t^5.63 - t^3.59/y - t^4.77/y - t^5.95/y - t^3.59*y - t^4.77*y - t^5.95*y | detail | |
| 8473 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ | 1.108 | 1.2425 | 0.8917 | [X:[1.5797], M:[1.1594, 1.0508], q:[0.3152, 0.4239], qb:[], phi:[0.2102]] | t^2.22 + t^2.52 + t^3.15 + t^3.17 + 2*t^3.48 + t^3.78 + t^4.11 + 2*t^4.43 + 2*t^4.74 + t^5.04 + t^5.37 + t^5.39 + 3*t^5.7 + t^6. - t^3.63/y - t^4.89/y - t^5.85/y - t^3.63*y - t^4.89*y - t^5.85*y | detail | |
| 8476 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1^2$ | 1.1618 | 1.2914 | 0.8996 | [X:[1.623], M:[1.0, 0.9426], q:[0.4057, 0.4631], qb:[], phi:[0.1885]] | t^2.26 + t^2.61 + t^2.83 + t^3. + t^3.34 + t^3.74 + t^4.13 + t^4.3 + t^4.48 + t^4.52 + 2*t^4.87 + t^5.09 + t^5.21 + t^5.26 + t^5.43 + 2*t^5.61 + t^5.66 + t^5.95 - t^3.57/y - t^4.7/y - t^5.83/y - t^3.57*y - t^4.7*y - t^5.83*y | detail | |
| 8475 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ q_1q_2X_2$ | 1.0711 | 1.1986 | 0.8936 | [X:[1.5556, 1.3333], M:[1.0714, 1.1111], q:[0.3532, 0.3135], qb:[], phi:[0.2222]] | t^2.55 + t^2.67 + t^3.21 + 2*t^3.33 + t^3.88 + 2*t^4. + t^4.12 + t^4.67 + t^5.09 + t^5.21 + t^5.33 + t^5.76 + 2*t^5.88 - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | |
| 8478 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_2^2$ | 1.1556 | 1.296 | 0.8917 | [X:[1.6], M:[0.9546, 1.0], q:[0.4227, 0.3773], qb:[], phi:[0.2]] | 2*t^2.4 + 2*t^2.86 + t^3. + t^3.6 + t^4.06 + t^4.2 + t^4.34 + 4*t^4.8 + 4*t^5.26 + 2*t^5.4 + 3*t^5.73 + t^5.86 + t^6. - t^3.6/y - t^4.8/y - (2*t^6.)/y - t^3.6*y - t^4.8*y - 2*t^6.*y | detail | |
| 8484 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1q_2$ | 1.1982 | 1.3478 | 0.889 | [X:[1.6476], M:[0.8405, 0.881, 0.7048], q:[0.4916, 0.4511], qb:[], phi:[0.1762]] | 2*t^2.11 + t^2.52 + t^2.64 + t^2.83 + t^3.24 + 3*t^4.23 + t^4.29 + t^4.41 + t^4.54 + 2*t^4.64 + 2*t^4.76 + 3*t^4.94 + t^5.04 + t^5.16 + t^5.29 + 3*t^5.35 + t^5.47 + t^5.66 + t^5.76 - 2*t^6. - t^3.53/y - t^4.59/y - (2*t^5.64)/y - t^3.53*y - t^4.59*y - 2*t^5.64*y | detail | |
| 8495 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.9465 | 1.0057 | 0.9411 | [X:[1.7293, 1.4585], M:[1.0829, 0.6768], q:[0.3909, 0.797], qb:[], phi:[0.1354]] | t^2.03 + t^3.25 + 2*t^3.56 + t^4.06 + 2*t^4.38 + t^5.19 + t^5.28 + t^5.59 - 2*t^6. - t^3.41/y - t^4.22/y - t^5.44/y - t^3.41*y - t^4.22*y - t^5.44*y | detail | {a: 110200/116427, c: 117095/116427, X1: 1022/591, X2: 862/591, M1: 640/591, M2: 400/591, q1: 77/197, q2: 157/197, phi1: 80/591} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8191 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 1.1686 | 1.2966 | 0.9013 | [X:[1.6354], M:[0.8685], q:[0.4746, 0.4317], qb:[], phi:[0.1823]] | t^2.19 + t^2.61 + t^2.72 + t^3.14 + t^3.27 + t^3.81 + t^4.23 + t^4.36 + t^4.37 + t^4.49 + t^4.79 + 2*t^4.91 + t^5.21 + 2*t^5.32 + t^5.44 + t^5.45 + t^5.74 + t^5.86 + t^5.98 - t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y | detail |