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 |
|---|---|---|---|---|---|---|---|---|---|
| 47208 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6113 | 0.7851 | 0.7787 | [X:[], M:[0.7401, 0.9204, 1.2599, 1.0, 0.7003], q:[0.5, 0.7599], qb:[0.5796, 0.2401], phi:[0.4801]] | [X:[], M:[[1], [8], [-1], [0], [5]], q:[[0], [-1]], qb:[[-8], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_5^2$, $ M_1M_5$, $ M_1^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_5\phi_1^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_1\phi_1^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1^4$, $ M_5\phi_1q_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_4\phi_1\tilde{q}_2^2$ | . | -2 | t^2.1 + t^2.22 + t^2.46 + t^2.76 + 2*t^2.88 + t^3. + t^3.66 + t^3.78 + t^4.02 + t^4.2 + t^4.32 + 2*t^4.44 + t^4.56 + 2*t^4.68 + t^4.86 + 2*t^4.92 + 2*t^4.98 + 3*t^5.1 + t^5.22 + 2*t^5.34 + t^5.46 + t^5.52 + 2*t^5.64 + 4*t^5.76 + 3*t^5.88 - 2*t^6. + t^6.12 + t^6.3 + t^6.42 + t^6.48 + 4*t^6.54 + 3*t^6.66 + t^6.78 + 2*t^6.9 + t^6.96 + t^7.02 + 2*t^7.08 + 2*t^7.14 + 3*t^7.2 + 5*t^7.32 + 2*t^7.38 + 2*t^7.44 + 2*t^7.56 + t^7.62 + t^7.68 + 2*t^7.74 + 3*t^7.8 + 4*t^7.86 + t^7.92 + 5*t^7.98 + t^8.1 + t^8.22 + t^8.28 + 3*t^8.4 - 3*t^8.46 + 5*t^8.52 + 7*t^8.64 + t^8.7 + 3*t^8.76 - 3*t^8.88 + 2*t^8.94 - t^4.44/y - t^6.54/y - t^7.2/y + (2*t^7.56)/y + (2*t^7.68)/y + t^7.86/y + (3*t^7.98)/y + (3*t^8.1)/y + (2*t^8.22)/y + (3*t^8.34)/y + t^8.46/y + t^8.64/y + (3*t^8.76)/y + (4*t^8.88)/y - t^4.44*y - t^6.54*y - t^7.2*y + 2*t^7.56*y + 2*t^7.68*y + t^7.86*y + 3*t^7.98*y + 3*t^8.1*y + 2*t^8.22*y + 3*t^8.34*y + t^8.46*y + t^8.64*y + 3*t^8.76*y + 4*t^8.88*y | g1^5*t^2.1 + g1*t^2.22 + t^2.46/g1^7 + g1^8*t^2.76 + 2*g1^4*t^2.88 + t^3. + g1^3*t^3.66 + t^3.78/g1 + t^4.02/g1^9 + g1^10*t^4.2 + g1^6*t^4.32 + 2*g1^2*t^4.44 + t^4.56/g1^2 + (2*t^4.68)/g1^6 + g1^13*t^4.86 + (2*t^4.92)/g1^14 + 2*g1^9*t^4.98 + 3*g1^5*t^5.1 + g1*t^5.22 + (2*t^5.34)/g1^3 + t^5.46/g1^7 + g1^16*t^5.52 + 2*g1^12*t^5.64 + 4*g1^8*t^5.76 + 3*g1^4*t^5.88 - 2*t^6. + t^6.12/g1^4 + g1^15*t^6.3 + g1^11*t^6.42 + t^6.48/g1^16 + 4*g1^7*t^6.54 + 3*g1^3*t^6.66 + t^6.78/g1 + (2*t^6.9)/g1^5 + g1^18*t^6.96 + t^7.02/g1^9 + 2*g1^14*t^7.08 + (2*t^7.14)/g1^13 + 3*g1^10*t^7.2 + 5*g1^6*t^7.32 + (2*t^7.38)/g1^21 + 2*g1^2*t^7.44 + (2*t^7.56)/g1^2 + g1^21*t^7.62 + t^7.68/g1^6 + 2*g1^17*t^7.74 + (3*t^7.8)/g1^10 + 4*g1^13*t^7.86 + t^7.92/g1^14 + 5*g1^9*t^7.98 + g1^5*t^8.1 + g1*t^8.22 + g1^24*t^8.28 + 3*g1^20*t^8.4 - (3*t^8.46)/g1^7 + 5*g1^16*t^8.52 + 7*g1^12*t^8.64 + t^8.7/g1^15 + 3*g1^8*t^8.76 - 3*g1^4*t^8.88 + (2*t^8.94)/g1^23 - (g1^2*t^4.44)/y - (g1^7*t^6.54)/y - (g1^10*t^7.2)/y + (2*t^7.56)/(g1^2*y) + (2*t^7.68)/(g1^6*y) + (g1^13*t^7.86)/y + (3*g1^9*t^7.98)/y + (3*g1^5*t^8.1)/y + (2*g1*t^8.22)/y + (3*t^8.34)/(g1^3*y) + t^8.46/(g1^7*y) + (g1^12*t^8.64)/y + (3*g1^8*t^8.76)/y + (4*g1^4*t^8.88)/y - g1^2*t^4.44*y - g1^7*t^6.54*y - g1^10*t^7.2*y + (2*t^7.56*y)/g1^2 + (2*t^7.68*y)/g1^6 + g1^13*t^7.86*y + 3*g1^9*t^7.98*y + 3*g1^5*t^8.1*y + 2*g1*t^8.22*y + (3*t^8.34*y)/g1^3 + (t^8.46*y)/g1^7 + g1^12*t^8.64*y + 3*g1^8*t^8.76*y + 4*g1^4*t^8.88*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 55533 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_6$ | 0.6061 | 0.7767 | 0.7804 | [X:[], M:[0.7459, 0.9669, 1.2541, 1.0, 0.7293, 1.0331], q:[0.5, 0.7541], qb:[0.5331, 0.2459], phi:[0.4917]] | t^2.19 + t^2.24 + t^2.34 + 2*t^2.95 + t^3. + t^3.1 + t^3.71 + t^3.76 + t^3.86 + t^4.38 + t^4.43 + 2*t^4.48 + t^4.52 + 2*t^4.57 + 2*t^4.67 + t^5.14 + 3*t^5.19 + 3*t^5.29 + 2*t^5.34 + t^5.44 + 3*t^5.9 + 3*t^5.95 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 55579 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ | 0.6307 | 0.8208 | 0.7684 | [X:[], M:[0.7398, 0.9181, 1.2602, 1.0, 0.6988, 0.7398], q:[0.5, 0.7602], qb:[0.5819, 0.2398], phi:[0.4795]] | t^2.1 + 2*t^2.22 + t^2.47 + t^2.75 + 2*t^2.88 + t^3. + t^3.66 + t^4.03 + t^4.19 + 2*t^4.32 + 4*t^4.44 + t^4.56 + 3*t^4.68 + t^4.85 + 2*t^4.93 + 3*t^4.97 + 5*t^5.1 + 2*t^5.22 + 2*t^5.34 + t^5.47 + t^5.51 + 2*t^5.63 + 4*t^5.75 + 3*t^5.88 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 54345 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_2$ | 0.629 | 0.8165 | 0.7704 | [X:[], M:[0.7413, 0.9302, 1.2587, 1.0, 0.7064, 0.7762], q:[0.5, 0.7587], qb:[0.5698, 0.2413], phi:[0.4826]] | t^2.12 + t^2.22 + t^2.33 + t^2.43 + t^2.79 + 2*t^2.9 + t^3. + t^3.78 + t^3.99 + t^4.24 + t^4.34 + 3*t^4.45 + 2*t^4.55 + 3*t^4.66 + t^4.76 + 2*t^4.87 + t^4.91 + 2*t^5.01 + 4*t^5.12 + 3*t^5.22 + 3*t^5.33 + t^5.43 + t^5.58 + 2*t^5.69 + 3*t^5.79 + 2*t^5.9 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46591 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1q_2^2$ | 0.5908 | 0.7459 | 0.7921 | [X:[], M:[0.7408, 0.9267, 1.2592, 1.0], q:[0.5, 0.7592], qb:[0.5733, 0.2408], phi:[0.4817]] | t^2.22 + t^2.44 + t^2.78 + 2*t^2.89 + t^3. + t^3.67 + t^3.78 + t^3.89 + t^4. + 2*t^4.45 + 2*t^4.66 + 2*t^4.88 + 2*t^5.11 + t^5.22 + 2*t^5.33 + t^5.44 + t^5.56 + 2*t^5.67 + 3*t^5.78 + 2*t^5.89 - 2*t^6. - t^4.45/y - t^4.45*y | detail |