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
46127	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{4}$	0.606	0.7574	0.8002	[M:[0.7718, 0.736, 0.9821, 1.0179], q:[0.8944, 0.7198], qb:[0.5442, 0.2981], phi:[0.3859]]	[M:[[-2, -2], [-4, 8], [-1, 5], [1, -5]], q:[[0, 9], [1, -8]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.208 + 2*t^2.315 + t^2.527 + t^2.946 + t^3.054 + t^3.577 + t^4.316 + t^4.416 + t^4.423 + 2*t^4.523 + 3*t^4.631 + t^4.735 + 3*t^4.842 + t^5.054 + t^5.154 + 2*t^5.262 + t^5.369 + t^5.473 + t^5.581 + t^5.785 + 2*t^5.893 - 2*t^6. + t^6.105 - t^6.419 + 2*t^6.524 - t^6.527 + t^6.624 + 2*t^6.631 + 2*t^6.731 + 3*t^6.838 + t^6.843 + t^6.943 + 4*t^6.946 + t^6.95 + 2*t^7.05 + t^7.155 + 3*t^7.158 + t^7.262 - t^7.265 + t^7.362 + 2*t^7.369 + 2*t^7.47 + 2*t^7.577 + t^7.581 + t^7.681 + t^7.684 + t^7.789 + t^7.893 + t^7.993 + t^8.001 + 2*t^8.101 + t^8.312 - 5*t^8.315 + 2*t^8.42 - t^8.423 - 4*t^8.527 - t^8.627 + 2*t^8.632 - t^8.634 + 2*t^8.732 - 2*t^8.735 + t^8.739 + t^8.832 + 3*t^8.839 - t^8.842 + t^8.846 + 2*t^8.939 - 2*t^8.946 - t^4.158/y - t^6.366/y - (2*t^6.473)/y + (2*t^7.523)/y + t^7.631/y + t^7.735/y + (4*t^7.842)/y + t^7.95/y + t^8.154/y + (3*t^8.262)/y + (2*t^8.369)/y + t^8.473/y - t^8.574/y + t^8.581/y - (2*t^8.681)/y + t^8.785/y - (3*t^8.788)/y + (2*t^8.893)/y - t^4.158*y - t^6.366*y - 2*t^6.473*y + 2*t^7.523*y + t^7.631*y + t^7.735*y + 4*t^7.842*y + t^7.95*y + t^8.154*y + 3*t^8.262*y + 2*t^8.369*y + t^8.473*y - t^8.574*y + t^8.581*y - 2*t^8.681*y + t^8.785*y - 3*t^8.788*y + 2*t^8.893*y	(g2^8*t^2.208)/g1^4 + (2*t^2.315)/(g1^2*g2^2) + g1^3*g2^3*t^2.527 + (g2^5*t^2.946)/g1 + (g1*t^3.054)/g2^5 + g2^12*t^3.577 + g1^3*g2^9*t^4.316 + (g2^16*t^4.416)/g1^8 + (g1^5*t^4.423)/g2 + (2*g2^6*t^4.523)/g1^6 + (3*t^4.631)/(g1^4*g2^4) + (g2^11*t^4.735)/g1 + 3*g1*g2*t^4.842 + g1^6*g2^6*t^5.054 + (g2^13*t^5.154)/g1^5 + (2*g2^3*t^5.262)/g1^3 + t^5.369/(g1*g2^7) + g1^2*g2^8*t^5.473 + (g1^4*t^5.581)/g2^2 + (g2^20*t^5.785)/g1^4 + (2*g2^10*t^5.893)/g1^2 - 2*t^6. + g1^3*g2^15*t^6.105 - (g2^2*t^6.419)/g1^4 + (2*g2^17*t^6.524)/g1 - t^6.527/(g1^2*g2^8) + (g2^24*t^6.624)/g1^12 + 2*g1*g2^7*t^6.631 + (2*g2^14*t^6.731)/g1^10 + (3*g2^4*t^6.838)/g1^8 + g1^6*g2^12*t^6.843 + (g2^19*t^6.943)/g1^5 + (4*t^6.946)/(g1^6*g2^6) + g1^8*g2^2*t^6.95 + (2*g2^9*t^7.05)/g1^3 + g2^24*t^7.155 + (3*t^7.158)/(g1*g2) + g1^2*g2^14*t^7.262 - (g1*t^7.265)/g2^11 + (g2^21*t^7.362)/g1^9 + 2*g1^4*g2^4*t^7.369 + (2*g2^11*t^7.47)/g1^7 + (2*g2*t^7.577)/g1^5 + g1^9*g2^9*t^7.581 + (g2^16*t^7.681)/g1^2 + t^7.684/(g1^3*g2^9) + g2^6*t^7.789 + g1^3*g2^21*t^7.893 + (g2^28*t^7.993)/g1^8 + g1^5*g2^11*t^8.001 + (2*g2^18*t^8.101)/g1^6 + (g2^23*t^8.312)/g1 - (5*t^8.315)/(g1^2*g2^2) + 2*g1*g2^13*t^8.42 - t^8.423/g2^12 - 4*g1^3*g2^3*t^8.527 - (g2^10*t^8.627)/g1^8 + 2*g1^6*g2^18*t^8.632 - (g1^5*t^8.634)/g2^7 + (2*g2^25*t^8.732)/g1^5 - (2*t^8.735)/g1^6 + g1^8*g2^8*t^8.739 + (g2^32*t^8.832)/g1^16 + (3*g2^15*t^8.839)/g1^3 - t^8.842/(g1^4*g2^10) + (g1^10*t^8.846)/g2^2 + (2*g2^22*t^8.939)/g1^14 - (2*g2^5*t^8.946)/g1 - t^4.158/(g1*g2*y) - (g2^7*t^6.366)/(g1^5*y) - (2*t^6.473)/(g1^3*g2^3*y) + (2*g2^6*t^7.523)/(g1^6*y) + t^7.631/(g1^4*g2^4*y) + (g2^11*t^7.735)/(g1*y) + (4*g1*g2*t^7.842)/y + (g1^3*t^7.95)/(g2^9*y) + (g2^13*t^8.154)/(g1^5*y) + (3*g2^3*t^8.262)/(g1^3*y) + (2*t^8.369)/(g1*g2^7*y) + (g1^2*g2^8*t^8.473)/y - (g2^15*t^8.574)/(g1^9*y) + (g1^4*t^8.581)/(g2^2*y) - (2*g2^5*t^8.681)/(g1^7*y) + (g2^20*t^8.785)/(g1^4*y) - (3*t^8.788)/(g1^5*g2^5*y) + (2*g2^10*t^8.893)/(g1^2*y) - (t^4.158*y)/(g1*g2) - (g2^7*t^6.366*y)/g1^5 - (2*t^6.473*y)/(g1^3*g2^3) + (2*g2^6*t^7.523*y)/g1^6 + (t^7.631*y)/(g1^4*g2^4) + (g2^11*t^7.735*y)/g1 + 4*g1*g2*t^7.842*y + (g1^3*t^7.95*y)/g2^9 + (g2^13*t^8.154*y)/g1^5 + (3*g2^3*t^8.262*y)/g1^3 + (2*t^8.369*y)/(g1*g2^7) + g1^2*g2^8*t^8.473*y - (g2^15*t^8.574*y)/g1^9 + (g1^4*t^8.581*y)/g2^2 - (2*g2^5*t^8.681*y)/g1^7 + (g2^20*t^8.785*y)/g1^4 - (3*t^8.788*y)/(g1^5*g2^5) + (2*g2^10*t^8.893*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
46351	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6236	0.7874	0.792	[M:[0.7583, 0.7583, 1.0, 1.0, 0.7583], q:[0.9313, 0.6896], qb:[0.5522, 0.3104], phi:[0.3791]]	4*t^2.275 + t^2.588 + 2*t^3. + 2*t^4.45 + 10*t^4.55 + 5*t^4.863 + t^5.176 + 6*t^5.275 + 2*t^5.588 - 2*t^6. - t^4.137/y - t^4.137*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
45963	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	0.6898	0.8768	0.7867	[M:[0.6991, 0.6887, 0.6783, 0.6887], q:[0.8096, 0.8408], qb:[0.4704, 0.4809], phi:[0.3496]]	t^2.035 + 2*t^2.066 + 2*t^2.097 + t^2.854 + t^3.84 + 2*t^3.871 + t^4.07 + 2*t^4.101 + 5*t^4.132 + 4*t^4.164 + 3*t^4.195 + t^4.889 + 2*t^4.92 + 3*t^4.951 + t^5.708 + t^5.875 + 4*t^5.906 + 5*t^5.938 + 2*t^5.969 - 3*t^6. - t^4.049/y - t^4.049*y	detail