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 |
|---|---|---|---|---|---|---|---|---|---|
| 265 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ | 0.6675 | 0.8146 | 0.8195 | [X:[], M:[0.9917, 1.1204, 0.9667, 0.7676], q:[0.7801, 0.4273], qb:[0.581, 0.4523], phi:[0.4398]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [-1, -1]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_3^2$, $ M_1M_3$, $ M_1^2$ | . | -2 | t^2.3 + t^2.64 + t^2.9 + t^2.98 + t^3.36 + t^3.62 + t^3.88 + t^3.96 + t^4.03 + t^4.08 + t^4.34 + t^4.42 + t^4.61 + t^4.81 + t^4.94 + t^5.2 + 2*t^5.28 + t^5.66 + t^5.8 + t^5.88 + t^5.95 - 2*t^6. - t^6.08 + t^6.19 + 2*t^6.26 + t^6.34 - t^6.46 + 2*t^6.52 + t^6.6 + t^6.65 + t^6.67 + t^6.72 + t^6.78 + t^6.86 + t^6.91 + t^6.93 + t^6.98 + t^7.01 + t^7.11 + 2*t^7.24 + t^7.44 + 2*t^7.51 + 2*t^7.58 + t^7.71 + t^7.77 + t^7.84 + 2*t^7.92 + 2*t^7.97 + t^7.99 + t^8.07 + t^8.1 + t^8.17 + t^8.18 + t^8.23 + t^8.25 - 2*t^8.3 - t^8.38 + t^8.43 + t^8.45 + t^8.49 + t^8.56 - t^8.64 + t^8.69 + t^8.7 - t^8.71 - t^8.76 + t^8.78 + t^8.83 + t^8.84 + t^8.85 + t^8.89 - 2*t^8.9 + t^8.93 + t^8.95 - 3*t^8.98 - t^4.32/y - t^6.62/y - t^7.22/y - t^7.29/y + t^7.34/y + t^7.42/y + t^7.94/y + t^8.02/y + t^8.2/y + t^8.28/y + t^8.54/y + t^8.61/y + t^8.66/y + t^8.88/y - t^4.32*y - t^6.62*y - t^7.22*y - t^7.29*y + t^7.34*y + t^7.42*y + t^7.94*y + t^8.02*y + t^8.2*y + t^8.28*y + t^8.54*y + t^8.61*y + t^8.66*y + t^8.88*y | t^2.3/(g1*g2) + t^2.64/g1^4 + t^2.9/(g1^11*g2) + (g2*t^2.98)/g1^7 + g1^4*t^3.36 + t^3.62/(g1^3*g2) + t^3.88/(g1^10*g2^2) + t^3.96/g1^6 + (g2^2*t^4.03)/g1^2 + g1^12*t^4.08 + (g1^5*t^4.34)/g2 + g1^9*g2*t^4.42 + t^4.61/(g1^2*g2^2) + g1^20*t^4.81 + t^4.94/(g1^5*g2) + t^5.2/(g1^12*g2^2) + (2*t^5.28)/g1^8 + (g1^3*t^5.66)/g2 + t^5.8/(g1^22*g2^2) + t^5.88/g1^18 + (g2^2*t^5.95)/g1^14 - 2*t^6. - g1^4*g2^2*t^6.08 + t^6.19/(g1^11*g2^3) + (2*t^6.26)/(g1^7*g2) + (g2*t^6.34)/g1^3 - g1^15*g2*t^6.46 + (2*t^6.52)/(g1^14*g2^2) + t^6.6/g1^10 + (g1^4*t^6.65)/g2^2 + (g2^2*t^6.67)/g1^6 + g1^8*t^6.72 + t^6.78/(g1^21*g2^3) + t^6.86/(g1^17*g2) + t^6.91/(g1^3*g2^3) + (g2*t^6.93)/g1^13 + (g1*t^6.98)/g2 + (g2^3*t^7.01)/g1^9 + (g1^19*t^7.11)/g2 + (2*t^7.24)/(g1^6*g2^2) + g1^16*t^7.44 + (2*t^7.51)/(g1^13*g2^3) + (2*t^7.58)/(g1^9*g2) + (g1^9*t^7.71)/g2 + t^7.77/(g1^20*g2^4) + t^7.84/(g1^16*g2^2) + (2*t^7.92)/g1^12 + (2*g1^2*t^7.97)/g2^2 + (g2^2*t^7.99)/g1^8 + (g2^4*t^8.07)/g1^4 + t^8.1/(g1^23*g2^3) + g1^24*t^8.17 + t^8.18/(g1^19*g2) + t^8.23/(g1^5*g2^3) + (g2*t^8.25)/g1^15 - (2*t^8.3)/(g1*g2) - g1^3*g2*t^8.38 + (g1^17*t^8.43)/g2 + g1^7*g2^3*t^8.45 + t^8.49/(g1^12*g2^4) + t^8.56/(g1^8*g2^2) - t^8.64/g1^4 + (g1^10*t^8.69)/g2^2 + t^8.7/(g1^33*g2^3) - g2^2*t^8.71 - g1^14*t^8.76 + t^8.78/(g1^29*g2) + t^8.83/(g1^15*g2^3) + g1^18*g2^2*t^8.84 + (g2*t^8.85)/g1^25 + g1^32*t^8.89 - (2*t^8.9)/(g1^11*g2) + (g2^3*t^8.93)/g1^21 + (g1^3*t^8.95)/g2^3 - (3*g2*t^8.98)/g1^7 - t^4.32/(g1^2*y) - t^6.62/(g1^3*g2*y) - t^7.22/(g1^13*g2*y) - (g2*t^7.29)/(g1^9*y) + (g1^5*t^7.34)/(g2*y) + (g1^9*g2*t^7.42)/y + t^7.94/(g1^5*g2*y) + (g2*t^8.02)/(g1*y) + t^8.2/(g1^12*g2^2*y) + t^8.28/(g1^8*y) + t^8.54/(g1^15*g2*y) + (g2*t^8.61)/(g1^11*y) + (g1^3*t^8.66)/(g2*y) + t^8.88/(g1^18*y) - (t^4.32*y)/g1^2 - (t^6.62*y)/(g1^3*g2) - (t^7.22*y)/(g1^13*g2) - (g2*t^7.29*y)/g1^9 + (g1^5*t^7.34*y)/g2 + g1^9*g2*t^7.42*y + (t^7.94*y)/(g1^5*g2) + (g2*t^8.02*y)/g1 + (t^8.2*y)/(g1^12*g2^2) + (t^8.28*y)/g1^8 + (t^8.54*y)/(g1^15*g2) + (g2*t^8.61*y)/g1^11 + (g1^3*t^8.66*y)/g2 + (t^8.88*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 420 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ | 0.667 | 0.8136 | 0.8198 | [X:[], M:[1.0126, 1.1111, 0.9874, 0.7652], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | t^2.3 + t^2.67 + t^2.96 + t^3.04 + t^3.33 + t^3.63 + t^3.92 + 2*t^4. + t^4.08 + t^4.3 + t^4.37 + t^4.59 + t^4.67 + t^4.96 + t^5.26 + 2*t^5.33 + t^5.63 + t^5.92 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 422 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6786 | 0.8339 | 0.8138 | [X:[], M:[0.9772, 1.1268, 0.9523, 0.7692, 0.8732], q:[0.7817, 0.4242], qb:[0.5987, 0.4491], phi:[0.4366]] | t^2.31 + 2*t^2.62 + t^2.86 + t^2.93 + t^3.62 + t^3.85 + t^3.93 + t^4. + t^4.14 + t^4.38 + t^4.45 + t^4.62 + t^4.9 + 2*t^4.93 + t^5.16 + 4*t^5.24 + t^5.48 + t^5.55 + t^5.71 + t^5.79 + t^5.86 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 421 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ | 0.6412 | 0.7805 | 0.8216 | [X:[], M:[0.9659, 1.0874, 1.1407, 0.8593], q:[0.7719, 0.5437], qb:[0.4904, 0.3689], phi:[0.4563]] | t^2.58 + t^2.74 + t^2.9 + t^3.26 + t^3.42 + t^3.58 + t^3.79 + 2*t^3.95 + t^4.11 + t^4.31 + t^4.47 + t^4.63 + t^5.16 + t^5.32 + t^5.48 + t^5.8 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 426 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3^2$ | 0.6667 | 0.8125 | 0.8205 | [X:[], M:[1.0, 1.1111, 1.0, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | t^2.33 + t^2.67 + 2*t^3. + t^3.33 + t^3.67 + 4*t^4. + 2*t^4.33 + 2*t^4.67 + t^5. + 3*t^5.33 + t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 2/3, c: 13/16, M1: 1, M2: 10/9, M3: 1, M4: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
| 425 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6881 | 0.854 | 0.8057 | [X:[], M:[0.989, 1.1188, 0.9764, 0.7734, 0.6908], q:[0.7797, 0.4343], qb:[0.5767, 0.4469], phi:[0.4406]] | t^2.07 + t^2.32 + t^2.64 + t^2.93 + t^2.97 + t^3.36 + t^3.64 + t^3.97 + t^4. + t^4.07 + t^4.14 + t^4.35 + 2*t^4.39 + t^4.64 + t^4.72 + t^4.78 + t^4.96 + t^5. + t^5.04 + t^5.25 + 2*t^5.29 + t^5.43 + t^5.68 + t^5.71 + t^5.86 + t^5.9 + t^5.93 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 423 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.6848 | 0.8448 | 0.8106 | [X:[], M:[0.9816, 1.1193, 0.9816, 0.7798, 0.7798], q:[0.7798, 0.4404], qb:[0.578, 0.4404], phi:[0.4404]] | 2*t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + 3*t^3.96 + t^4.07 + 2*t^4.38 + 3*t^4.68 + t^4.79 + 2*t^4.98 + 5*t^5.28 + 2*t^5.7 + 3*t^5.89 - 4*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 169 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.6496 | 0.7822 | 0.8305 | [X:[], M:[0.9769, 1.1214, 0.9769], q:[0.7803, 0.4393], qb:[0.5838, 0.4393], phi:[0.4393]] | t^2.64 + 2*t^2.93 + t^3.36 + 2*t^3.66 + 3*t^3.95 + t^4.09 + 2*t^4.39 + t^4.82 + t^5.27 + 3*t^5.86 - 4*t^6. - t^4.32/y - t^4.32*y | detail |