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 |
---|---|---|---|---|---|---|---|---|---|
4532 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.7102 | 0.8804 | 0.8067 | [M:[0.9108, 1.0297, 1.0892, 0.8513, 1.0, 0.9405, 0.9108, 0.9703], q:[0.5, 0.5892], qb:[0.4108, 0.5595], phi:[0.4851]] | [M:[[-6], [2], [6], [-10], [0], [-4], [-6], [-2]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -3 | t^2.554 + 2*t^2.732 + t^2.822 + 2*t^2.911 + t^3. + t^3.92 + t^4.188 + t^4.366 + 2*t^4.455 + t^4.634 + t^4.723 + t^4.812 + t^4.901 + t^4.991 + t^5.108 + 2*t^5.286 + t^5.376 + 4*t^5.465 + 2*t^5.554 + 5*t^5.643 + 2*t^5.732 + 3*t^5.822 + t^5.911 - 3*t^6. - t^6.089 - 2*t^6.178 - 2*t^6.268 - t^6.446 + t^6.474 - t^6.535 + 2*t^6.653 + 2*t^6.742 + 2*t^6.831 + 3*t^6.92 + t^7.009 + 3*t^7.099 + 4*t^7.188 + 3*t^7.277 + 5*t^7.366 + t^7.455 + 2*t^7.545 + 2*t^7.634 + t^7.662 + 2*t^7.723 + 2*t^7.812 + 3*t^7.84 - t^7.901 + t^7.93 - t^7.991 + 4*t^8.019 - 2*t^8.08 + 3*t^8.108 - t^8.169 + 7*t^8.197 + 3*t^8.286 + 10*t^8.376 + 3*t^8.465 + 4*t^8.554 + 4*t^8.643 - 4*t^8.732 - 3*t^8.822 - 8*t^8.911 - t^4.455/y - t^7.009/y - t^7.188/y - t^7.277/y - t^7.366/y + t^7.545/y + t^7.634/y + t^7.723/y + t^7.901/y + (2*t^8.286)/y + t^8.376/y + (3*t^8.465)/y + (3*t^8.554)/y + (4*t^8.643)/y + (4*t^8.732)/y + (2*t^8.822)/y + (2*t^8.911)/y - t^4.455*y - t^7.009*y - t^7.188*y - t^7.277*y - t^7.366*y + t^7.545*y + t^7.634*y + t^7.723*y + t^7.901*y + 2*t^8.286*y + t^8.376*y + 3*t^8.465*y + 3*t^8.554*y + 4*t^8.643*y + 4*t^8.732*y + 2*t^8.822*y + 2*t^8.911*y | t^2.554/g1^10 + (2*t^2.732)/g1^6 + t^2.822/g1^4 + (2*t^2.911)/g1^2 + t^3. + t^3.92/g1^13 + t^4.188/g1^7 + t^4.366/g1^3 + (2*t^4.455)/g1 + g1^3*t^4.634 + g1^5*t^4.723 + g1^7*t^4.812 + g1^9*t^4.901 + g1^11*t^4.991 + t^5.108/g1^20 + (2*t^5.286)/g1^16 + t^5.376/g1^14 + (4*t^5.465)/g1^12 + (2*t^5.554)/g1^10 + (5*t^5.643)/g1^8 + (2*t^5.732)/g1^6 + (3*t^5.822)/g1^4 + t^5.911/g1^2 - 3*t^6. - g1^2*t^6.089 - 2*g1^4*t^6.178 - 2*g1^6*t^6.268 - g1^10*t^6.446 + t^6.474/g1^23 - g1^12*t^6.535 + (2*t^6.653)/g1^19 + (2*t^6.742)/g1^17 + (2*t^6.831)/g1^15 + (3*t^6.92)/g1^13 + t^7.009/g1^11 + (3*t^7.099)/g1^9 + (4*t^7.188)/g1^7 + (3*t^7.277)/g1^5 + (5*t^7.366)/g1^3 + t^7.455/g1 + 2*g1*t^7.545 + 2*g1^3*t^7.634 + t^7.662/g1^30 + 2*g1^5*t^7.723 + 2*g1^7*t^7.812 + (3*t^7.84)/g1^26 - g1^9*t^7.901 + t^7.93/g1^24 - g1^11*t^7.991 + (4*t^8.019)/g1^22 - 2*g1^13*t^8.08 + (3*t^8.108)/g1^20 - g1^15*t^8.169 + (7*t^8.197)/g1^18 + (3*t^8.286)/g1^16 + (10*t^8.376)/g1^14 + (3*t^8.465)/g1^12 + (4*t^8.554)/g1^10 + (4*t^8.643)/g1^8 - (4*t^8.732)/g1^6 - (3*t^8.822)/g1^4 - (8*t^8.911)/g1^2 - t^4.455/(g1*y) - t^7.009/(g1^11*y) - t^7.188/(g1^7*y) - t^7.277/(g1^5*y) - t^7.366/(g1^3*y) + (g1*t^7.545)/y + (g1^3*t^7.634)/y + (g1^5*t^7.723)/y + (g1^9*t^7.901)/y + (2*t^8.286)/(g1^16*y) + t^8.376/(g1^14*y) + (3*t^8.465)/(g1^12*y) + (3*t^8.554)/(g1^10*y) + (4*t^8.643)/(g1^8*y) + (4*t^8.732)/(g1^6*y) + (2*t^8.822)/(g1^4*y) + (2*t^8.911)/(g1^2*y) - (t^4.455*y)/g1 - (t^7.009*y)/g1^11 - (t^7.188*y)/g1^7 - (t^7.277*y)/g1^5 - (t^7.366*y)/g1^3 + g1*t^7.545*y + g1^3*t^7.634*y + g1^5*t^7.723*y + g1^9*t^7.901*y + (2*t^8.286*y)/g1^16 + (t^8.376*y)/g1^14 + (3*t^8.465*y)/g1^12 + (3*t^8.554*y)/g1^10 + (4*t^8.643*y)/g1^8 + (4*t^8.732*y)/g1^6 + (2*t^8.822*y)/g1^4 + (2*t^8.911*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 |
---|---|---|---|---|---|---|---|---|
6033 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7309 | 0.9202 | 0.7943 | [M:[0.915, 1.0283, 1.085, 0.8583, 1.0, 0.9433, 0.915, 0.9717, 0.6842], q:[0.5, 0.585], qb:[0.415, 0.5567], phi:[0.4858]] | t^2.053 + t^2.575 + 2*t^2.745 + t^2.83 + 2*t^2.915 + t^3. + t^4.105 + t^4.202 + t^4.372 + 2*t^4.457 + 2*t^4.628 + t^4.713 + 3*t^4.798 + 2*t^4.883 + 3*t^4.968 + t^5.053 + t^5.15 + 2*t^5.32 + t^5.405 + 4*t^5.49 + 2*t^5.575 + 5*t^5.66 + 2*t^5.745 + 3*t^5.83 + t^5.915 - 3*t^6. - t^4.457/y - t^4.457*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 |
---|---|---|---|---|---|---|---|---|---|
2479 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7076 | 0.875 | 0.8086 | [M:[0.917, 1.0277, 1.083, 0.8617, 1.0, 0.9447, 0.917], q:[0.5, 0.583], qb:[0.417, 0.5553], phi:[0.4862]] | t^2.585 + 2*t^2.751 + t^2.834 + t^2.917 + t^3. + t^3.083 + t^3.961 + t^4.21 + t^4.376 + 2*t^4.459 + t^4.624 + t^4.707 + t^4.79 + t^4.873 + t^4.956 + t^5.17 + 2*t^5.336 + t^5.419 + 3*t^5.502 + 2*t^5.585 + 4*t^5.668 + t^5.751 + 3*t^5.834 + t^5.917 - 2*t^6. - t^4.459/y - t^4.459*y | detail |