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
1907	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6468	0.851	0.76	[M:[0.9767, 1.07, 0.9767, 0.7324, 0.7559, 0.7791], q:[0.7442, 0.2792], qb:[0.4768, 0.4533], phi:[0.5117]]	[M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [7, -5], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	${}$	-4	2*t^2.197 + 2*t^2.268 + t^2.337 + 2*t^2.93 + 2*t^3.21 + t^3.592 + t^4.255 + t^4.325 + 3*t^4.395 + t^4.396 + 4*t^4.465 + 2*t^4.534 + 3*t^4.536 + 2*t^4.605 + t^4.674 + 4*t^5.127 + 4*t^5.198 + 2*t^5.267 + 3*t^5.407 + 3*t^5.478 + 2*t^5.547 + 2*t^5.79 + 4*t^5.86 - 4*t^6. - t^6.07 + 2*t^6.14 + 3*t^6.42 + 2*t^6.452 + 4*t^6.522 + 5*t^6.592 + 2*t^6.593 + 5*t^6.662 + 2*t^6.663 + 3*t^6.732 + 5*t^6.733 + 4*t^6.802 + 4*t^6.803 + 2*t^6.872 + t^6.873 + t^6.942 + t^7.012 - t^7.013 + 2*t^7.185 + t^7.255 + 5*t^7.325 + t^7.326 + 5*t^7.395 + 4*t^7.464 + 5*t^7.466 + 2*t^7.535 + 6*t^7.604 + 4*t^7.675 + 3*t^7.744 + 4*t^7.745 + 3*t^7.815 + t^7.847 + 2*t^7.884 + 3*t^7.987 + 5*t^8.057 + 4*t^8.128 - 6*t^8.197 - 10*t^8.268 - 2*t^8.337 - 2*t^8.338 + t^8.408 + 2*t^8.477 + t^8.509 + t^8.58 + 4*t^8.617 + 3*t^8.649 + t^8.65 + 4*t^8.688 + 7*t^8.72 + t^8.721 + 3*t^8.757 + 7*t^8.789 + 8*t^8.79 + t^8.791 + 6*t^8.86 + 3*t^8.861 + 5*t^8.929 - 4*t^8.93 + 3*t^8.931 + 5*t^8.999 - t^4.535/y - t^6.732/y - t^6.803/y - t^6.872/y + t^7.325/y + t^7.395/y + (3*t^7.465)/y + (2*t^7.534)/y + t^7.536/y + (3*t^7.605)/y - t^7.745/y + (4*t^8.127)/y + (5*t^8.198)/y + (3*t^8.267)/y + t^8.338/y + (4*t^8.407)/y + (4*t^8.478)/y + (2*t^8.547)/y + (2*t^8.79)/y + (3*t^8.86)/y - t^4.535*y - t^6.732*y - t^6.803*y - t^6.872*y + t^7.325*y + t^7.395*y + 3*t^7.465*y + 2*t^7.534*y + t^7.536*y + 3*t^7.605*y - t^7.745*y + 4*t^8.127*y + 5*t^8.198*y + 3*t^8.267*y + t^8.338*y + 4*t^8.407*y + 4*t^8.478*y + 2*t^8.547*y + 2*t^8.79*y + 3*t^8.86*y	(2*g2^7*t^2.197)/g1^5 + (2*g1^7*t^2.268)/g2^5 + t^2.337/(g1^13*g2) + 2*g1^4*g2^4*t^2.93 + (2*t^3.21)/(g1^12*g2^12) + g1*g2^13*t^3.592 + (g2^22*t^4.255)/g1^2 + g1^10*g2^10*t^4.325 + (3*g2^14*t^4.395)/g1^10 + (g1^22*t^4.396)/g2^2 + 4*g1^2*g2^2*t^4.465 + (2*g2^6*t^4.534)/g1^18 + (3*g1^14*t^4.536)/g2^10 + (2*t^4.605)/(g1^6*g2^6) + t^4.674/(g1^26*g2^2) + (4*g2^11*t^5.127)/g1 + (4*g1^11*t^5.198)/g2 + (2*g2^3*t^5.267)/g1^9 + (3*t^5.407)/(g1^17*g2^5) + (3*t^5.478)/(g1^5*g2^17) + (2*t^5.547)/(g1^25*g2^13) + (2*g2^20*t^5.79)/g1^4 + 4*g1^8*g2^8*t^5.86 - 4*t^6. - (g1^12*t^6.07)/g2^12 + (2*t^6.14)/(g1^8*g2^8) + (3*t^6.42)/(g1^24*g2^24) + (2*g2^29*t^6.452)/g1^7 + 4*g1^5*g2^17*t^6.522 + (5*g2^21*t^6.592)/g1^15 + 2*g1^17*g2^5*t^6.593 + (5*g2^9*t^6.662)/g1^3 + (2*g1^29*t^6.663)/g2^7 + (3*g2^13*t^6.732)/g1^23 + (5*g1^9*t^6.733)/g2^3 + (4*g2*t^6.802)/g1^11 + (4*g1^21*t^6.803)/g2^15 + (2*g2^5*t^6.872)/g1^31 + (g1*t^6.873)/g2^11 + t^6.942/(g1^19*g2^7) + t^7.012/(g1^39*g2^3) - t^7.013/(g1^7*g2^19) + 2*g1^2*g2^26*t^7.185 + g1^14*g2^14*t^7.255 + (5*g2^18*t^7.325)/g1^6 + g1^26*g2^2*t^7.326 + 5*g1^6*g2^6*t^7.395 + (4*g2^10*t^7.464)/g1^14 + (5*g1^18*t^7.466)/g2^6 + (2*t^7.535)/(g1^2*g2^2) + (6*g2^2*t^7.604)/g1^22 + (4*t^7.675)/(g1^10*g2^10) + (3*t^7.744)/(g1^30*g2^6) + (4*g1^2*t^7.745)/g2^22 + (3*t^7.815)/(g1^18*g2^18) + (g2^35*t^7.847)/g1 + (2*t^7.884)/(g1^38*g2^14) + (3*g2^27*t^7.987)/g1^9 + 5*g1^3*g2^15*t^8.057 + 4*g1^15*g2^3*t^8.128 - (6*g2^7*t^8.197)/g1^5 - (10*g1^7*t^8.268)/g2^5 - (2*t^8.337)/(g1^13*g2) - (2*g1^19*t^8.338)/g2^17 + t^8.408/(g1*g2^13) + (2*t^8.477)/(g1^21*g2^9) + (g2^44*t^8.509)/g1^4 + g1^8*g2^32*t^8.58 + (4*t^8.617)/(g1^29*g2^17) + (3*g2^36*t^8.649)/g1^12 + g1^20*g2^20*t^8.65 + (4*t^8.688)/(g1^17*g2^29) + 7*g2^24*t^8.72 + g1^32*g2^8*t^8.721 + (3*t^8.757)/(g1^37*g2^25) + (7*g2^28*t^8.789)/g1^20 + 8*g1^12*g2^12*t^8.79 + (g1^44*t^8.791)/g2^4 + (6*g2^16*t^8.86)/g1^8 + 3*g1^24*t^8.861 + (5*g2^20*t^8.929)/g1^28 - 4*g1^4*g2^4*t^8.93 + (3*g1^36*t^8.931)/g2^12 + (5*g2^8*t^8.999)/g1^16 - t^4.535/(g1^2*g2^2*y) - (g2^5*t^6.732)/(g1^7*y) - (g1^5*t^6.803)/(g2^7*y) - t^6.872/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.325)/y + (g2^14*t^7.395)/(g1^10*y) + (3*g1^2*g2^2*t^7.465)/y + (2*g2^6*t^7.534)/(g1^18*y) + (g1^14*t^7.536)/(g2^10*y) + (3*t^7.605)/(g1^6*g2^6*y) - t^7.745/(g1^14*g2^14*y) + (4*g2^11*t^8.127)/(g1*y) + (5*g1^11*t^8.198)/(g2*y) + (3*g2^3*t^8.267)/(g1^9*y) + (g1^3*t^8.338)/(g2^9*y) + (4*t^8.407)/(g1^17*g2^5*y) + (4*t^8.478)/(g1^5*g2^17*y) + (2*t^8.547)/(g1^25*g2^13*y) + (2*g2^20*t^8.79)/(g1^4*y) + (3*g1^8*g2^8*t^8.86)/y - (t^4.535*y)/(g1^2*g2^2) - (g2^5*t^6.732*y)/g1^7 - (g1^5*t^6.803*y)/g2^7 - (t^6.872*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.325*y + (g2^14*t^7.395*y)/g1^10 + 3*g1^2*g2^2*t^7.465*y + (2*g2^6*t^7.534*y)/g1^18 + (g1^14*t^7.536*y)/g2^10 + (3*t^7.605*y)/(g1^6*g2^6) - (t^7.745*y)/(g1^14*g2^14) + (4*g2^11*t^8.127*y)/g1 + (5*g1^11*t^8.198*y)/g2 + (3*g2^3*t^8.267*y)/g1^9 + (g1^3*t^8.338*y)/g2^9 + (4*t^8.407*y)/(g1^17*g2^5) + (4*t^8.478*y)/(g1^5*g2^17) + (2*t^8.547*y)/(g1^25*g2^13) + (2*g2^20*t^8.79*y)/g1^4 + 3*g1^8*g2^8*t^8.86*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
2938	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6639	0.8812	0.7534	[M:[0.9843, 1.0472, 0.9843, 0.7461, 0.7461, 0.7775, 0.7775], q:[0.7461, 0.2697], qb:[0.4764, 0.4764], phi:[0.5079]]	4*t^2.238 + 2*t^2.333 + 2*t^2.953 + 2*t^3.142 + 3*t^4.382 + 10*t^4.476 + 8*t^4.571 + 3*t^4.665 + 8*t^5.191 + 4*t^5.285 + 6*t^5.38 + 4*t^5.474 + 2*t^5.906 - 6*t^6. - t^4.524/y - t^4.524*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
548	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6298	0.8212	0.7669	[M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]]	4*t^2.226 + 2*t^2.906 + 2*t^3.282 + 2*t^3.585 + 3*t^4.265 + 10*t^4.453 + 8*t^5.132 + 6*t^5.509 + 10*t^5.812 - 6*t^6. - t^4.547/y - t^4.547*y	detail