Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
56866	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$	0.7238	0.9008	0.8035	[M:[0.9257, 1.0605, 0.9533, 0.8185, 1.0605, 0.9395, 0.8185, 0.9395], q:[0.4161, 0.6582], qb:[0.5233, 0.5233], phi:[0.4697]]	[M:[[-4, 8], [2, 2], [0, -12], [-6, -6], [2, 2], [-2, -2], [-6, -6], [-2, -2]], q:[[-2, -8], [6, 0]], qb:[[0, 6], [0, 6]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$	${}$	-6	2*t^2.455 + t^2.777 + 3*t^2.818 + t^2.86 + t^3.906 + 2*t^4.228 + 3*t^4.549 + t^4.632 + 3*t^4.911 + 2*t^4.954 + 2*t^5.233 + 5*t^5.274 + 2*t^5.315 + t^5.358 + t^5.554 + t^5.596 + 7*t^5.637 + t^5.678 + t^5.72 - 6*t^6. - 2*t^6.322 + 2*t^6.362 - t^6.363 - 2*t^6.404 + 4*t^6.683 + 3*t^6.725 - t^6.726 + t^6.766 + 6*t^7.005 + 5*t^7.046 + t^7.088 + 3*t^7.326 + 4*t^7.366 + 7*t^7.368 + t^7.409 + t^7.451 + t^7.492 + 3*t^7.688 + 7*t^7.729 - 3*t^7.731 + 3*t^7.771 + t^7.772 + t^7.812 + t^7.814 + 2*t^8.01 + 2*t^8.051 + 11*t^8.092 - 2*t^8.094 + 3*t^8.134 - 2*t^8.135 + 2*t^8.175 + t^8.177 + t^8.218 + t^8.331 + t^8.373 + 2*t^8.414 + 2*t^8.455 + t^8.497 - t^8.498 + 2*t^8.538 - t^8.54 + t^8.58 - 5*t^8.777 + 3*t^8.817 - 18*t^8.818 - 5*t^8.86 - t^4.409/y - (2*t^6.865)/y - t^7.186/y - t^7.228/y - t^7.269/y + t^7.549/y + t^7.591/y + t^7.632/y + t^7.911/y + (2*t^7.954)/y + (2*t^8.233)/y + (6*t^8.274)/y + (2*t^8.315)/y + (3*t^8.596)/y + (4*t^8.637)/y + (3*t^8.678)/y - t^4.409*y - 2*t^6.865*y - t^7.186*y - t^7.228*y - t^7.269*y + t^7.549*y + t^7.591*y + t^7.632*y + t^7.911*y + 2*t^7.954*y + 2*t^8.233*y + 6*t^8.274*y + 2*t^8.315*y + 3*t^8.596*y + 4*t^8.637*y + 3*t^8.678*y	(2*t^2.455)/(g1^6*g2^6) + (g2^8*t^2.777)/g1^4 + (3*t^2.818)/(g1^2*g2^2) + t^2.86/g2^12 + t^3.906/(g1^5*g2^17) + (2*t^4.228)/(g1^3*g2^3) + (3*g2^11*t^4.549)/g1 + (g1^3*t^4.632)/g2^9 + (3*t^4.911)/(g1^12*g2^12) + 2*g1^5*g2^5*t^4.954 + (2*g2^2*t^5.233)/g1^10 + (5*t^5.274)/(g1^8*g2^8) + (2*t^5.315)/(g1^6*g2^18) + (g1^11*t^5.358)/g2 + (g2^16*t^5.554)/g1^8 + (g2^6*t^5.596)/g1^6 + (7*t^5.637)/(g1^4*g2^4) + t^5.678/(g1^2*g2^14) + t^5.72/g2^24 - 6*t^6. - 2*g1^2*g2^14*t^6.322 + (2*t^6.362)/(g1^11*g2^23) - g1^4*g2^4*t^6.363 - (2*g1^6*t^6.404)/g2^6 + (4*t^6.683)/(g1^9*g2^9) + (3*t^6.725)/(g1^7*g2^19) - g1^8*g2^8*t^6.726 + t^6.766/(g1^5*g2^29) + (6*g2^5*t^7.005)/g1^7 + (5*t^7.046)/(g1^5*g2^5) + t^7.088/(g1^3*g2^15) + (3*g2^19*t^7.326)/g1^5 + (4*t^7.366)/(g1^18*g2^18) + (7*g2^9*t^7.368)/g1^3 + t^7.409/(g1*g2) + (g1*t^7.451)/g2^11 + (g1^3*t^7.492)/g2^21 + (3*t^7.688)/(g1^16*g2^4) + (7*t^7.729)/(g1^14*g2^14) - 3*g1*g2^13*t^7.731 + (3*t^7.771)/(g1^12*g2^24) + g1^3*g2^3*t^7.772 + t^7.812/(g1^10*g2^34) + (g1^5*t^7.814)/g2^7 + (2*g2^10*t^8.01)/g1^14 + (2*t^8.051)/g1^12 + (11*t^8.092)/(g1^10*g2^10) - 2*g1^5*g2^17*t^8.094 + (3*t^8.134)/(g1^8*g2^20) - 2*g1^7*g2^7*t^8.135 + (2*t^8.175)/(g1^6*g2^30) + (g1^9*t^8.177)/g2^3 + (g1^11*t^8.218)/g2^13 + (g2^24*t^8.331)/g1^12 + (g2^14*t^8.373)/g1^10 + (2*g2^4*t^8.414)/g1^8 + (2*t^8.455)/(g1^6*g2^6) + t^8.497/(g1^4*g2^16) - g1^11*g2^11*t^8.498 + (2*t^8.538)/(g1^2*g2^26) - g1^13*g2*t^8.54 + t^8.58/g2^36 - (5*g2^8*t^8.777)/g1^4 + (3*t^8.817)/(g1^17*g2^29) - (18*t^8.818)/(g1^2*g2^2) - (5*t^8.86)/g2^12 - t^4.409/(g1*g2*y) - (2*t^6.865)/(g1^7*g2^7*y) - (g2^7*t^7.186)/(g1^5*y) - t^7.228/(g1^3*g2^3*y) - t^7.269/(g1*g2^13*y) + (g2^11*t^7.549)/(g1*y) + (g1*g2*t^7.591)/y + (g1^3*t^7.632)/(g2^9*y) + t^7.911/(g1^12*g2^12*y) + (2*g1^5*g2^5*t^7.954)/y + (2*g2^2*t^8.233)/(g1^10*y) + (6*t^8.274)/(g1^8*g2^8*y) + (2*t^8.315)/(g1^6*g2^18*y) + (3*g2^6*t^8.596)/(g1^6*y) + (4*t^8.637)/(g1^4*g2^4*y) + (3*t^8.678)/(g1^2*g2^14*y) - (t^4.409*y)/(g1*g2) - (2*t^6.865*y)/(g1^7*g2^7) - (g2^7*t^7.186*y)/g1^5 - (t^7.228*y)/(g1^3*g2^3) - (t^7.269*y)/(g1*g2^13) + (g2^11*t^7.549*y)/g1 + g1*g2*t^7.591*y + (g1^3*t^7.632*y)/g2^9 + (t^7.911*y)/(g1^12*g2^12) + 2*g1^5*g2^5*t^7.954*y + (2*g2^2*t^8.233*y)/g1^10 + (6*t^8.274*y)/(g1^8*g2^8) + (2*t^8.315*y)/(g1^6*g2^18) + (3*g2^6*t^8.596*y)/g1^6 + (4*t^8.637*y)/(g1^4*g2^4) + (3*t^8.678*y)/(g1^2*g2^14)

