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
79527	Sp2s2nf1	${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{1}S_{2}$	2.4214	2.5609	0.9455	[X:[], M:[0.8687, 0.8687, 0.8687], q:[0.6061, 0.6061], qb:[], phi:[], S:[0.5656, 0.5656], Sb:[], A:[], Ab:[]]	[X:[], M:[[0, -2, 0], [0, 0, -2], [0, -1, -1]], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$	${}$	-7	3*t^2.606 + t^3.637 + 6*t^5.212 + 6*t^5.334 - 7*t^6. + 3*t^6.243 + 6*t^6.788 + 6*t^7.031 + t^7.273 - 8*t^7.697 + 10*t^7.818 + 12*t^7.94 + 3*t^8.363 - 20*t^8.606 + 20*t^8.727 + 6*t^8.849 + 6*t^8.97 - (2*t^4.697)/y - (4*t^7.303)/y - (4*t^8.091)/y + (3*t^8.212)/y - (2*t^8.334)/y - 2*t^4.697*y - 4*t^7.303*y - 4*t^8.091*y + 3*t^8.212*y - 2*t^8.334*y	t^2.606/g2^2 + t^2.606/g3^2 + t^2.606/(g2*g3) + t^3.637/(g2^6*g3^6) + t^5.212/g2^4 + t^5.212/g3^4 + t^5.212/(g2*g3^3) + (2*t^5.212)/(g2^2*g3^2) + t^5.212/(g2^3*g3) + g1^2*g2*t^5.334 + t^5.334/(g1^2*g2^11*g3^12) + t^5.334/(g1^2*g2^12*g3^11) + t^5.334/(g2^5*g3^6) + t^5.334/(g2^6*g3^5) + g1^2*g3*t^5.334 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - (g2*t^6.)/g3 - (g3*t^6.)/g2 - g1^2*g2^6*g3^6*t^6. + t^6.243/(g2^6*g3^8) + t^6.243/(g2^7*g3^7) + t^6.243/(g2^8*g3^6) + g2^4*t^6.788 + g2^3*g3*t^6.788 + 2*g2^2*g3^2*t^6.788 + g2*g3^3*t^6.788 + g3^4*t^6.788 + t^7.031/(g1^2*g2^11*g3^11) + t^7.031/(g2^4*g3^6) + (2*t^7.031)/(g2^5*g3^5) + t^7.031/(g2^6*g3^4) + g1^2*g2*g3*t^7.031 + t^7.273/(g2^12*g3^12) - 2*g2*t^7.697 - t^7.697/(g1^2*g2^5*g3^6) - t^7.697/(g1^2*g2^6*g3^5) - 2*g3*t^7.697 - g1^2*g2^7*g3^6*t^7.697 - g1^2*g2^6*g3^7*t^7.697 + t^7.818/g2^6 + t^7.818/g3^6 + t^7.818/(g2*g3^5) + (2*t^7.818)/(g2^2*g3^4) + (2*t^7.818)/(g2^3*g3^3) + (2*t^7.818)/(g2^4*g3^2) + t^7.818/(g2^5*g3) + (g1^2*t^7.94)/g2 + t^7.94/(g1^2*g2^11*g3^14) + t^7.94/(g1^2*g2^12*g3^13) + t^7.94/(g1^2*g2^13*g3^12) + t^7.94/(g1^2*g2^14*g3^11) + t^7.94/(g2^5*g3^8) + t^7.94/(g2^6*g3^7) + t^7.94/(g2^7*g3^6) + t^7.94/(g2^8*g3^5) + (g1^2*g2*t^7.94)/g3^2 + (g1^2*t^7.94)/g3 + (g1^2*g3*t^7.94)/g2^2 + t^8.363/g1^2 + g2^6*g3^6*t^8.363 + g1^2*g2^12*g3^12*t^8.363 - (4*t^8.606)/g2^2 - t^8.606/(g1^2*g2^6*g3^8) - t^8.606/(g1^2*g2^7*g3^7) - t^8.606/(g1^2*g2^8*g3^6) - (g2*t^8.606)/g3^3 - (4*t^8.606)/g3^2 - (4*t^8.606)/(g2*g3) - (g3*t^8.606)/g2^3 - g1^2*g2^6*g3^4*t^8.606 - g1^2*g2^5*g3^5*t^8.606 - g1^2*g2^4*g3^6*t^8.606 + g1^2*g2^3*t^8.727 + t^8.727/(g1^2*g2^9*g3^12) + (2*t^8.727)/(g1^2*g2^10*g3^11) + (2*t^8.727)/(g1^2*g2^11*g3^10) + t^8.727/(g1^2*g2^12*g3^9) + t^8.727/(g2^3*g3^6) + (3*t^8.727)/(g2^4*g3^5) + (3*t^8.727)/(g2^5*g3^4) + t^8.727/(g2^6*g3^3) + 