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 |
|---|---|---|---|---|---|---|---|---|---|
| 48217 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_4\phi_1q_1^2$ | 0.6814 | 0.8523 | 0.7995 | [X:[], M:[1.1632, 1.0209, 0.8368, 0.7755, 0.7141], q:[0.3877, 0.4491], qb:[0.5914, 0.7755], phi:[0.4491]] | [X:[], M:[[3], [-18], [-3], [2], [7]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_3$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_5$, $ M_3M_4$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_3q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_5\phi_1q_1^2$, $ \phi_1^2q_2\tilde{q}_1$ | . | t^2.14 + t^2.33 + t^2.51 + t^2.69 + t^3.06 + t^3.12 + t^3.49 + t^3.67 + t^4.04 + t^4.1 + 2*t^4.28 + 2*t^4.47 + 2*t^4.65 + 2*t^4.84 + t^4.9 + 2*t^5.02 + 2*t^5.2 + t^5.26 + t^5.39 + t^5.45 + 2*t^5.63 + t^5.76 + 2*t^5.82 - t^6. + t^6.13 + 2*t^6.18 + 2*t^6.24 + t^6.37 + 2*t^6.43 + t^6.55 + 3*t^6.61 + t^6.74 + 4*t^6.8 - t^6.92 + 3*t^6.98 + t^7.04 + t^7.1 + 4*t^7.16 + 2*t^7.22 + 2*t^7.35 + 2*t^7.41 + 3*t^7.53 + 3*t^7.59 + 2*t^7.72 + 2*t^7.77 + t^7.9 + 3*t^7.96 + t^8.02 + 2*t^8.08 + t^8.27 + 3*t^8.39 + 2*t^8.45 + 4*t^8.57 - t^8.69 + 3*t^8.75 + t^8.82 + t^8.88 + 5*t^8.94 - t^4.35/y - t^6.49/y - t^6.67/y - t^7.04/y + t^7.28/y - t^7.41/y + t^7.47/y + (2*t^7.65)/y + (2*t^7.84)/y + (2*t^8.02)/y + (3*t^8.2)/y + t^8.26/y + t^8.39/y + t^8.45/y + t^8.57/y + t^8.63/y + t^8.76/y + (2*t^8.82)/y - t^4.35*y - t^6.49*y - t^6.67*y - t^7.04*y + t^7.28*y - t^7.41*y + t^7.47*y + 2*t^7.65*y + 2*t^7.84*y + 2*t^8.02*y + 3*t^8.2*y + t^8.26*y + t^8.39*y + t^8.45*y + t^8.57*y + t^8.63*y + t^8.76*y + 2*t^8.82*y | g1^7*t^2.14 + g1^2*t^2.33 + t^2.51/g1^3 + t^2.69/g1^8 + t^3.06/g1^18 + g1^13*t^3.12 + g1^3*t^3.49 + t^3.67/g1^2 + t^4.04/g1^12 + g1^19*t^4.1 + 2*g1^14*t^4.28 + 2*g1^9*t^4.47 + 2*g1^4*t^4.65 + (2*t^4.84)/g1 + g1^30*t^4.9 + (2*t^5.02)/g1^6 + (2*t^5.2)/g1^11 + g1^20*t^5.26 + t^5.39/g1^16 + g1^15*t^5.45 + 2*g1^10*t^5.63 + t^5.76/g1^26 + 2*g1^5*t^5.82 - t^6. + t^6.13/g1^36 + (2*t^6.18)/g1^5 + 2*g1^26*t^6.24 + t^6.37/g1^10 + 2*g1^21*t^6.43 + t^6.55/g1^15 + 3*g1^16*t^6.61 + t^6.74/g1^20 + 4*g1^11*t^6.8 - t^6.92/g1^25 + 3*g1^6*t^6.98 + g1^37*t^7.04 + t^7.1/g1^30 + 4*g1*t^7.16 + 2*g1^32*t^7.22 + (2*t^7.35)/g1^4 + 2*g1^27*t^7.41 + (3*t^7.53)/g1^9 + 3*g1^22*t^7.59 + (2*t^7.72)/g1^14 + 2*g1^17*t^7.77 + t^7.9/g1^19 + 3*g1^12*t^7.96 + g1^43*t^8.02 + (2*t^8.08)/g1^24 + t^8.27/g1^29 + 3*g1^33*t^8.39 + (2*t^8.45)/g1^34 + 4*g1^28*t^8.57 - t^8.69/g1^8 + 3*g1^23*t^8.75 + t^8.82/g1^44 + t^8.88/g1^13 + 5*g1^18*t^8.94 - t^4.35/(g1^4*y) - (g1^3*t^6.49)/y - t^6.67/(g1^2*y) - t^7.04/(g1^12*y) + (g1^14*t^7.28)/y - t^7.41/(g1^22*y) + (g1^9*t^7.47)/y + (2*g1^4*t^7.65)/y + (2*t^7.84)/(g1*y) + (2*t^8.02)/(g1^6*y) + (3*t^8.2)/(g1^11*y) + (g1^20*t^8.26)/y + t^8.39/(g1^16*y) + (g1^15*t^8.45)/y + t^8.57/(g1^21*y) + (g1^10*t^8.63)/y + t^8.76/(g1^26*y) + (2*g1^5*t^8.82)/y - (t^4.35*y)/g1^4 - g1^3*t^6.49*y - (t^6.67*y)/g1^2 - (t^7.04*y)/g1^12 + g1^14*t^7.28*y - (t^7.41*y)/g1^22 + g1^9*t^7.47*y + 2*g1^4*t^7.65*y + (2*t^7.84*y)/g1 + (2*t^8.02*y)/g1^6 + (3*t^8.2*y)/g1^11 + g1^20*t^8.26*y + (t^8.39*y)/g1^16 + g1^15*t^8.45*y + (t^8.57*y)/g1^21 + g1^10*t^8.63*y + (t^8.76*y)/g1^26 + 2*g1^5*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 53673 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_4\phi_1q_1^2$ + $ M_4M_6$ | 0.6636 | 0.8203 | 0.8089 | [X:[], M:[1.1638, 1.0171, 0.8362, 0.7759, 0.7156, 1.2241], q:[0.3879, 0.4482], qb:[0.595, 0.7759], phi:[0.4482]] | t^2.15 + t^2.51 + t^2.69 + t^3.05 + t^3.13 + t^3.49 + 2*t^3.67 + t^4.03 + t^4.11 + 2*t^4.29 + t^4.47 + t^4.66 + t^4.84 + t^4.91 + t^5.02 + 2*t^5.2 + t^5.28 + 2*t^5.64 + t^5.74 + 2*t^5.82 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 55953 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1^2$ | 0.6726 | 0.8389 | 0.8018 | [X:[], M:[1.159, 1.046, 0.841, 0.7727, 0.7043, 1.0907], q:[0.3863, 0.4547], qb:[0.5676, 0.7727], phi:[0.4547]] | t^2.11 + t^2.32 + t^2.52 + t^3.07 + t^3.14 + t^3.27 + t^3.48 + t^3.68 + t^4.02 + t^4.09 + 2*t^4.23 + 2*t^4.43 + 2*t^4.64 + t^4.77 + t^4.84 + t^5.05 + t^5.18 + t^5.25 + 2*t^5.38 + 3*t^5.59 + 2*t^5.79 - t^6. - t^4.36/y - t^4.36*y | detail | |
| 50915 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_4\phi_1q_1^2$ + $ \tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.4303 | 0.5191 | 0.8289 | [X:[1.5789, 1.3684], M:[1.2632, 0.4211, 0.7368, 0.8421, 0.9474], q:[0.4211, 0.3158], qb:[1.1579, 0.8421], phi:[0.3158]] | t^2.21 + t^2.53 + 2*t^2.84 + t^4.11 + t^4.42 + t^4.74 + 3*t^5.05 + 2*t^5.37 + 2*t^5.68 - 2*t^6. - t^3.95/y - t^3.95*y | detail | {a: 47223/109744, c: 28485/54872, X1: 30/19, X2: 26/19, M1: 24/19, M2: 8/19, M3: 14/19, M4: 16/19, M5: 18/19, q1: 8/19, q2: 6/19, qb1: 22/19, qb2: 16/19, phi1: 6/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46708 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ | 0.6816 | 0.8525 | 0.7995 | [X:[], M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.14 + t^2.3 + t^2.52 + t^2.68 + t^3.07 + t^3.16 + t^3.48 + t^3.64 + t^4.09 + t^4.11 + 2*t^4.27 + t^4.43 + t^4.5 + t^4.59 + t^4.66 + 2*t^4.82 + t^4.91 + t^4.98 + t^5.05 + 2*t^5.21 + t^5.29 + t^5.36 + t^5.45 + t^5.61 + t^5.68 + t^5.75 + t^5.77 + t^5.84 + t^5.93 - 2*t^6. - t^4.34/y - t^4.34*y | detail |