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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-8, 5], [-20, 12], [8, -5]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_2\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -2 | 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. + 2*t^6.01 + t^6.13 + t^6.14 - t^6.51 - t^6.52 + t^6.64 + 2*t^6.65 + t^6.66 + t^6.79 + t^6.81 + t^6.99 + t^7. + t^7.02 + t^7.03 + t^7.14 + t^7.16 - t^7.19 + t^7.28 + t^7.3 + 2*t^7.31 + t^7.33 + t^7.45 + t^7.67 + t^7.69 - t^7.82 + t^7.84 + t^7.95 + t^7.96 + 2*t^7.98 + t^8.3 + t^8.31 - 2*t^8.33 - t^8.34 + t^8.46 + t^8.47 - 3*t^8.48 + t^8.5 + 2*t^8.61 + 2*t^8.63 + t^8.64 - t^8.84 - t^8.85 + t^8.96 + t^8.98 - t^8.99 - t^4.17/y - t^6.5/y - t^6.52/y + t^7.16/y - t^7.18/y + t^7.67/y + t^7.81/y + (2*t^7.83)/y + t^7.84/y + (2*t^8.34)/y + (2*t^8.35)/y + (2*t^8.49)/y - t^8.83/y - t^8.84/y - t^8.86/y + t^8.97/y + (2*t^8.99)/y - t^4.17*y - t^6.5*y - t^6.52*y + t^7.16*y - t^7.18*y + t^7.67*y + t^7.81*y + 2*t^7.83*y + t^7.84*y + 2*t^8.34*y + 2*t^8.35*y + 2*t^8.49*y - t^8.83*y - t^8.84*y - t^8.86*y + t^8.97*y + 2*t^8.99*y | (g2^12*t^2.33)/g1^20 + (g2^2*t^2.34)/g1^4 + (g1^6*t^2.48)/g2^3 + (2*g1^8*t^3.01)/g2^5 + (g2^8*t^3.64)/g1^12 + (g1^4*t^3.66)/g2^2 + g2*t^4.31 + (g1^16*t^4.32)/g2^9 + (g2^24*t^4.66)/g1^40 + (g2^14*t^4.67)/g1^24 + (g2^4*t^4.69)/g1^8 + (g2^9*t^4.81)/g1^14 + (2*g1^2*t^4.83)/g2 + (g1^12*t^4.97)/g2^6 + (g2^7*t^5.34)/g1^12 + (g1^4*t^5.35)/g2^3 + (2*g1^14*t^5.49)/g2^8 + (g2^20*t^5.97)/g1^32 + (g2^10*t^5.99)/g1^16 - 2*t^6. + (2*g1^16*t^6.01)/g2^10 + (g2^5*t^6.13)/g1^6 + (g1^10*t^6.14)/g2^5 - (g2^8*t^6.51)/g1^14 - (g1^2*t^6.52)/g2^2 + (g2^13*t^6.64)/g1^20 + (2*g2^3*t^6.65)/g1^4 + (g1^12*t^6.66)/g2^7 + (g1^6*t^6.79)/g2^2 + (g1^22*t^6.81)/g2^12 + (g2^36*t^6.99)/g1^60 + (g2^26*t^7.)/g1^44 + (g2^16*t^7.02)/g1^28 + (g2^6*t^7.03)/g1^12 + (g2^21*t^7.14)/g1^34 + (g2^11*t^7.16)/g1^18 - (g1^14*t^7.19)/g2^9 + (g2^16*t^7.28)/g1^24 + (g2^6*t^7.3)/g1^8 + (2*g1^8*t^7.31)/g2^4 + (g1^24*t^7.33)/g2^14 + (g1^18*t^7.45)/g2^9 + (g2^19*t^7.67)/g1^32 + t^7.69/g2 - (g2^4*t^7.82)/g1^6 + (g1^10*t^7.84)/g2^6 + (g2^9*t^7.95)/g1^12 + (g1^4*t^7.96)/g2 + (2*g1^20*t^7.98)/g2^11 + (g2^32*t^8.3)/g1^52 + (g2^22*t^8.31)/g1^36 - (2*g2^12*t^8.33)/g1^20 - (g2^2*t^8.34)/g1^4 + (g2^17*t^8.46)/g1^26 + (g2^7*t^8.47)/g1^10 - (3*g1^6*t^8.48)/g2^3 + (g1^22*t^8.5)/g2^13 + 2*g2^2*t^8.61 + (2*g1^16*t^8.63)/g2^8 + (g1^32*t^8.64)/g2^18 - (g2^20*t^8.84)/g1^34 - (g2^10*t^8.85)/g1^18 + (g2^25*t^8.96)/g1^40 + (g2^15*t^8.98)/g1^24 - (g2^5*t^8.99)/g1^8 - (g2*t^4.17)/(g1^2*y) - (g2^13*t^6.5)/(g1^22*y) - (g2^3*t^6.52)/(g1^6*y) + (g2^6*t^7.16)/(g1^10*y) - (g1^6*t^7.18)/(g2^4*y) + (g2^14*t^7.67)/(g1^24*y) + (g2^9*t^7.81)/(g1^14*y) + (2*g1^2*t^7.83)/(g2*y) + (g1^18*t^7.84)/(g2^11*y) + (2*g2^7*t^8.34)/(g1^12*y) + (2*g1^4*t^8.35)/(g2^3*y) + (2*g1^14*t^8.49)/(g2^8*y) - (g2^25*t^8.83)/(g1^42*y) - (g2^15*t^8.84)/(g1^26*y) - (g2^5*t^8.86)/(g1^10*y) + (g2^20*t^8.97)/(g1^32*y) + (2*g2^10*t^8.99)/(g1^16*y) - (g2*t^4.17*y)/g1^2 - (g2^13*t^6.5*y)/g1^22 - (g2^3*t^6.52*y)/g1^6 + (g2^6*t^7.16*y)/g1^10 - (g1^6*t^7.18*y)/g2^4 + (g2^14*t^7.67*y)/g1^24 + (g2^9*t^7.81*y)/g1^14 + (2*g1^2*t^7.83*y)/g2 + (g1^18*t^7.84*y)/g2^11 + (2*g2^7*t^8.34*y)/g1^12 + (2*g1^4*t^8.35*y)/g2^3 + (2*g1^14*t^8.49*y)/g2^8 - (g2^25*t^8.83*y)/g1^42 - (g2^15*t^8.84*y)/g1^26 - (g2^5*t^8.86*y)/g1^10 + (g2^20*t^8.97*y)/g1^32 + (2*g2^10*t^8.99*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 766 | $\phi_1q_1q_2$ + $ 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]] | 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^4.24/y - t^4.24*y | detail | |
| 1855 | $\phi_1q_1q_2$ + $ 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_6q_1\tilde{q}_2$ | 0.6058 | 0.7557 | 0.8017 | [X:[1.4759], M:[0.9867, 0.5241, 1.0133, 0.7954, 0.9867, 0.742], q:[0.7122, 0.9035], qb:[0.3012, 0.5458], phi:[0.3844]] | t^2.23 + t^2.31 + t^2.39 + t^2.54 + 2*t^2.96 + t^3.69 + t^4.35 + t^4.43 + t^4.45 + t^4.53 + 2*t^4.61 + t^4.69 + 2*t^4.77 + 2*t^4.85 + t^4.93 + t^5.08 + 2*t^5.19 + t^5.27 + t^5.35 + 2*t^5.5 + 3*t^5.92 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 769 | $\phi_1q_1q_2$ + $ 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$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_2$ | 0.5425 | 0.6456 | 0.8403 | [X:[1.6836, 1.3333], M:[0.983, 0.3164, 1.017, 0.7006, 0.983], q:[0.6921, 0.9745], qb:[0.3248, 0.6752], phi:[0.3333]] | t^2.1 + 2*t^2.95 + t^3. + 2*t^4. + t^4.1 + t^4.2 + t^5. + 2*t^5.05 + t^5.1 + 2*t^5.9 + t^5.95 - 2*t^6. - t^4./y - t^4.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 305 | 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$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118], M:[1.0196, 0.5882, 0.9804, 0.7451], q:[0.6667, 0.9412], qb:[0.3137, 0.5098], phi:[0.3922]] | t^2.24 + t^2.35 + t^2.47 + t^2.94 + t^3.06 + t^3.53 + t^3.65 + t^4.24 + t^4.35 + t^4.47 + t^4.59 + 2*t^4.71 + 2*t^4.82 + t^4.94 + t^5.18 + t^5.29 + t^5.41 + t^5.53 + t^5.76 + 2*t^5.88 - t^4.18/y - t^4.18*y | detail | {a: 8161/13872, c: 5041/6936, X1: 24/17, M1: 52/51, M2: 10/17, M3: 50/51, M4: 38/51, q1: 2/3, q2: 16/17, qb1: 16/51, qb2: 26/51, phi1: 20/51} |