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 |
---|---|---|---|---|---|---|---|---|---|
974 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}M_{6}$ | 0.7089 | 0.8701 | 0.8148 | [M:[1.0, 0.8961, 0.8961, 1.0, 1.052, 0.948], q:[0.5779, 0.4221], qb:[0.526, 0.5779], phi:[0.474]] | [M:[[-3, 1], [-1, -1], [-7, 1], [3, -1], [2, 0], [-2, 0]], q:[[6, -1], [-3, 0]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{4}^{2}$ | -3 | 2*t^2.688 + 2*t^2.844 + 2*t^3. + t^3.468 + t^3.954 + t^4.266 + 2*t^4.422 + t^4.578 + 2*t^4.734 + 3*t^4.89 + 3*t^5.377 + 2*t^5.532 + 6*t^5.688 + 2*t^5.844 - 3*t^6. + 2*t^6.643 + 2*t^6.799 + t^6.935 + 2*t^6.954 + 4*t^7.11 + 4*t^7.266 + 4*t^7.422 + 6*t^7.578 + 4*t^7.734 + 2*t^7.89 + t^7.909 - 3*t^8.046 + 4*t^8.065 + 3*t^8.221 + 3*t^8.357 + 8*t^8.377 + 6*t^8.532 - 2*t^8.688 - 3*t^8.844 - t^4.422/y - (2*t^7.11)/y - t^7.266/y + t^7.578/y + (2*t^7.734)/y + t^8.377/y + (4*t^8.532)/y + (5*t^8.688)/y + (4*t^8.844)/y - t^4.422*y - 2*t^7.11*y - t^7.266*y + t^7.578*y + 2*t^7.734*y + t^8.377*y + 4*t^8.532*y + 5*t^8.688*y + 4*t^8.844*y | t^2.688/(g1*g2) + (g2*t^2.688)/g1^7 + (2*t^2.844)/g1^2 + (g1^3*t^3.)/g2 + (g2*t^3.)/g1^3 + g1^6*t^3.468 + t^3.954/g1^7 + t^4.266/g1^3 + (g1^2*t^4.422)/g2 + (g2*t^4.422)/g1^4 + g1*t^4.578 + (g1^6*t^4.734)/g2 + g2*t^4.734 + g1^5*t^4.89 + (g1^11*t^4.89)/g2^2 + (g2^2*t^4.89)/g1 + t^5.377/g1^8 + t^5.377/(g1^2*g2^2) + (g2^2*t^5.377)/g1^14 + t^5.532/(g1^3*g2) + (g2*t^5.532)/g1^9 + (4*t^5.688)/g1^4 + (g1^2*t^5.688)/g2^2 + (g2^2*t^5.688)/g1^10 + (g1*t^5.844)/g2 + (g2*t^5.844)/g1^5 - 3*t^6. + t^6.643/(g1^8*g2) + (g2*t^6.643)/g1^14 + (2*t^6.799)/g1^9 + g1^12*t^6.935 + t^6.954/(g1^4*g2) + (g2*t^6.954)/g1^10 + (2*t^7.11)/g1^5 + (g1*t^7.11)/g2^2 + (g2^2*t^7.11)/g1^11 + (2*t^7.266)/g2 + (2*g2*t^7.266)/g1^6 + (2*t^7.422)/g1 + (g1^5*t^7.422)/g2^2 + (g2^2*t^7.422)/g1^7 + (g1^10*t^7.578)/g2^3 + (2*g1^4*t^7.578)/g2 + (2*g2*t^7.578)/g1^2 + (g2^3*t^7.578)/g1^8 + (2*g1^9*t^7.734)/g2^2 + (2*g2^2*t^7.734)/g1^3 + (g1^14*t^7.89)/g2^3 + (g2^3*t^7.89)/g1^4 + t^7.909/g1^14 - g1^7*t^8.046 - (g1^13*t^8.046)/g2^2 - g1*g2^2*t^8.046 + t^8.065/(g1^3*g2^3) + t^8.065/(g1^9*g2) + (g2*t^8.065)/g1^15 + (g2^3*t^8.065)/g1^21 + t^8.221/g1^10 + t^8.221/(g1^4*g2^2) + (g2^2*t^8.221)/g1^16 + g1^11*t^8.357 + (g1^17*t^8.357)/g2^2 + g1^5*g2^2*t^8.357 + (g1*t^8.377)/g2^3 + (3*t^8.377)/(g1^5*g2) + (3*g2*t^8.377)/g1^11 + (g2^3*t^8.377)/g1^17 + (4*t^8.532)/g1^6 + t^8.532/g2^2 + (g2^2*t^8.532)/g1^12 - t^8.688/(g1*g2) - (g2*t^8.688)/g1^7 - (5*t^8.844)/g1^2 + (g1^4*t^8.844)/g2^2 + (g2^2*t^8.844)/g1^8 - t^4.422/(g1*y) - t^7.11/(g1^2*g2*y) - (g2*t^7.11)/(g1^8*y) - t^7.266/(g1^3*y) + (g1*t^7.578)/y + (g1^6*t^7.734)/(g2*y) + (g2*t^7.734)/y + t^8.377/(g1^8*y) + (2*t^8.532)/(g1^3*g2*y) + (2*g2*t^8.532)/(g1^9*y) + (3*t^8.688)/(g1^4*y) + (g1^2*t^8.688)/(g2^2*y) + (g2^2*t^8.688)/(g1^10*y) + (2*g1*t^8.844)/(g2*y) + (2*g2*t^8.844)/(g1^5*y) - (t^4.422*y)/g1 - (t^7.11*y)/(g1^2*g2) - (g2*t^7.11*y)/g1^8 - (t^7.266*y)/g1^3 + g1*t^7.578*y + (g1^6*t^7.734*y)/g2 + g2*t^7.734*y + (t^8.377*y)/g1^8 + (2*t^8.532*y)/(g1^3*g2) + (2*g2*t^8.532*y)/g1^9 + (3*t^8.688*y)/g1^4 + (g1^2*t^8.688*y)/g2^2 + (g2^2*t^8.688*y)/g1^10 + (2*g1*t^8.844*y)/g2 + (2*g2*t^8.844*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
1511 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7297 | 0.9109 | 0.8011 | [M:[1.0, 0.899, 0.899, 1.0, 1.0505, 0.9495, 0.6767], q:[0.5757, 0.4243], qb:[0.5252, 0.5757], phi:[0.4748]] | t^2.03 + 2*t^2.697 + 2*t^2.849 + 2*t^3. + t^3.454 + t^4.06 + t^4.273 + 2*t^4.424 + t^4.576 + 4*t^4.727 + 5*t^4.879 + 2*t^5.03 + 3*t^5.394 + t^5.485 + 2*t^5.546 + 6*t^5.697 + 2*t^5.849 - 3*t^6. - t^4.424/y - t^4.424*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 |
---|---|---|---|---|---|---|---|---|---|
604 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.7044 | 0.8621 | 0.8171 | [M:[1.0, 0.91, 0.91, 1.0, 1.045], q:[0.5675, 0.4325], qb:[0.5225, 0.5675], phi:[0.4775]] | 2*t^2.73 + t^2.865 + 2*t^3. + t^3.135 + t^3.405 + t^4.028 + t^4.298 + 2*t^4.433 + t^4.567 + 2*t^4.702 + 3*t^4.837 + 3*t^5.46 + 4*t^5.73 + 2*t^5.865 - 2*t^6. - t^4.433/y - t^4.433*y | detail |