2*g1^2*g2^2*g3*t^8.727 + 2*g1^2*g2*g3^2*t^8.727 + g1^2*g3^3*t^8.727 + t^8.849/(g2^6*g3^10) + t^8.849/(g2^7*g3^9) + (2*t^8.849)/(g2^8*g3^8) + t^8.849/(g2^9*g3^7) + t^8.849/(g2^10*g3^6) + t^8.97/(g1^2*g2^17*g3^18) + t^8.97/(g1^2*g2^18*g3^17) + t^8.97/(g2^11*g3^12) + t^8.97/(g2^12*g3^11) + (g1^2*t^8.97)/(g2^5*g3^6) + (g1^2*t^8.97)/(g2^6*g3^5) - (g2*t^4.697)/y - (g3*t^4.697)/y - t^7.303/(g2*y) - (g2*t^7.303)/(g3^2*y) - t^7.303/(g3*y) - (g3*t^7.303)/(g2^2*y) - (g2^3*t^8.091)/y - (g2^2*g3*t^8.091)/y - (g2*g3^2*t^8.091)/y - (g3^3*t^8.091)/y + t^8.212/(g2*g3^3*y) + t^8.212/(g2^2*g3^2*y) + t^8.212/(g2^3*g3*y) - t^8.334/(g2^5*g3^6*y) - t^8.334/(g2^6*g3^5*y) - g2*t^4.697*y - g3*t^4.697*y - (t^7.303*y)/g2 - (g2*t^7.303*y)/g3^2 - (t^7.303*y)/g3 - (g3*t^7.303*y)/g2^2 - g2^3*t^8.091*y - g2^2*g3*t^8.091*y - g2*g3^2*t^8.091*y - g3^3*t^8.091*y + (t^8.212*y)/(g2*g3^3) + (t^8.212*y)/(g2^2*g3^2) + (t^8.212*y)/(g2^3*g3) - (t^8.334*y)/(g2^5*g3^6) - (t^8.334*y)/(g2^6*g3^5)

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
79546	${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{1}S_{2}$ + ${ }M_{1}^{2}$	2.3886	2.5177	0.9487	[X:[], M:[1.0, 0.757, 0.8785], q:[0.6355, 0.6355], qb:[], phi:[], S:[0.5, 0.6215], Sb:[], A:[], Ab:[]]	t^2.271 + t^2.635 + t^3. + t^3.813 + t^4.542 + t^4.906 + 2*t^5.271 + 3*t^5.313 + 3*t^5.677 - 3*t^6. - t^4.5/y - t^4.865/y - t^4.5*y - t^4.865*y	detail
79557	${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{1}S_{2}$ + ${ }M_{2}M_{3}$	2.3153	2.4181	0.9575	[X:[], M:[0.7098, 1.0967, 0.9033], q:[0.7098, 0.7098], qb:[], phi:[], S:[0.6451, 0.4516], Sb:[], A:[], Ab:[]]	t^2.129 + t^2.71 + t^3.29 + 2*t^4.259 + t^4.839 + 2*t^5.42 + 3*t^5.613 - 3*t^6. - t^4.355/y - t^4.935/y - t^4.355*y - t^4.935*y	detail
79573	${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{1}S_{2}$ + ${ }q_{1}q_{2}S_{1}$	2.3859	2.486	0.9597	[X:[], M:[0.8688, 0.9427, 0.9057], q:[0.7172, 0.7172], qb:[], phi:[], S:[0.5656, 0.5287], Sb:[], A:[], Ab:[]]	t^2.606 + t^2.717 + t^2.828 + t^4.303 + t^5.213 + t^5.324 + 2*t^5.434 + t^5.545 + t^5.656 + 2*t^5.889 - 2*t^6. - t^4.586/y - t^4.697/y - t^4.586*y - t^4.697*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
79491	Sp2s2nf1	${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$	2.4098	2.5396	0.9489	[X:[], M:[0.8702, 0.8702], q:[0.6107, 0.6107], qb:[], phi:[], S:[0.5649, 0.5649], Sb:[], A:[], Ab:[]]	2*t^2.611 + t^3.389 + t^3.664 + 3*t^5.221 + 6*t^5.359 - 5*t^6. - (2*t^4.695)/y - 2*t^4.695*y	detail