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 |
|---|---|---|---|---|---|---|---|---|---|
| 3375 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.6726 | 0.8559 | 0.7859 | [X:[1.6134], M:[0.8401, 0.7063, 1.1599, 0.3866, 0.8401, 0.7607, 0.6938], q:[0.4264, 0.7335], qb:[0.4138, 0.8799], phi:[0.3866]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3], [-2, 9], [-2, 4]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_7^2$, $ M_2M_7$, $ M_2^2$, $ M_6M_7$, $ M_2M_6$, $ M_7\phi_1^2$, $ M_2\phi_1^2$, $ M_6^2$, $ M_1M_7$, $ M_5M_7$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_6q_2\tilde{q}_1$, $ M_7\phi_1\tilde{q}_1^2$, $ M_7\phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$ | $\phi_1^3q_1\tilde{q}_1$ | -2 | t^2.08 + t^2.12 + t^2.28 + t^2.32 + 2*t^2.52 + t^3.44 + t^3.64 + t^3.68 + t^4.16 + t^4.2 + t^4.24 + t^4.36 + 2*t^4.4 + t^4.44 + t^4.56 + 3*t^4.6 + 3*t^4.64 + 2*t^4.8 + 3*t^4.84 + 3*t^5.04 + t^5.52 + t^5.56 + 2*t^5.72 + 2*t^5.76 + t^5.92 + 3*t^5.96 - 2*t^6. - t^6.04 + 2*t^6.16 + t^6.2 + t^6.28 + t^6.32 + t^6.36 + t^6.44 + 2*t^6.48 + 2*t^6.52 + t^6.56 + t^6.65 + 4*t^6.68 + 4*t^6.72 + 3*t^6.76 + t^6.85 + 4*t^6.88 + 5*t^6.92 + 3*t^6.96 + 3*t^7.08 + 5*t^7.12 + 3*t^7.16 - t^7.2 + t^7.29 + 3*t^7.32 + 2*t^7.36 - 2*t^7.4 + 3*t^7.56 + t^7.64 + t^7.68 + 2*t^7.81 + 3*t^7.84 + t^7.88 + 2*t^8.01 + 4*t^8.04 - 4*t^8.12 - t^8.16 + t^8.21 + 5*t^8.24 + t^8.28 - 5*t^8.32 + t^8.33 - t^8.36 + t^8.4 + 3*t^8.44 + 5*t^8.48 - 7*t^8.52 + t^8.53 - 2*t^8.56 + 2*t^8.6 + 2*t^8.64 + 4*t^8.68 + t^8.73 + t^8.76 + 5*t^8.8 + 4*t^8.84 + 3*t^8.88 + t^8.93 + 5*t^8.97 - t^4.16/y - t^6.24/y - t^6.28/y - t^6.44/y - t^6.48/y - t^6.68/y + t^7.2/y + t^7.36/y + (2*t^7.4)/y + t^7.44/y + (3*t^7.6)/y + (3*t^7.64)/y + (2*t^7.8)/y + (3*t^7.84)/y + t^7.88/y + (2*t^8.04)/y + t^8.08/y - t^8.32/y - t^8.36/y - t^8.4/y - t^8.56/y - t^8.6/y + t^8.72/y + t^8.76/y - t^8.8/y + t^8.92/y + (3*t^8.96)/y - t^4.16*y - t^6.24*y - t^6.28*y - t^6.44*y - t^6.48*y - t^6.68*y + t^7.2*y + t^7.36*y + 2*t^7.4*y + t^7.44*y + 3*t^7.6*y + 3*t^7.64*y + 2*t^7.8*y + 3*t^7.84*y + t^7.88*y + 2*t^8.04*y + t^8.08*y - t^8.32*y - t^8.36*y - t^8.4*y - t^8.56*y - t^8.6*y + t^8.72*y + t^8.76*y - t^8.8*y + t^8.92*y + 3*t^8.96*y | (g2^4*t^2.08)/g1^2 + t^2.12/g2^7 + (g2^9*t^2.28)/g1^2 + t^2.32/g2^2 + 2*g2^3*t^2.52 + (g2^8*t^3.44)/g1^2 + (g2^13*t^3.64)/g1^2 + g2^2*t^3.68 + (g2^8*t^4.16)/g1^4 + t^4.2/(g1^2*g2^3) + t^4.24/g2^14 + (g2^13*t^4.36)/g1^4 + (2*g2^2*t^4.4)/g1^2 + t^4.44/g2^9 + (g2^18*t^4.56)/g1^4 + (3*g2^7*t^4.6)/g1^2 + (3*t^4.64)/g2^4 + (2*g2^12*t^4.8)/g1^2 + 3*g2*t^4.84 + 3*g2^6*t^5.04 + (g2^12*t^5.52)/g1^4 + (g2*t^5.56)/g1^2 + (2*g2^17*t^5.72)/g1^4 + (2*g2^6*t^5.76)/g1^2 + (g2^22*t^5.92)/g1^4 + (3*g2^11*t^5.96)/g1^2 - 2*t^6. - (g1^2*t^6.04)/g2^11 + (2*g2^16*t^6.16)/g1^2 + g2^5*t^6.2 - (g1^2*t^6.24)/g2^6 + (g2^12*t^6.24)/g1^6 + (g2*t^6.28)/g1^4 + t^6.32/(g1^2*g2^10) + t^6.36/g2^21 + (g2^17*t^6.44)/g1^6 + (2*g2^6*t^6.48)/g1^4 + (2*t^6.52)/(g1^2*g2^5) + t^6.56/g2^16 + (g2^22*t^6.65)/g1^6 + (4*g2^11*t^6.68)/g1^4 + (4*t^6.72)/g1^2 + (3*t^6.76)/g2^11 + (g2^27*t^6.85)/g1^6 + (4*g2^16*t^6.88)/g1^4 + (5*g2^5*t^6.92)/g1^2 + (3*t^6.96)/g2^6 + (3*g2^21*t^7.08)/g1^4 + (5*g2^10*t^7.12)/g1^2 + (3*t^7.16)/g2 - (g1^2*t^7.2)/g2^12 + (g2^26*t^7.29)/g1^4 + (3*g2^15*t^7.32)/g1^2 + 2*g2^4*t^7.36 - (2*g1^2*t^7.4)/g2^7 + 3*g2^9*t^7.56 - (g1^2*t^7.6)/g2^2 + (g2^16*t^7.6)/g1^6 + (g2^5*t^7.64)/g1^4 + t^7.68/(g1^2*g2^6) + (2*g2^21*t^7.81)/g1^6 + (3*g2^10*t^7.84)/g1^4 + t^7.88/(g1^2*g2) + (2*g2^26*t^8.01)/g1^6 + (4*g2^15*t^8.04)/g1^4 - (4*t^8.12)/g2^7 - (g1^2*t^8.16)/g2^18 + (g2^31*t^8.21)/g1^6 + (5*g2^20*t^8.24)/g1^4 + (g2^9*t^8.28)/g1^2 - (5*t^8.32)/g2^2 + (g2^16*t^8.33)/g1^8 - (2*g1^2*t^8.36)/g2^13 + (g2^5*t^8.36)/g1^6 + t^8.4/(g1^4*g2^6) + t^8.44/(g1^2*g2^17) + (2*g2^25*t^8.44)/g1^4 + t^8.48/g2^28 + (4*g2^14*t^8.48)/g1^2 - 7*g2^3*t^8.52 + (g2^21*t^8.53)/g1^8 - (4*g1^2*t^8.56)/g2^8 + (2*g2^10*t^8.56)/g1^6 + (2*t^8.6)/(g1^4*g2) + (2*t^8.64)/(g1^2*g2^12) + t^8.68/g2^23 + (3*g2^19*t^8.68)/g1^2 + (g2^26*t^8.73)/g1^8 - (3*g1^2*t^8.76)/g2^3 + (4*g2^15*t^8.76)/g1^6 + (5*g2^4*t^8.8)/g1^4 + (4*t^8.84)/(g1^2*g2^7) + (3*t^8.88)/g2^18 + (g2^31*t^8.93)/g1^8 + (5*g2^20*t^8.97)/g1^6 - t^4.16/(g2*y) - (g2^3*t^6.24)/(g1^2*y) - t^6.28/(g2^8*y) - (g2^8*t^6.44)/(g1^2*y) - t^6.48/(g2^3*y) - (g2^2*t^6.68)/y + t^7.2/(g1^2*g2^3*y) + (g2^13*t^7.36)/(g1^4*y) + (2*g2^2*t^7.4)/(g1^2*y) + t^7.44/(g2^9*y) + (3*g2^7*t^7.6)/(g1^2*y) + (3*t^7.64)/(g2^4*y) + (2*g2^12*t^7.8)/(g1^2*y) + (3*g2*t^7.84)/y + (g1^2*t^7.88)/(g2^10*y) + (2*g2^6*t^8.04)/y + (g1^2*t^8.08)/(g2^5*y) - (g2^7*t^8.32)/(g1^4*y) - t^8.36/(g1^2*g2^4*y) - t^8.4/(g2^15*y) - (g2*t^8.56)/(g1^2*y) - t^8.6/(g2^10*y) + (g2^17*t^8.72)/(g1^4*y) + (g2^6*t^8.76)/(g1^2*y) - t^8.8/(g2^5*y) + (g2^22*t^8.92)/(g1^4*y) + (3*g2^11*t^8.96)/(g1^2*y) - (t^4.16*y)/g2 - (g2^3*t^6.24*y)/g1^2 - (t^6.28*y)/g2^8 - (g2^8*t^6.44*y)/g1^2 - (t^6.48*y)/g2^3 - g2^2*t^6.68*y + (t^7.2*y)/(g1^2*g2^3) + (g2^13*t^7.36*y)/g1^4 + (2*g2^2*t^7.4*y)/g1^2 + (t^7.44*y)/g2^9 + (3*g2^7*t^7.6*y)/g1^2 + (3*t^7.64*y)/g2^4 + (2*g2^12*t^7.8*y)/g1^2 + 3*g2*t^7.84*y + (g1^2*t^7.88*y)/g2^10 + 2*g2^6*t^8.04*y + (g1^2*t^8.08*y)/g2^5 - (g2^7*t^8.32*y)/g1^4 - (t^8.36*y)/(g1^2*g2^4) - (t^8.4*y)/g2^15 - (g2*t^8.56*y)/g1^2 - (t^8.6*y)/g2^10 + (g2^17*t^8.72*y)/g1^4 + (g2^6*t^8.76*y)/g1^2 - (t^8.8*y)/g2^5 + (g2^22*t^8.92*y)/g1^4 + (3*g2^11*t^8.96*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3853 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_7$ | 0.6036 | 0.7534 | 0.8013 | [X:[1.6046], M:[0.8137, 0.768, 1.1863, 0.3954, 0.8137, 1.0114, 0.9886], q:[0.2966, 0.8897], qb:[0.5171, 0.7149], phi:[0.3954]] | t^2.3 + t^2.37 + 2*t^2.44 + t^2.97 + t^3.03 + t^3.63 + t^4.22 + t^4.29 + t^4.61 + t^4.68 + 3*t^4.75 + 3*t^4.81 + 3*t^4.88 + t^5.27 + t^5.34 + 2*t^5.41 + 2*t^5.48 + t^5.93 - t^6. - t^4.19/y - t^4.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2830 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ | 0.6521 | 0.8157 | 0.7994 | [X:[1.6123], M:[0.8368, 0.7142, 1.1632, 0.3877, 0.8368, 0.7689], q:[0.4217, 0.7415], qb:[0.4151, 0.8707], phi:[0.3877]] | t^2.14 + t^2.31 + t^2.33 + 2*t^2.51 + t^3.47 + t^3.65 + t^3.67 + t^3.88 + t^4.28 + t^4.45 + t^4.47 + t^4.61 + t^4.63 + 3*t^4.65 + 2*t^4.82 + 3*t^4.84 + 3*t^5.02 + t^5.61 + t^5.78 + t^5.8 + t^5.96 + 3*t^5.98 - 2*t^6. - t^4.16/y - t^4.16*y | detail |