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 |
|---|---|---|---|---|---|---|---|---|---|
| 5165 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.6493 | 0.8094 | 0.8023 | [X:[1.6099], M:[0.3901, 1.2197, 1.1704, 0.7309, 0.8296, 0.8296, 0.8049, 0.8049], q:[0.842, 0.7679], qb:[0.4272, 0.4025], phi:[0.3901]] | [X:[[4]], M:[[-4], [8], [-12], [-28], [12], [12], [2], [2]], q:[[17], [-13]], qb:[[11], [1]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_8$, $ M_5$, $ M_6$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_4M_8$, $ M_4M_5$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_7M_8$, $ M_8^2$, $ X_1$, $ M_5M_7$, $ M_6M_7$, $ M_5M_8$, $ M_6M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | . | -3 | t^2.19 + 2*t^2.41 + 2*t^2.49 + 2*t^3.66 + 2*t^3.73 + t^4.39 + 2*t^4.61 + 2*t^4.68 + 4*t^4.83 + 4*t^4.9 + 3*t^4.98 + t^5.85 - 3*t^6. + 2*t^6.07 + 7*t^6.15 + 4*t^6.22 + t^6.58 + 2*t^6.8 + 2*t^6.87 + 3*t^7.02 + 2*t^7.1 + 2*t^7.24 + 7*t^7.32 + 8*t^7.39 + 6*t^7.47 + t^8.04 - 3*t^8.19 + t^8.34 - 8*t^8.41 - 4*t^8.49 + 8*t^8.56 + 11*t^8.64 + 6*t^8.71 + t^8.77 + 2*t^8.99 - t^4.17/y - t^6.36/y - (2*t^6.59)/y - t^6.66/y + (2*t^7.61)/y + (3*t^7.68)/y + (2*t^7.76)/y + t^7.83/y + (4*t^7.9)/y + (2*t^7.98)/y - t^8.56/y - (2*t^8.78)/y + t^8.85/y + (2*t^8.93)/y - t^4.17*y - t^6.36*y - 2*t^6.59*y - t^6.66*y + 2*t^7.61*y + 3*t^7.68*y + 2*t^7.76*y + t^7.83*y + 4*t^7.9*y + 2*t^7.98*y - t^8.56*y - 2*t^8.78*y + t^8.85*y + 2*t^8.93*y | t^2.19/g1^28 + 2*g1^2*t^2.41 + 2*g1^12*t^2.49 + 2*g1^8*t^3.66 + 2*g1^18*t^3.73 + t^4.39/g1^56 + (2*t^4.61)/g1^26 + (2*t^4.68)/g1^16 + 4*g1^4*t^4.83 + 4*g1^14*t^4.9 + 3*g1^24*t^4.98 + t^5.85/g1^20 - 3*t^6. + 2*g1^10*t^6.07 + 7*g1^20*t^6.15 + 4*g1^30*t^6.22 + t^6.58/g1^84 + (2*t^6.8)/g1^54 + (2*t^6.87)/g1^44 + (3*t^7.02)/g1^24 + (2*t^7.1)/g1^14 + 2*g1^6*t^7.24 + 7*g1^16*t^7.32 + 8*g1^26*t^7.39 + 6*g1^36*t^7.47 + t^8.04/g1^48 - (3*t^8.19)/g1^28 + t^8.34/g1^8 - 8*g1^2*t^8.41 - 4*g1^12*t^8.49 + 8*g1^22*t^8.56 + 11*g1^32*t^8.64 + 6*g1^42*t^8.71 + t^8.77/g1^112 + (2*t^8.99)/g1^82 - t^4.17/(g1^4*y) - t^6.36/(g1^32*y) - (2*t^6.59)/(g1^2*y) - (g1^8*t^6.66)/y + (2*t^7.61)/(g1^26*y) + (3*t^7.68)/(g1^16*y) + (2*t^7.76)/(g1^6*y) + (g1^4*t^7.83)/y + (4*g1^14*t^7.9)/y + (2*g1^24*t^7.98)/y - t^8.56/(g1^60*y) - (2*t^8.78)/(g1^30*y) + t^8.85/(g1^20*y) + (2*t^8.93)/(g1^10*y) - (t^4.17*y)/g1^4 - (t^6.36*y)/g1^32 - (2*t^6.59*y)/g1^2 - g1^8*t^6.66*y + (2*t^7.61*y)/g1^26 + (3*t^7.68*y)/g1^16 + (2*t^7.76*y)/g1^6 + g1^4*t^7.83*y + 4*g1^14*t^7.9*y + 2*g1^24*t^7.98*y - (t^8.56*y)/g1^60 - (2*t^8.78*y)/g1^30 + (t^8.85*y)/g1^20 + (2*t^8.93*y)/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 |
|---|---|---|---|---|---|---|---|---|
| 6722 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ + $ M_4^2$ | 0.6085 | 0.7781 | 0.782 | [X:[1.5714], M:[0.4286, 1.1429, 1.2857, 1.0, 0.7143, 0.7143, 0.7857, 0.7857], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | 2*t^2.14 + 2*t^2.36 + t^3. + 2*t^3.21 + 2*t^3.43 + 3*t^4.29 + 4*t^4.5 + 4*t^4.71 + 2*t^5.14 + 6*t^5.36 + 7*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 26715/43904, c: 34163/43904, X1: 11/7, M1: 3/7, M2: 8/7, M3: 9/7, M4: 1, M5: 5/7, M6: 5/7, M7: 11/14, M8: 11/14, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3469 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6331 | 0.7809 | 0.8108 | [X:[1.6104], M:[0.3896, 1.2208, 1.1688, 0.7272, 0.8312, 0.8312, 0.8052], q:[0.8442, 0.7662], qb:[0.4286, 0.4026], phi:[0.3896]] | t^2.18 + t^2.42 + 2*t^2.49 + t^3.58 + 2*t^3.66 + 2*t^3.74 + t^4.36 + t^4.6 + 2*t^4.68 + 2*t^4.83 + 2*t^4.91 + 3*t^4.99 + t^5.77 + t^5.84 - 2*t^6. - t^4.17/y - t^4.17*y | detail |