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 |
|---|---|---|---|---|---|---|---|---|---|
| 8197 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ | 1.1667 | 1.2917 | 0.9032 | [X:[1.6363], M:[0.9092], q:[0.4546, 0.4544], qb:[], phi:[0.1818]] | [X:[[4]], M:[[-10]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_1\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1q_1q_2$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$, $ M_1^2$, $ \phi_1^5q_1^2$ | $M_1\phi_1q_1^2$, $ \phi_1^6q_1q_2$, $ M_1\phi_1q_2^2$, $ \phi_1q_1q_2^3$ | 1 | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 4*t^4.36 + 3*t^4.91 + 3*t^5.45 + 2*t^5.46 + t^6. + 3*t^6.54 + 3*t^6.55 + 8*t^7.09 + t^7.63 + 9*t^7.64 + 8*t^8.18 + 8*t^8.73 + t^8.18/y^2 - t^8.73/y^2 - t^3.55/y - t^4.64/y - t^5.73/y - (2*t^6.27)/y - (3*t^6.82)/y - (2*t^7.36)/y - t^7.91/y + t^8.45/y - t^3.55*y - t^4.64*y - t^5.73*y - 2*t^6.27*y - 3*t^6.82*y - 2*t^7.36*y - t^7.91*y + t^8.45*y + t^8.18*y^2 - t^8.73*y^2 | t^2.18/g1^8 + t^2.73/g1^10 + g1^12*t^2.73 + t^3.27/g1^12 + g1^32*t^3.27 + g1^8*t^3.82 + (2*t^4.36)/g1^16 + g1^6*t^4.36 + g1^28*t^4.36 + t^4.91/g1^18 + 2*g1^4*t^4.91 + g1^2*t^5.45 + 2*g1^24*t^5.45 + (2*t^5.46)/g1^20 + g1^44*t^6. + 2*g1^20*t^6.54 + g1^64*t^6.54 + (2*t^6.55)/g1^24 + t^6.55/g1^2 + t^7.09/g1^26 + (4*t^7.09)/g1^4 + g1^18*t^7.09 + 2*g1^40*t^7.09 + g1^60*t^7.63 + (2*t^7.64)/g1^28 + (2*t^7.64)/g1^6 + 4*g1^16*t^7.64 + g1^38*t^7.64 + t^8.18/g1^30 + (3*t^8.18)/g1^8 + g1^14*t^8.18 + 3*g1^36*t^8.18 + (3*t^8.73)/g1^32 - t^8.73/g1^10 + 2*g1^12*t^8.73 + g1^34*t^8.73 + 3*g1^56*t^8.73 + t^8.18/(g1^8*y^2) - t^8.73/(g1^10*y^2) - t^3.55/(g1^2*y) - t^4.64/(g1^6*y) - t^5.73/(g1^10*y) - t^6.27/(g1^12*y) - (g1^10*t^6.27)/y - (2*t^6.82)/(g1^14*y) - (g1^30*t^6.82)/y - t^7.36/(g1^16*y) - (g1^6*t^7.36)/y - t^7.91/(g1^18*y) + (g1^4*t^7.91)/y - (g1^26*t^7.91)/y + (g1^24*t^8.45)/y - (t^3.55*y)/g1^2 - (t^4.64*y)/g1^6 - (t^5.73*y)/g1^10 - (t^6.27*y)/g1^12 - g1^10*t^6.27*y - (2*t^6.82*y)/g1^14 - g1^30*t^6.82*y - (t^7.36*y)/g1^16 - g1^6*t^7.36*y - (t^7.91*y)/g1^18 + g1^4*t^7.91*y - g1^26*t^7.91*y + g1^24*t^8.45*y + (t^8.18*y^2)/g1^8 - (t^8.73*y^2)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8401 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ \phi_1q_2^2X_2$ + $ q_1q_2X_3$ | 0.8534 | 0.9506 | 0.8977 | [X:[1.5556, 1.5556, 1.3333], M:[1.1111], q:[0.5556, 0.1111], qb:[], phi:[0.2222]] | 2*t^2.67 + 2*t^3.33 + 3*t^4. + t^4.67 + 3*t^5.33 - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 553/648, c: 77/81, X1: 14/9, X2: 14/9, X3: 4/3, M1: 10/9, q1: 5/9, q2: 1/9, phi1: 2/9} |
