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 |
|---|---|---|---|---|---|---|---|---|---|
| 2256 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6548 | 0.8265 | 0.7923 | [X:[], M:[1.1725, 0.7357, 0.8275, 0.8275, 1.1725, 0.7816, 0.6898], q:[0.8046, 0.4597], qb:[0.3679, 0.8046], phi:[0.3908]] | [X:[], M:[[-6], [-14], [6], [6], [-6], [-4], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ M_5$, $ q_1q_2$, $ M_7^2$, $ M_2M_7$, $ M_2^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_2M_6$, $ M_3M_7$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_3\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_1M_7$, $ M_5M_7$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7q_1q_2$, $ M_3\phi_1\tilde{q}_1^2$ | $M_3M_5$, $ \phi_1\tilde{q}_2^2$ | 0 | t^2.07 + t^2.21 + 2*t^2.34 + t^2.48 + t^3.38 + 2*t^3.52 + t^3.79 + t^4.14 + t^4.28 + 3*t^4.41 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.45 + 3*t^5.59 + 3*t^5.72 + 4*t^5.86 + t^6.21 + t^6.35 + 3*t^6.48 + 4*t^6.62 + 7*t^6.76 + 8*t^6.9 + 8*t^7.03 + 3*t^7.17 - 2*t^7.45 + t^7.52 + 3*t^7.66 + 4*t^7.79 + 7*t^7.93 + 4*t^8.07 + 3*t^8.21 + t^8.28 - 2*t^8.34 + t^8.42 - 4*t^8.48 + 3*t^8.55 - 3*t^8.62 + 4*t^8.69 - t^8.76 + 8*t^8.83 + 11*t^8.97 - t^4.17/y - t^6.24/y - t^6.38/y - (2*t^6.52)/y + t^7.28/y + (2*t^7.41)/y + (3*t^7.55)/y + (2*t^7.69)/y + (4*t^7.83)/y + t^7.97/y + t^8.1/y - t^8.31/y + (2*t^8.72)/y + (3*t^8.86)/y - t^4.17*y - t^6.24*y - t^6.38*y - 2*t^6.52*y + t^7.28*y + 2*t^7.41*y + 3*t^7.55*y + 2*t^7.69*y + 4*t^7.83*y + t^7.97*y + t^8.1*y - t^8.31*y + 2*t^8.72*y + 3*t^8.86*y | t^2.07/g1^24 + t^2.21/g1^14 + (2*t^2.34)/g1^4 + g1^6*t^2.48 + t^3.38/g1^16 + (2*t^3.52)/g1^6 + g1^14*t^3.79 + t^4.14/g1^48 + t^4.28/g1^38 + (3*t^4.41)/g1^28 + (3*t^4.55)/g1^18 + (4*t^4.69)/g1^8 + 3*g1^2*t^4.83 + g1^12*t^4.97 + t^5.45/g1^40 + (3*t^5.59)/g1^30 + (3*t^5.72)/g1^20 + (4*t^5.86)/g1^10 + t^6.21/g1^72 + t^6.35/g1^62 + (3*t^6.48)/g1^52 + (4*t^6.62)/g1^42 + (7*t^6.76)/g1^32 + (8*t^6.9)/g1^22 + (8*t^7.03)/g1^12 + (3*t^7.17)/g1^2 - 2*g1^18*t^7.45 + t^7.52/g1^64 + (3*t^7.66)/g1^54 + (4*t^7.79)/g1^44 + (7*t^7.93)/g1^34 + (4*t^8.07)/g1^24 + (3*t^8.21)/g1^14 + t^8.28/g1^96 - (2*t^8.34)/g1^4 + t^8.42/g1^86 - 4*g1^6*t^8.48 + (3*t^8.55)/g1^76 - 3*g1^16*t^8.62 + (4*t^8.69)/g1^66 - g1^26*t^8.76 + (8*t^8.83)/g1^56 + (11*t^8.97)/g1^46 - t^4.17/(g1^2*y) - t^6.24/(g1^26*y) - t^6.38/(g1^16*y) - (2*t^6.52)/(g1^6*y) + t^7.28/(g1^38*y) + (2*t^7.41)/(g1^28*y) + (3*t^7.55)/(g1^18*y) + (2*t^7.69)/(g1^8*y) + (4*g1^2*t^7.83)/y + (g1^12*t^7.97)/y + (g1^22*t^8.1)/y - t^8.31/(g1^50*y) + (2*t^8.72)/(g1^20*y) + (3*t^8.86)/(g1^10*y) - (t^4.17*y)/g1^2 - (t^6.24*y)/g1^26 - (t^6.38*y)/g1^16 - (2*t^6.52*y)/g1^6 + (t^7.28*y)/g1^38 + (2*t^7.41*y)/g1^28 + (3*t^7.55*y)/g1^18 + (2*t^7.69*y)/g1^8 + 4*g1^2*t^7.83*y + g1^12*t^7.97*y + g1^22*t^8.1*y - (t^8.31*y)/g1^50 + (2*t^8.72*y)/g1^20 + (3*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 4253 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_2M_8$ | 0.6354 | 0.7898 | 0.8045 | [X:[], M:[1.1765, 0.7451, 0.8235, 0.8235, 1.1765, 0.7843, 0.7059, 1.2549], q:[0.8039, 0.451], qb:[0.3725, 0.8039], phi:[0.3922]] | t^2.12 + 2*t^2.35 + t^2.47 + t^3.41 + 2*t^3.53 + 2*t^3.76 + t^4.24 + 2*t^4.47 + t^4.59 + 3*t^4.71 + 3*t^4.82 + t^4.94 + t^5.53 + 2*t^5.65 + t^5.76 + 5*t^5.88 - t^6. - t^4.18/y - t^4.18*y | detail | {a: 1469/2312, c: 913/1156, M1: 20/17, M2: 38/51, M3: 14/17, M4: 14/17, M5: 20/17, M6: 40/51, M7: 12/17, M8: 64/51, q1: 41/51, q2: 23/51, qb1: 19/51, qb2: 41/51, phi1: 20/51} |
| 4259 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.5941 | 0.7399 | 0.8029 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 1.25, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 1825/3072, c: 2273/3072, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 5/4, M6: 5/6, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1208 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6342 | 0.7862 | 0.8067 | [X:[], M:[1.1759, 0.7438, 0.8241, 0.8241, 1.1759, 0.784], q:[0.804, 0.4521], qb:[0.3719, 0.804], phi:[0.392]] | t^2.23 + 2*t^2.35 + t^2.47 + t^3.41 + 2*t^3.53 + t^3.77 + t^3.89 + t^4.46 + 2*t^4.58 + 4*t^4.7 + 3*t^4.82 + t^4.94 + t^5.64 + 3*t^5.76 + 3*t^5.88 - t^4.18/y - t^4.18*y | detail |