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 |
---|---|---|---|---|---|---|---|---|---|
984 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ | 0.6579 | 0.8086 | 0.8137 | [X:[], M:[1.0037, 0.7433, 0.9002, 0.8467, 1.1533, 1.1265], q:[0.6247, 0.3716], qb:[0.4751, 0.7816], phi:[0.4367]] | [X:[], M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_4$, $ M_3$, $ M_1$, $ M_6$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3^2$, $ M_2M_6$, $ M_1M_3$, $ M_2\phi_1q_2^2$, $ M_4M_6$ | . | -2 | t^2.23 + t^2.54 + t^2.7 + t^3.01 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.16 + t^4.22 + t^4.3 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.06 + t^5.08 + t^5.24 + t^5.4 + t^5.61 + t^5.71 + t^5.77 + t^5.92 - 2*t^6. + t^6.02 + 2*t^6.08 + t^6.16 + t^6.24 - t^6.31 + 2*t^6.39 + t^6.53 + t^6.55 + t^6.69 + t^6.7 + t^6.84 + t^6.86 + t^6.92 + 2*t^7. + t^7.08 + t^7.16 + t^7.17 + t^7.29 + t^7.31 + t^7.39 + t^7.47 + t^7.6 + t^7.62 + t^7.63 + t^7.68 + t^7.7 + t^7.76 + 2*t^7.84 + t^7.94 + t^8. + t^8.01 + t^8.1 + t^8.15 - 3*t^8.23 + t^8.25 + 2*t^8.31 + t^8.32 + t^8.41 + t^8.44 + t^8.46 + t^8.47 + t^8.52 - 3*t^8.54 + t^8.6 + 2*t^8.62 - 3*t^8.7 + t^8.72 + t^8.76 + t^8.77 + t^8.78 - t^8.85 + t^8.86 + t^8.92 + t^8.93 + t^8.94 - t^8.99 - t^4.31/y - t^6.54/y - t^7.01/y + t^7.3/y - t^7.32/y + t^7.61/y + t^7.77/y + t^7.93/y + t^8.08/y + (2*t^8.24)/y + t^8.55/y + t^8.61/y + t^8.69/y + t^8.71/y + t^8.92/y - t^4.31*y - t^6.54*y - t^7.01*y + t^7.3*y - t^7.32*y + t^7.61*y + t^7.77*y + t^7.93*y + t^8.08*y + 2*t^8.24*y + t^8.55*y + t^8.61*y + t^8.69*y + t^8.71*y + t^8.92*y | t^2.23/(g1^2*g2^2) + (g1*t^2.54)/g2 + t^2.7/(g1*g2^15) + (g1^2*t^3.01)/g2^14 + g2^8*t^3.38 + (g2*t^3.46)/g1 + t^3.54/(g1^2*g2^6) + (g1*t^3.85)/g2^5 + (g1^4*t^4.16)/g2^4 + (g2^17*t^4.22)/g1 + (g2^10*t^4.3)/g1^2 + t^4.46/(g1^4*g2^4) + g1*g2^11*t^4.61 + t^4.77/(g1*g2^3) + t^4.93/(g1^3*g2^17) + (g2^26*t^5.06)/g1^2 + (g1^2*t^5.08)/g2^2 + t^5.24/g2^16 + t^5.4/(g1^2*g2^30) + (g2^6*t^5.61)/g1^2 + (g1*t^5.71)/g2^29 + t^5.77/(g1^4*g2^8) + g1*g2^7*t^5.92 - 2*t^6. + (g1^4*t^6.02)/g2^28 + (2*t^6.08)/(g1*g2^7) + t^6.16/(g1^2*g2^14) + t^6.24/(g1^3*g2^21) - g1^3*g2*t^6.31 + (2*g1^2*t^6.39)/g2^6 + (g2^8*t^6.53)/g1^4 + t^6.55/g2^20 + t^6.69/(g1^6*g2^6) + (g1^5*t^6.7)/g2^5 + (g2^9*t^6.84)/g1 + (g1^3*t^6.86)/g2^19 + (g2^2*t^6.92)/g1^2 + (2*t^7.)/(g1^3*g2^5) + t^7.08/(g1^4*g2^12) + t^7.16/(g1^5*g2^19) + (g1^6*t^7.17)/g2^18 + (g2^24*t^7.29)/g1^4 + t^7.31/g2^4 + t^7.39/(g1*g2^11) + t^7.47/(g1^2*g2^18) + (g2^25*t^7.6)/g1 + (g1^3*t^7.62)/g2^3 + t^7.63/(g1^4*g2^32) + (g2^18*t^7.68)/g1^2 + (g1^2*t^7.7)/g2^10 + (g2^11*t^7.76)/g1^3 + (2*g2^4*t^7.84)/g1^4 + t^7.94/(g1*g2^31) + t^8./(g1^6*g2^10) + (g1^5*t^8.01)/g2^9 + t^8.1/(g1^3*g2^45) + (g2^5*t^8.15)/g1 - (3*t^8.23)/(g1^2*g2^2) + (g1^2*t^8.25)/g2^30 + (2*t^8.31)/(g1^3*g2^9) + (g1^8*t^8.32)/g2^8 + t^8.41/g2^44 + (g2^34*t^8.44)/g1^2 + g1^2*g2^6*t^8.46 + t^8.47/(g1^5*g2^23) + (g2^27*t^8.52)/g1^3 - (3*g1*t^8.54)/g2 + (g2^20*t^8.6)/g1^4 + (2*t^8.62)/g2^8 - (3*t^8.7)/(g1*g2^15) + (g1^3*t^8.72)/g2^43 + (g2^6*t^8.76)/g1^6 + g1^5*g2^7*t^8.77 + t^8.78/(g1^2*g2^22) - g1^4*t^8.85 + t^8.86/(g1^3*g2^29) + t^8.92/(g1^8*g2^8) + (g1^3*t^8.93)/g2^7 + t^8.94/(g1^4*g2^36) - (g2^14*t^8.99)/g1^2 - t^4.31/(g2^4*y) - t^6.54/(g1^2*g2^6*y) - t^7.01/(g1*g2^19*y) + (g2^10*t^7.3)/(g1^2*y) - (g1^2*t^7.32)/(g2^18*y) + (g1*g2^11*t^7.61)/y + t^7.77/(g1*g2^3*y) + t^7.93/(g1^3*g2^17*y) + (g1^2*t^8.08)/(g2^2*y) + (2*t^8.24)/(g2^16*y) + (g1^3*t^8.55)/(g2^15*y) + (g2^6*t^8.61)/(g1^2*y) + t^8.69/(g1^3*g2*y) + (g1*t^8.71)/(g2^29*y) + (g1*g2^7*t^8.92)/y - (t^4.31*y)/g2^4 - (t^6.54*y)/(g1^2*g2^6) - (t^7.01*y)/(g1*g2^19) + (g2^10*t^7.3*y)/g1^2 - (g1^2*t^7.32*y)/g2^18 + g1*g2^11*t^7.61*y + (t^7.77*y)/(g1*g2^3) + (t^7.93*y)/(g1^3*g2^17) + (g1^2*t^8.08*y)/g2^2 + (2*t^8.24*y)/g2^16 + (g1^3*t^8.55*y)/g2^15 + (g2^6*t^8.61*y)/g1^2 + (t^8.69*y)/(g1^3*g2) + (g1*t^8.71*y)/g2^29 + g1*g2^7*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
1541 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2M_6$ | 0.6343 | 0.7825 | 0.8106 | [X:[], M:[0.8386, 0.8386, 0.8867, 0.7904, 1.2096, 1.1614], q:[0.7422, 0.4193], qb:[0.3711, 0.7904], phi:[0.4193]] | t^2.37 + 2*t^2.52 + t^2.66 + 2*t^3.48 + 2*t^3.63 + t^3.77 + 2*t^4.6 + 2*t^4.74 + t^4.89 + 3*t^5.03 + 2*t^5.18 + t^5.32 + t^5.71 + t^5.86 + 2*t^6. - t^4.26/y - t^4.26*y | detail | |
1543 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ | 0.6562 | 0.8056 | 0.8146 | [X:[], M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138], q:[0.6167, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | t^2.34 + t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.5 + t^3.66 + t^3.83 + t^3.99 + t^4.19 + t^4.35 + t^4.51 + t^4.67 + t^4.83 + t^4.99 + t^5.03 + t^5.16 + t^5.32 + t^5.64 + t^5.68 + t^5.8 + t^5.84 + t^5.96 - t^6. - t^4.33/y - t^4.33*y | detail | |
1545 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_3M_7$ | 0.6522 | 0.7999 | 0.8154 | [X:[], M:[1.0397, 0.7772, 0.9784, 0.8385, 1.1615, 1.0915, 1.0216], q:[0.5717, 0.3886], qb:[0.4499, 0.7729], phi:[0.4542]] | t^2.33 + t^2.52 + t^3.06 + t^3.12 + t^3.27 + t^3.48 + t^3.69 + t^3.88 + t^4.03 + t^4.06 + t^4.24 + t^4.43 + t^4.66 + t^4.79 + t^4.85 + t^5.03 + t^5.4 + t^5.58 + t^5.61 + t^5.79 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
1546 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6781 | 0.8467 | 0.8009 | [X:[], M:[1.011, 0.7404, 0.9027, 0.8487, 1.1513, 1.1243, 0.7134], q:[0.6188, 0.3702], qb:[0.4785, 0.7811], phi:[0.4379]] | t^2.14 + t^2.22 + t^2.55 + t^2.71 + t^3.03 + t^3.37 + t^3.45 + t^3.53 + t^4.18 + t^4.2 + 2*t^4.28 + t^4.36 + t^4.44 + t^4.61 + t^4.69 + t^4.77 + t^4.85 + t^4.93 + t^5.03 + t^5.09 + t^5.17 + t^5.25 + t^5.42 + t^5.51 + 2*t^5.59 + t^5.68 + t^5.74 + t^5.76 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
1544 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ | 0.6741 | 0.8369 | 0.8055 | [X:[], M:[1.0013, 0.7671, 0.9309, 0.8375, 1.1625, 1.1158, 0.7907], q:[0.6152, 0.3836], qb:[0.4539, 0.7789], phi:[0.4421]] | t^2.3 + t^2.37 + t^2.51 + t^2.79 + t^3. + t^3.35 + t^3.49 + t^3.84 + t^4.05 + t^4.18 + t^4.32 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.81 + t^4.88 + 2*t^5.02 + t^5.09 + t^5.17 + t^5.31 + t^5.38 + t^5.59 + t^5.65 + t^5.72 + t^5.8 + 2*t^5.86 - 2*t^6. - t^4.33/y - t^4.33*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
609 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6698 | 0.8297 | 0.8073 | [X:[], M:[0.9823, 0.7363, 0.8719, 0.8467, 1.1533], q:[0.6495, 0.3682], qb:[0.4785, 0.7852], phi:[0.4297]] | t^2.21 + t^2.54 + t^2.58 + t^2.62 + t^2.95 + t^3.46 + t^3.5 + t^3.83 + t^4.16 + t^4.3 + t^4.34 + t^4.42 + t^4.67 + t^4.75 + t^4.79 + t^4.82 + t^5.08 + t^5.12 + 2*t^5.16 + 2*t^5.19 + t^5.23 + t^5.52 + t^5.56 + t^5.71 + t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail |