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
46311	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.6359	0.8312	0.765	[M:[0.6721, 0.6721, 1.0, 0.8754], q:[0.7656, 0.5623], qb:[0.5623, 0.2344], phi:[0.4689]]	[M:[[1, 9], [-1, 1], [0, 0], [0, 8]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-5	2*t^2.016 + 2*t^2.39 + t^2.626 + 2*t^2.813 + t^3. + 2*t^3.797 + 3*t^4.033 + 4*t^4.407 + 2*t^4.643 + 6*t^4.78 + 4*t^4.829 + 2*t^5.016 + 4*t^5.203 + t^5.252 + 2*t^5.39 + 2*t^5.439 + 4*t^5.626 + 5*t^5.813 - 5*t^6. + 4*t^6.049 + 3*t^6.187 - t^6.374 + 6*t^6.423 + 2*t^6.61 + 3*t^6.659 + 10*t^6.797 + 6*t^6.846 - 4*t^6.984 + 3*t^7.033 + 8*t^7.171 + 8*t^7.22 + 2*t^7.269 + 2*t^7.407 + 4*t^7.456 + 10*t^7.593 + 8*t^7.643 + 2*t^7.78 + 8*t^7.829 + t^7.879 - 3*t^7.967 - 4*t^8.016 + 7*t^8.066 + 8*t^8.203 + 4*t^8.252 - 14*t^8.39 + 13*t^8.439 + 6*t^8.577 + 3*t^8.626 + 4*t^8.675 - 4*t^8.764 + 2*t^8.813 + 8*t^8.862 - t^4.407/y - (2*t^6.423)/y - t^7.22/y + (4*t^7.407)/y + t^7.593/y + (2*t^7.643)/y + (2*t^7.78)/y + (4*t^7.829)/y + (4*t^8.016)/y + (4*t^8.203)/y + (4*t^8.39)/y - t^8.439/y + (2*t^8.626)/y + (6*t^8.813)/y - t^4.407*y - 2*t^6.423*y - t^7.22*y + 4*t^7.407*y + t^7.593*y + 2*t^7.643*y + 2*t^7.78*y + 4*t^7.829*y + 4*t^8.016*y + 4*t^8.203*y + 4*t^8.39*y - t^8.439*y + 2*t^8.626*y + 6*t^8.813*y	(g2*t^2.016)/g1 + g1*g2^9*t^2.016 + t^2.39/(g1*g2^7) + g1*g2*t^2.39 + g2^8*t^2.626 + 2*g2^4*t^2.813 + t^3. + t^3.797/(g1*g2^5) + g1*g2^3*t^3.797 + (g2^2*t^4.033)/g1^2 + g2^10*t^4.033 + g1^2*g2^18*t^4.033 + t^4.407/(g1^2*g2^6) + 2*g2^2*t^4.407 + g1^2*g2^10*t^4.407 + (g2^9*t^4.643)/g1 + g1*g2^17*t^4.643 + (2*t^4.78)/(g1^2*g2^14) + (2*t^4.78)/g2^6 + 2*g1^2*g2^2*t^4.78 + (2*g2^5*t^4.829)/g1 + 2*g1*g2^13*t^4.829 + (g2*t^5.016)/g1 + g1*g2^9*t^5.016 + (2*t^5.203)/(g1*g2^3) + 2*g1*g2^5*t^5.203 + g2^16*t^5.252 + t^5.39/(g1*g2^7) + g1*g2*t^5.39 + 2*g2^12*t^5.439 + 4*g2^8*t^5.626 + t^5.813/(g1^2*g2^4) + 3*g2^4*t^5.813 + g1^2*g2^12*t^5.813 - 3*t^6. - t^6./(g1^2*g2^8) - g1^2*g2^8*t^6. + (g2^3*t^6.049)/g1^3 + (g2^11*t^6.049)/g1 + g1*g2^19*t^6.049 + g1^3*g2^27*t^6.049 + t^6.187/(g1^2*g2^12) + t^6.187/g2^4 + g1^2*g2^4*t^6.187 - t^6.374/g2^8 + t^6.423/(g1^3*g2^5) + (2*g2^3*t^6.423)/g1 + 2*g1*g2^11*t^6.423 + g1^3*g2^19*t^6.423 + t^6.61/(g1*g2) + g1*g2^7*t^6.61 + (g2^10*t^6.659)/g1^2 + g2^18*t^6.659 + g1^2*g2^26*t^6.659 + (2*t^6.797)/(g1^3*g2^13) + (3*t^6.797)/(g1*g2^5) + 3*g1*g2^3*t^6.797 + 2*g1^3*g2^11*t^6.797 + (2*g2^6*t^6.846)/g1^2 + 2*g2^14*t^6.846 + 2*g1^2*g2^22*t^6.846 - (2*t^6.984)/(g1*g2^9) - (2*g1*t^6.984)/g2 + (g2^2*t^7.033)/g1^2 + g2^10*t^7.033 + g1^2*g2^18*t^7.033 + (2*t^7.171)/(g1^3*g2^21) + (2*t^7.171)/(g1*g2^13) + (2*g1*t^7.171)/g2^5 + 2*g1^3*g2^3*t^7.171 + (2*t^7.22)/(g1^2*g2^2) + 4*g2^6*t^7.22 + 2*g1^2*g2^14*t^7.22 + (g2^17*t^7.269)/g1 + g1*g2^25*t^7.269 + t^7.407/(g1^2*g2^6) + g1^2*g2^10*t^7.407 + (2*g2^13*t^7.456)/g1 + 2*g1*g2^21*t^7.456 + (4*t^7.593)/(g1^2*g2^10) + (2*t^7.593)/g2^2 + 4*g1^2*g2^6*t^7.593 + (4*g2^9*t^7.643)/g1 + 4*g1*g2^17*t^7.643 + t^7.78/(g1^2*g2^14) + g1^2*g2^2*t^7.78 + t^7.829/(g1^3*g2^3) + (3*g2^5*t^7.829)/g1 + 3*g1*g2^13*t^7.829 + g1^3*g2^21*t^7.829 + g2^24*t^7.879 - t^7.967/(g1^2*g2^18) - t^7.967/g2^10 - (g1^2*t^7.967)/g2^2 - t^8.016/(g1^3*g2^7) - (g2*t^8.016)/g1 - g1*g2^9*t^8.016 - g1^3*g2^17*t^8.016 + (g2^4*t^8.066)/g1^4 + (g2^12*t^8.066)/g1^2 + 3*g2^20*t^8.066 + g1^2*g2^28*t^8.066 + g1^4*g2^36*t^8.066 + t^8.203/(g1^3*g2^11) + (3*t^8.203)/(g1*g2^3) + 3*g1*g2^5*t^8.203 + g1^3*g2^13*t^8.203 + 4*g2^16*t^8.252 - t^8.39/(g1^3*g2^15) - (6*t^8.39)/(g1*g2^7) - 6*g1*g2*t^8.39 - g1^3*g2^9*t^8.39 + t^8.439/(g1^4*g2^4) + (2*g2^4*t^8.439)/g1^2 + 7*g2^12*t^8.439 + 2*g1^2*g2^20*t^8.439 + g1^4*g2^28*t^8.439 + (2*t^8.577)/(g1^3*g2^19) + t^8.577/(g1*g2^11) + (g1*t^8.577)/g2^3 + 2*g1^3*g2^5*t^8.577 + t^8.626/g1^2 + g2^8*t^8.626 + g1^2*g2^16*t^8.626 + (g2^11*t^8.675)/g1^3 + (g2^19*t^8.675)/g1 + g1*g2^27*t^8.675 + g1^3*g2^35*t^8.675 - (2*t^8.764)/(g1*g2^15) - (2*g1*t^8.764)/g2^7 + (2*t^8.813)/(g1^4*g2^12) + t^8.813/(g1^2*g2^4) - 4*g2^4*t^8.813 + g1^2*g2^12*t^8.813 + 2*g1^4*g2^20*t^8.813 + (2*g2^7*t^8.862)/g1^3 + (2*g2^15*t^8.862)/g1 + 2*g1*g2^23*t^8.862 + 2*g1^3*g2^31*t^8.862 - (g2^2*t^4.407)/y - (g2^3*t^6.423)/(g1*y) - (g1*g2^11*t^6.423)/y - (g2^6*t^7.22)/y + t^7.407/(g1^2*g2^6*y) + (2*g2^2*t^7.407)/y + (g1^2*g2^10*t^7.407)/y + t^7.593/(g2^2*y) + (g2^9*t^7.643)/(g1*y) + (g1*g2^17*t^7.643)/y + (2*t^7.78)/(g2^6*y) + (2*g2^5*t^7.829)/(g1*y) + (2*g1*g2^13*t^7.829)/y + (2*g2*t^8.016)/(g1*y) + (2*g1*g2^9*t^8.016)/y + (2*t^8.203)/(g1*g2^3*y) + (2*g1*g2^5*t^8.203)/y + (2*t^8.39)/(g1*g2^7*y) + (2*g1*g2*t^8.39)/y - (g2^4*t^8.439)/(g1^2*y) + (g2^12*t^8.439)/y - (g1^2*g2^20*t^8.439)/y + (2*g2^8*t^8.626)/y + t^8.813/(g1^2*g2^4*y) + (4*g2^4*t^8.813)/y + (g1^2*g2^12*t^8.813)/y - g2^2*t^4.407*y - (g2^3*t^6.423*y)/g1 - g1*g2^11*t^6.423*y - g2^6*t^7.22*y + (t^7.407*y)/(g1^2*g2^6) + 2*g2^2*t^7.407*y + g1^2*g2^10*t^7.407*y + (t^7.593*y)/g2^2 + (g2^9*t^7.643*y)/g1 + g1*g2^17*t^7.643*y + (2*t^7.78*y)/g2^6 + (2*g2^5*t^7.829*y)/g1 + 2*g1*g2^13*t^7.829*y + (2*g2*t^8.016*y)/g1 + 2*g1*g2^9*t^8.016*y + (2*t^8.203*y)/(g1*g2^3) + 2*g1*g2^5*t^8.203*y + (2*t^8.39*y)/(g1*g2^7) + 2*g1*g2*t^8.39*y - (g2^4*t^8.439*y)/g1^2 + g2^12*t^8.439*y - g1^2*g2^20*t^8.439*y + 2*g2^8*t^8.626*y + (t^8.813*y)/(g1^2*g2^4) + 4*g2^4*t^8.813*y + g1^2*g2^12*t^8.813*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
46508	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6308	0.8213	0.7681	[M:[0.6903, 0.6903, 1.0, 0.9045, 1.0477], q:[0.7619, 0.5477], qb:[0.5477, 0.2381], phi:[0.4761]]	2*t^2.071 + 2*t^2.357 + t^2.714 + t^2.857 + t^3. + t^3.143 + 2*t^3.786 + 3*t^4.142 + 4*t^4.428 + 6*t^4.715 + 2*t^4.785 + 2*t^4.928 + 2*t^5.071 + 4*t^5.214 + 2*t^5.357 + t^5.427 + 2*t^5.501 + t^5.57 + 2*t^5.714 + 5*t^5.857 - 4*t^6. - t^4.428/y - t^4.428*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
46026	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$	0.6271	0.8146	0.7698	[M:[0.7084, 0.7084, 1.0], q:[0.7583, 0.5333], qb:[0.5333, 0.2417], phi:[0.4834]]	2*t^2.125 + 2*t^2.325 + 2*t^2.9 + t^3. + t^3.2 + 2*t^3.775 + 3*t^4.25 + 4*t^4.45 + 6*t^4.65 + 4*t^5.025 + 4*t^5.225 + 4*t^5.325 + 2*t^5.525 + 3*t^5.8 + 5*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*y	detail