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 |
---|---|---|---|---|---|---|---|---|---|
1038 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.659 | 0.8115 | 0.8121 | [X:[], M:[1.159, 1.1213, 0.9165, 1.0, 0.841, 0.7197], q:[0.7803, 0.4622], qb:[0.3787, 0.6213], phi:[0.4394]] | [X:[], M:[[-3], [4], [-11], [0], [3], [-1]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_3M_6$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ M_3^2$, $ M_4M_5$, $ M_2M_6$, $ M_1M_6$, $ M_3M_4$, $ M_6\phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_6q_1q_2$ | . | -1 | t^2.16 + t^2.52 + t^2.75 + t^3. + t^3.36 + t^3.48 + t^3.59 + t^3.73 + t^4.09 + t^4.2 + 2*t^4.32 + t^4.57 + t^4.68 + t^4.91 + 2*t^5.05 + t^5.16 + t^5.5 + t^5.52 + t^5.64 + t^5.75 + 2*t^5.89 - t^6. + t^6.11 + t^6.23 + t^6.25 + t^6.34 + t^6.36 + 2*t^6.48 + t^6.61 + 2*t^6.73 + t^6.84 + t^6.95 + 2*t^7.07 + 2*t^7.09 + t^7.18 + 2*t^7.2 + t^7.32 + t^7.46 + 2*t^7.57 + t^7.66 + 2*t^7.68 + 2*t^7.8 + t^7.82 + 2*t^7.91 + t^7.93 + 2*t^8.05 - 2*t^8.16 + t^8.18 + t^8.25 + t^8.3 + t^8.39 + 2*t^8.41 + t^8.5 + 3*t^8.64 + t^8.66 - 2*t^8.75 + 2*t^8.77 + t^8.98 - t^4.32/y - t^6.48/y - t^7.07/y + t^7.57/y + t^7.68/y + t^7.91/y + (2*t^8.16)/y + t^8.27/y + (2*t^8.52)/y + (2*t^8.75)/y + (2*t^8.89)/y - t^4.32*y - t^6.48*y - t^7.07*y + t^7.57*y + t^7.68*y + t^7.91*y + 2*t^8.16*y + t^8.27*y + 2*t^8.52*y + 2*t^8.75*y + 2*t^8.89*y | t^2.16/g1 + g1^3*t^2.52 + t^2.75/g1^11 + t^3. + g1^4*t^3.36 + t^3.48/g1^3 + t^3.59/g1^10 + g1^8*t^3.73 + g1^12*t^4.09 + g1^5*t^4.2 + (2*t^4.32)/g1^2 + g1^9*t^4.57 + g1^2*t^4.68 + t^4.91/g1^12 + 2*g1^6*t^5.05 + t^5.16/g1 + t^5.5/g1^22 + g1^3*t^5.52 + t^5.64/g1^4 + t^5.75/g1^11 + 2*g1^7*t^5.89 - t^6. + t^6.11/g1^7 + t^6.23/g1^14 + g1^11*t^6.25 + t^6.34/g1^21 + g1^4*t^6.36 + (2*t^6.48)/g1^3 + g1^15*t^6.61 + 2*g1^8*t^6.73 + g1*t^6.84 + t^6.95/g1^6 + (2*t^7.07)/g1^13 + 2*g1^12*t^7.09 + t^7.18/g1^20 + 2*g1^5*t^7.2 + t^7.32/g1^2 + g1^16*t^7.46 + 2*g1^9*t^7.57 + t^7.66/g1^23 + 2*g1^2*t^7.68 + (2*t^7.8)/g1^5 + g1^20*t^7.82 + (2*t^7.91)/g1^12 + g1^13*t^7.93 + 2*g1^6*t^8.05 - (2*t^8.16)/g1 + g1^24*t^8.18 + t^8.25/g1^33 + g1^17*t^8.3 + t^8.39/g1^15 + 2*g1^10*t^8.41 + t^8.5/g1^22 + (3*t^8.64)/g1^4 + g1^21*t^8.66 - (2*t^8.75)/g1^11 + 2*g1^14*t^8.77 + t^8.98/g1^25 - t^4.32/(g1^2*y) - t^6.48/(g1^3*y) - t^7.07/(g1^13*y) + (g1^9*t^7.57)/y + (g1^2*t^7.68)/y + t^7.91/(g1^12*y) + (2*t^8.16)/(g1*y) + t^8.27/(g1^8*y) + (2*g1^3*t^8.52)/y + (2*t^8.75)/(g1^11*y) + (2*g1^7*t^8.89)/y - (t^4.32*y)/g1^2 - (t^6.48*y)/g1^3 - (t^7.07*y)/g1^13 + g1^9*t^7.57*y + g1^2*t^7.68*y + (t^7.91*y)/g1^12 + (2*t^8.16*y)/g1 + (t^8.27*y)/g1^8 + 2*g1^3*t^8.52*y + (2*t^8.75*y)/g1^11 + 2*g1^7*t^8.89*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 |
---|---|---|---|---|---|---|---|---|
1621 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_1M_7$ | 0.6729 | 0.8357 | 0.8052 | [X:[], M:[1.1628, 1.1162, 0.9304, 1.0, 0.8372, 0.7209, 0.8372], q:[0.7791, 0.4534], qb:[0.3838, 0.6162], phi:[0.4419]] | t^2.16 + 2*t^2.51 + t^2.79 + t^3. + t^3.35 + t^3.63 + t^3.7 + t^4.05 + t^4.19 + 2*t^4.33 + t^4.53 + 2*t^4.67 + t^4.95 + 4*t^5.02 + t^5.16 + t^5.3 + 2*t^5.51 + t^5.58 + t^5.79 + 3*t^5.86 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
1615 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ | 0.6542 | 0.8076 | 0.81 | [X:[], M:[1.1818, 1.0909, 1.0, 1.0, 0.8182, 0.7273], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | t^2.18 + t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + t^4.64 + 2*t^4.91 + 2*t^5.18 + t^5.45 + 3*t^5.73 + 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 3483/5324, c: 17199/21296, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, M6: 8/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
1619 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6762 | 0.8432 | 0.8019 | [X:[], M:[1.168, 1.1093, 0.9495, 1.0, 0.832, 0.7227, 0.7732], q:[0.7773, 0.4412], qb:[0.3907, 0.6093], phi:[0.4454]] | t^2.17 + t^2.32 + t^2.5 + t^2.85 + t^3. + t^3.33 + t^3.5 + t^3.66 + t^3.98 + t^4.16 + 2*t^4.34 + 2*t^4.49 + t^4.64 + t^4.66 + t^4.82 + 2*t^4.99 + t^5.02 + 2*t^5.17 + t^5.32 + t^5.5 + t^5.65 + t^5.67 + t^5.7 + 3*t^5.82 + t^5.98 - t^6. - t^4.34/y - t^4.34*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 |
---|---|---|---|---|---|---|---|---|---|
651 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6389 | 0.7739 | 0.8256 | [X:[], M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | t^2.52 + t^2.75 + t^3. + t^3.36 + t^3.48 + t^3.6 + t^3.72 + t^3.84 + t^4.09 + t^4.2 + t^4.32 + t^4.56 + 2*t^5.04 + t^5.51 + t^5.88 - t^6. - t^4.32/y - t^4.32*y | detail |