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
1721	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.6895	0.8748	0.7882	[M:[0.692, 0.7027, 0.6884, 0.692], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]]	[M:[[-7, -1], [2, -10], [-10, 2], [-7, -1]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.065 + 2*t^2.076 + t^2.087 + t^2.108 + t^2.87 + 2*t^3.903 + t^3.913 + t^4.13 + 2*t^4.141 + 4*t^4.152 + 2*t^4.163 + 2*t^4.173 + 2*t^4.184 + t^4.195 + t^4.216 + t^4.935 + 2*t^4.946 + 2*t^4.957 + t^4.978 + t^5.74 + 2*t^5.968 + 4*t^5.978 + 2*t^5.989 - 2*t^6. + t^6.195 + 2*t^6.206 + 4*t^6.217 + 6*t^6.228 + 5*t^6.238 + 4*t^6.249 + 5*t^6.26 + 2*t^6.271 + 2*t^6.282 + 2*t^6.292 + t^6.303 + t^6.325 + 2*t^6.773 + t^6.783 + t^7. + 2*t^7.011 + 4*t^7.022 + 2*t^7.033 + t^7.043 + t^7.065 + t^7.086 + 3*t^7.805 + 2*t^7.816 - 2*t^7.837 + 2*t^8.033 + 4*t^8.044 + 6*t^8.054 - 4*t^8.076 - 2*t^8.087 - 2*t^8.097 - 3*t^8.108 + t^8.261 + 2*t^8.271 + 4*t^8.282 + 6*t^8.293 + 10*t^8.304 + 8*t^8.314 + 8*t^8.325 + 8*t^8.336 + 6*t^8.347 + 4*t^8.357 + 5*t^8.368 + 2*t^8.379 + 2*t^8.39 + 2*t^8.4 + t^8.411 + t^8.433 + t^8.61 + 2*t^8.838 + 3*t^8.848 + 2*t^8.859 - 3*t^8.87 - 2*t^8.881 - t^8.892 - t^4.043/y - t^6.108/y - (2*t^6.119)/y - t^6.13/y - t^6.152/y + (2*t^7.141)/y + (2*t^7.152)/y + (2*t^7.163)/y + t^7.173/y + (2*t^7.184)/y + t^7.195/y + (2*t^7.935)/y + (2*t^7.946)/y + (2*t^7.957)/y + (2*t^7.967)/y + (2*t^7.978)/y - t^8.174/y - (2*t^8.184)/y - (4*t^8.195)/y - (2*t^8.206)/y - (2*t^8.217)/y - (2*t^8.227)/y - t^8.238/y - t^8.26/y + (2*t^8.968)/y + (5*t^8.978)/y + (4*t^8.989)/y - t^4.043*y - t^6.108*y - 2*t^6.119*y - t^6.13*y - t^6.152*y + 2*t^7.141*y + 2*t^7.152*y + 2*t^7.163*y + t^7.173*y + 2*t^7.184*y + t^7.195*y + 2*t^7.935*y + 2*t^7.946*y + 2*t^7.957*y + 2*t^7.967*y + 2*t^7.978*y - t^8.174*y - 2*t^8.184*y - 4*t^8.195*y - 2*t^8.206*y - 2*t^8.217*y - 2*t^8.227*y - t^8.238*y - t^8.26*y + 2*t^8.968*y + 5*t^8.978*y + 4*t^8.989*y	(g2^2*t^2.065)/g1^10 + (2*t^2.076)/(g1^7*g2) + t^2.087/(g1^4*g2^4) + (g1^2*t^2.108)/g2^10 + g1^6*g2^6*t^2.87 + 2*g1*g2^7*t^3.903 + g1^4*g2^4*t^3.913 + (g2^4*t^4.13)/g1^20 + (2*g2*t^4.141)/g1^17 + (4*t^4.152)/(g1^14*g2^2) + (2*t^4.163)/(g1^11*g2^5) + (2*t^4.173)/(g1^8*g2^8) + (2*t^4.184)/(g1^5*g2^11) + t^4.195/(g1^2*g2^14) + (g1^4*t^4.216)/g2^20 + (g2^8*t^4.935)/g1^4 + (2*g2^5*t^4.946)/g1 + 2*g1^2*g2^2*t^4.957 + (g1^8*t^4.978)/g2^4 + g1^12*g2^12*t^5.74 + (2*g2^9*t^5.968)/g1^9 + (4*g2^6*t^5.978)/g1^6 + (2*g2^3*t^5.989)/g1^3 - 2*t^6. + (g2^6*t^6.195)/g1^30 + (2*g2^3*t^6.206)/g1^27 + (4*t^6.217)/g1^24 + (6*t^6.228)/(g1^21*g2^3) + (5*t^6.238)/(g1^18*g2^6) + (4*t^6.249)/(g1^15*g2^9) + (5*t^6.26)/(g1^12*g2^12) + (2*t^6.271)/(g1^9*g2^15) + (2*t^6.282)/(g1^6*g2^18) + (2*t^6.292)/(g1^3*g2^21) + t^6.303/g2^24 + (g1^6*t^6.325)/g2^30 + 2*g1^7*g2^13*t^6.773 + g1^10*g2^10*t^6.783 + (g2^10*t^7.)