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
58674	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$ + ${ }\phi_{1}q_{2}^{2}$	0.7117	0.8991	0.7915	[M:[0.8178, 1.0908, 1.0006, 0.7276, 1.0908, 0.9092, 0.7276, 0.9092], q:[0.4095, 0.7727], qb:[0.4997, 0.4997], phi:[0.4546]]	2*t^2.183 + t^2.453 + 3*t^2.728 + t^3.002 + t^3.821 + 2*t^4.091 + 3*t^4.362 + 3*t^4.366 + 2*t^4.636 + t^4.907 + 6*t^4.91 + 3*t^5.181 + 2*t^5.185 + 7*t^5.455 + t^5.729 - 5*t^6. - t^4.364/y - t^4.364*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

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

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
55199	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$	0.7184	0.8903	0.8069	[M:[0.9328, 1.0555, 0.9561, 0.8334, 1.0555, 0.9445, 0.8334], q:[0.4225, 0.6447], qb:[0.5219, 0.5219], phi:[0.4722]]	2*t^2.5 + t^2.798 + 2*t^2.833 + t^2.868 + t^3.167 + t^3.952 + 2*t^4.25 + 3*t^4.548 + t^4.618 + 2*t^4.917 + 3*t^5. + t^5.285 + 2*t^5.298 + 3*t^5.333 + 2*t^5.368 + t^5.597 + 6*t^5.667 + t^5.737 + t^5.965 - 4*t^6. - t^4.417/y - t^4.417*y	detail