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 |
---|---|---|---|---|---|---|---|---|---|
79444 | SO5a2nf1 | ${}M_{1}q_{1}^{2}$ | 2.345 | 2.3996 | 0.9772 | [X:[], M:[0.7573], q:[0.6213], qb:[], phi:[], S:[], Sb:[], A:[0.5631, 0.5631], Ab:[]] | [X:[], M:[[0, -6]], q:[[0, 3]], qb:[], phi:[], S:[], Sb:[], A:[[-1, -1], [1, 0]], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }A_{2}^{2}$, ${ }A_{1}^{2}$, ${ }A_{1}A_{2}$, ${ }M_{1}^{2}$, ${ }A_{1}^{2}q_{1}$, ${ }A_{1}A_{2}q_{1}$, ${ }A_{2}^{2}q_{1}$, ${ }A_{1}^{2}M_{1}$, ${ }A_{1}A_{2}M_{1}$, ${ }A_{2}^{2}M_{1}$ | ${}$ | -4 | t^2.272 + 3*t^3.379 + t^4.544 + 3*t^5.243 + 3*t^5.651 - 4*t^6. + 12*t^6.757 + t^6.816 + 2*t^6.932 + 3*t^7.107 - 2*t^7.689 - 3*t^7.864 + 3*t^7.923 - 4*t^8.272 + 14*t^8.621 + 2*t^8.796 - (2*t^4.689)/y - (2*t^6.553)/y - (2*t^6.961)/y + (2*t^7.311)/y - (10*t^8.068)/y - t^8.243/y + (3*t^8.651)/y - 2*t^4.689*y - 2*t^6.553*y - 2*t^6.961*y + 2*t^7.311*y - 10*t^8.068*y - t^8.243*y + 3*t^8.651*y | t^2.272/g2^6 + g1^2*t^3.379 + t^3.379/(g1^2*g2^2) + t^3.379/g2 + t^4.544/g2^12 + (g2*t^5.243)/g1^2 + g2^2*t^5.243 + g1^2*g2^3*t^5.243 + t^5.651/(g1^2*g2^8) + t^5.651/g2^7 + (g1^2*t^5.651)/g2^6 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + 2*g1^4*t^6.757 + (2*t^6.757)/(g1^4*g2^4) + (2*t^6.757)/(g1^2*g2^3) + (4*t^6.757)/g2^2 + (2*g1^2*t^6.757)/g2 + t^6.816/g2^18 + (g2*t^6.932)/g1 + g1*g2^2*t^6.932 + (g2^4*t^7.107)/g1^2 + g2^5*t^7.107 + g1^2*g2^6*t^7.107 - g1*t^7.689 - t^7.689/(g1*g2) - (g2^2*t^7.864)/g1^2 - g2^3*t^7.864 - g1^2*g2^4*t^7.864 + t^7.923/(g1^2*g2^14) + t^7.923/g2^13 + (g1^2*t^7.923)/g2^12 - t^8.272/(g1^2*g2^7) - (2*t^8.272)/g2^6 - (g1^2*t^8.272)/g2^5 + (3*t^8.621)/g1^2 + t^8.621/(g1^4*g2) + 6*g2*t^8.621 + 3*g1^2*g2^2*t^8.621 + g1^4*g2^3*t^8.621 + (g2^4*t^8.796)/g1 + g1*g2^5*t^8.796 - (g1*t^4.689)/y - t^4.689/(g1*g2*y) - (g2^2*t^6.553)/(g1*y) - (g1*g2^3*t^6.553)/y - t^6.961/(g1*g2^7*y) - (g1*t^6.961)/(g2^6*y) + t^7.311/(g1*y) + (g1*g2*t^7.311)/y - (2*g1^3*t^8.068)/y - (2*t^8.068)/(g1^3*g2^3*y) - (3*t^8.068)/(g1*g2^2*y) - (3*g1*t^8.068)/(g2*y) - (g2^2*t^8.243)/y + t^8.651/(g1^2*g2^8*y) + t^8.651/(g2^7*y) + (g1^2*t^8.651)/(g2^6*y) - g1*t^4.689*y - (t^4.689*y)/(g1*g2) - (g2^2*t^6.553*y)/g1 - g1*g2^3*t^6.553*y - (t^6.961*y)/(g1*g2^7) - (g1*t^6.961*y)/g2^6 + (t^7.311*y)/g1 + g1*g2*t^7.311*y - 2*g1^3*t^8.068*y - (2*t^8.068*y)/(g1^3*g2^3) - (3*t^8.068*y)/(g1*g2^2) - (3*g1*t^8.068*y)/g2 - g2^2*t^8.243*y + (t^8.651*y)/(g1^2*g2^8) + (t^8.651*y)/g2^7 + (g1^2*t^8.651*y)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
79458 | ${}M_{1}q_{1}^{2}$ + ${ }A_{1}A_{2}M_{1}$ | 2.3386 | 2.3921 | 0.9776 | [X:[], M:[0.8571], q:[0.5714], qb:[], phi:[], S:[], Sb:[], A:[0.5714, 0.5714], Ab:[]] | t^2.571 + 3*t^3.429 + 4*t^5.143 - t^6. - (2*t^4.714)/y - 2*t^4.714*y | detail | {a: 6417/2744, c: 1641/686, M1: 6/7, q1: 4/7, A1: 4/7, A2: 4/7} |
79452 | ${}M_{1}q_{1}^{2}$ + ${ }A_{2}^{2}M_{1}$ | 2.3399 | 2.3937 | 0.9775 | [X:[], M:[0.8366], q:[0.5817], qb:[], phi:[], S:[], Sb:[], A:[0.5577, 0.5817], Ab:[]] | t^2.51 + t^3.346 + t^3.418 + t^3.49 + t^5.019 + t^5.091 + t^5.163 + t^5.235 + t^5.856 - t^6. - t^4.673/y - t^4.745/y - t^4.673*y - t^4.745*y | detail | |
79450 | ${}M_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ | 2.3079 | 2.36 | 0.9779 | [X:[], M:[1.0], q:[0.5], qb:[], phi:[], S:[], Sb:[], A:[0.5833, 0.5833], Ab:[]] | t^3. + 3*t^3.5 + 3*t^5. - 3*t^6. - (2*t^4.75)/y - 2*t^4.75*y | detail | {a: 3545/1536, c: 3625/1536, M1: 1, q1: 1/2, A1: 7/12, A2: 7/12} |
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 |
---|---|---|---|---|---|---|---|---|---|
79439 | SO5a2nf1 | ${}$ | 2.3273 | 2.3692 | 0.9823 | [X:[], M:[], q:[0.5975], qb:[], phi:[], S:[], Sb:[], A:[0.5671, 0.5671], Ab:[]] | 3*t^3.402 + t^3.585 + 3*t^5.195 - 4*t^6. - (2*t^4.701)/y - 2*t^4.701*y | detail |