/g1^14 + (2*g2^7*t^7.011)/g1^11 + (4*g2^4*t^7.022)/g1^8 + (2*g2*t^7.033)/g1^5 + t^7.043/(g1^2*g2^2) + (g1^4*t^7.065)/g2^8 + (g1^10*t^7.086)/g2^14 + 3*g1^2*g2^14*t^7.805 + 2*g1^5*g2^11*t^7.816 - 2*g1^11*g2^5*t^7.837 + (2*g2^11*t^8.033)/g1^19 + (4*g2^8*t^8.044)/g1^16 + (6*g2^5*t^8.054)/g1^13 - (4*t^8.076)/(g1^7*g2) - (2*t^8.087)/(g1^4*g2^4) - (2*t^8.097)/(g1*g2^7) - (3*g1^2*t^8.108)/g2^10 + (g2^8*t^8.261)/g1^40 + (2*g2^5*t^8.271)/g1^37 + (4*g2^2*t^8.282)/g1^34 + (6*t^8.293)/(g1^31*g2) + (10*t^8.304)/(g1^28*g2^4) + (8*t^8.314)/(g1^25*g2^7) + (8*t^8.325)/(g1^22*g2^10) + (8*t^8.336)/(g1^19*g2^13) + (6*t^8.347)/(g1^16*g2^16) + (4*t^8.357)/(g1^13*g2^19) + (5*t^8.368)/(g1^10*g2^22) + (2*t^8.379)/(g1^7*g2^25) + (2*t^8.39)/(g1^4*g2^28) + (2*t^8.4)/(g1*g2^31) + (g1^2*t^8.411)/g2^34 + (g1^8*t^8.433)/g2^40 + g1^18*g2^18*t^8.61 + (2*g2^15*t^8.838)/g1^3 + 3*g2^12*t^8.848 + 2*g1^3*g2^9*t^8.859 - 3*g1^6*g2^6*t^8.87 - 2*g1^9*g2^3*t^8.881 - g1^12*t^8.892 - t^4.043/(g1^2*g2^2*y) - t^6.108/(g1^12*y) - (2*t^6.119)/(g1^9*g2^3*y) - t^6.13/(g1^6*g2^6*y) - t^6.152/(g2^12*y) + (2*g2*t^7.141)/(g1^17*y) + (2*t^7.152)/(g1^14*g2^2*y) + (2*t^7.163)/(g1^11*g2^5*y) + t^7.173/(g1^8*g2^8*y) + (2*t^7.184)/(g1^5*g2^11*y) + t^7.195/(g1^2*g2^14*y) + (2*g2^8*t^7.935)/(g1^4*y) + (2*g2^5*t^7.946)/(g1*y) + (2*g1^2*g2^2*t^7.957)/y + (2*g1^5*t^7.967)/(g2*y) + (2*g1^8*t^7.978)/(g2^4*y) - (g2^2*t^8.174)/(g1^22*y) - (2*t^8.184)/(g1^19*g2*y) - (4*t^8.195)/(g1^16*g2^4*y) - (2*t^8.206)/(g1^13*g2^7*y) - (2*t^8.217)/(g1^10*g2^10*y) - (2*t^8.227)/(g1^7*g2^13*y) - t^8.238/(g1^4*g2^16*y) - (g1^2*t^8.26)/(g2^22*y) + (2*g2^9*t^8.968)/(g1^9*y) + (5*g2^6*t^8.978)/(g1^6*y) + (4*g2^3*t^8.989)/(g1^3*y) - (t^4.043*y)/(g1^2*g2^2) - (t^6.108*y)/g1^12 - (2*t^6.119*y)/(g1^9*g2^3) - (t^6.13*y)/(g1^6*g2^6) - (t^6.152*y)/g2^12 + (2*g2*t^7.141*y)/g1^17 + (2*t^7.152*y)/(g1^14*g2^2) + (2*t^7.163*y)/(g1^11*g2^5) + (t^7.173*y)/(g1^8*g2^8) + (2*t^7.184*y)/(g1^5*g2^11) + (t^7.195*y)/(g1^2*g2^14) + (2*g2^8*t^7.935*y)/g1^4 + (2*g2^5*t^7.946*y)/g1 + 2*g1^2*g2^2*t^7.957*y + (2*g1^5*t^7.967*y)/g2 + (2*g1^8*t^7.978*y)/g2^4 - (g2^2*t^8.174*y)/g1^22 - (2*t^8.184*y)/(g1^19*g2) - (4*t^8.195*y)/(g1^16*g2^4) - (2*t^8.206*y)/(g1^13*g2^7) - (2*t^8.217*y)/(g1^10*g2^10) - (2*t^8.227*y)/(g1^7*g2^13) - (t^8.238*y)/(g1^4*g2^16) - (g1^2*t^8.26*y)/g2^22 + (2*g2^9*t^8.968*y)/g1^9 + (5*g2^6*t^8.978*y)/g1^6 + (4*g2^3*t^8.989*y)/g1^3

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
2724	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$	0.5838	0.6909	0.845	[X:[1.7137, 1.4275], M:[0.7156, 0.2863, 0.8588, 0.7156], q:[0.8569, 0.8569], qb:[0.4275, 0.7137], phi:[0.2863]]	2*t^2.147 + t^2.576 + t^3.424 + 2*t^4.282 + 3*t^4.294 + 2*t^4.712 + 2*t^4.723 + t^5.141 + t^5.153 - 3*t^6. - t^3.859/y - t^3.859*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
151	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.6689	0.8347	0.8014	[M:[0.6964, 0.7027, 0.6943], q:[0.8254, 0.8254], qb:[0.4782, 0.4741], phi:[0.3492]]	t^2.083 + t^2.089 + t^2.095 + t^2.108 + t^2.857 + 2*t^3.898 + t^3.905 + t^3.911 + t^4.166 + t^4.172 + 2*t^4.178 + t^4.185 + 2*t^4.191 + t^4.197 + t^4.203 + t^4.216 + t^4.94 + t^4.946 + 2*t^4.952 + t^4.965 + t^5.714 + 2*t^5.981 + 2*t^5.987 + 2*t^5.994 - t^6. - t^4.048/y - t^4.048*y	detail