| 8369 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1755 | 1.3079 | 0.8987 | [X:[1.633], M:[0.9175, 0.8989], q:[0.4588, 0.4402], qb:[], phi:[0.1835]] | t^2.2 + 2*t^2.7 + t^2.75 + t^3.19 + t^3.8 + t^4.29 + t^4.35 + 2*t^4.4 + 3*t^4.9 + t^4.95 + 4*t^5.39 + 2*t^5.45 + t^5.51 + 2*t^5.89 - t^6. - t^3.55/y - t^4.65/y - t^5.75/y - t^3.55*y - t^4.65*y - t^5.75*y | detail | |
| 8372 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ | 1.1778 | 1.3097 | 0.8993 | [X:[1.6443], M:[0.8892, 0.8455], q:[0.4446, 0.4883], qb:[], phi:[0.1778]] | t^2.13 + t^2.54 + t^2.67 + t^2.8 + t^3.2 + t^3.87 + 2*t^4.27 + t^4.4 + t^4.53 + t^4.67 + t^4.8 + 2*t^4.93 + t^5.07 + t^5.2 + 3*t^5.34 + t^5.47 + t^5.6 + t^5.74 - t^3.53/y - t^4.6/y - t^5.67/y - t^3.53*y - t^4.6*y - t^5.67*y | detail | |
| 8361 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1^4$ | 1.1469 | 1.2552 | 0.9137 | [X:[1.6355], M:[0.9113, 1.271], q:[0.4556, 0.4508], qb:[], phi:[0.1823]] | t^2.72 + t^2.73 + t^3.25 + t^3.28 + 2*t^3.81 + t^4.35 + t^4.36 + t^4.37 + t^4.91 + t^5.44 + t^5.45 + t^5.47 + t^5.97 - t^6. - t^3.55/y - t^4.64/y - t^3.55*y - t^4.64*y | detail | |
| 8366 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ | 1.1588 | 1.2776 | 0.907 | [X:[1.6399], M:[0.9003, 1.0804], q:[0.4502, 0.4694], qb:[], phi:[0.1801]] | t^2.16 + t^2.7 + 2*t^3.24 + t^3.36 + t^3.84 + 2*t^4.32 + t^4.38 + t^4.44 + t^4.86 + t^4.92 + 3*t^5.4 + t^5.52 + t^5.94 - t^6. - t^3.54/y - t^4.62/y - t^5.7/y - t^3.54*y - t^4.62*y - t^5.7*y | detail | |
| 8391 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.9566 | 1.0281 | 0.9305 | [X:[1.7143, 1.4286], M:[0.7143], q:[0.3571, 0.7857], qb:[], phi:[0.1429]] | t^2.14 + t^2.57 + 2*t^3.43 + 3*t^4.29 + t^4.71 + 2*t^5.14 + t^5.57 - t^3.43/y - t^4.29/y - t^5.57/y - t^6./y - t^3.43*y - t^4.29*y - t^5.57*y - t^6.*y | detail | {a: 375/392, c: 403/392, X1: 12/7, X2: 10/7, M1: 5/7, q1: 5/14, q2: 11/14, phi1: 1/7} |
| 8352 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ \phi_1^5q_2^2$ + $ \phi_1^4X_2$ | 1.1133 | 1.207 | 0.9223 | [X:[1.6667, 1.3333], M:[0.8333], q:[0.4167, 0.5833], qb:[], phi:[0.1667]] | t^2.5 + 2*t^3. + 4*t^4. + t^4.5 + 3*t^5. + t^5.5 - t^3.5/y - t^4.5/y - t^6./y - t^3.5*y - t^4.5*y - t^6.*y | detail | {a: 285/256, c: 309/256, X1: 5/3, X2: 4/3, M1: 5/6, q1: 5/12, q2: 7/12, phi1: 1/6} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8184 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ | 1.1587 | 1.2795 | 0.9056 | [X:[1.6334], M:[], q:[0.4582, 0.4421], qb:[], phi:[0.1833]] | t^2.2 + t^2.7 + t^3.2 + t^3.25 + t^3.3 + t^3.8 + t^4.3 + t^4.35 + 2*t^4.4 + 2*t^4.9 + 2*t^5.4 + t^5.45 + t^5.5 + t^5.9 - t^3.55/y - t^4.65/y - t^5.75/y - t^3.55*y - t^4.65*y - t^5.75*y | detail |