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
1544	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6741	0.8369	0.8055	[M:[1.0013, 0.7671, 0.9309, 0.8375, 1.1625, 1.1158, 0.7907], q:[0.6152, 0.3836], qb:[0.4539, 0.7789], phi:[0.4421]]	[M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [2, 6]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$	${}$	-2	t^2.301 + t^2.372 + t^2.512 + t^2.793 + t^3.004 + t^3.347 + t^3.488 + t^3.839 + t^4.05 + t^4.182 + t^4.323 + t^4.534 + t^4.603 + t^4.674 + t^4.744 + t^4.814 + t^4.885 + t^5.017 + t^5.025 + t^5.094 + t^5.165 + t^5.305 + t^5.376 + t^5.586 + t^5.649 + t^5.72 + t^5.797 + 2*t^5.86 - 2*t^6. + t^6.008 + t^6.14 + t^6.28 + 2*t^6.351 + t^6.422 + t^6.555 + t^6.562 + t^6.624 + t^6.695 + t^6.835 + t^6.843 + t^6.904 + t^6.906 + t^6.975 + t^7.046 + t^7.053 + t^7.115 + t^7.117 + t^7.186 + t^7.257 + t^7.319 + t^7.326 + t^7.39 + t^7.396 + t^7.397 + t^7.466 + t^7.53 + 2*t^7.537 + t^7.607 + t^7.67 + t^7.677 + t^7.748 + t^7.887 + t^7.888 + t^7.95 + t^7.958 + t^8.021 + t^8.092 + t^8.098 + t^8.099 + t^8.169 + 2*t^8.232 - 3*t^8.301 + t^8.309 + t^8.365 - t^8.372 + t^8.378 + t^8.38 + t^8.442 + t^8.505 - 2*t^8.512 + t^8.583 + t^8.589 + 2*t^8.653 + t^8.723 - 3*t^8.793 + t^8.794 + t^8.8 + t^8.864 + t^8.925 + t^8.927 + t^8.934 - t^4.326/y - t^6.628/y - t^6.699/y - t^7.119/y + t^7.323/y - t^7.33/y + t^7.534/y + t^7.674/y + t^7.814/y + t^7.885/y + t^7.954/y + t^8.025/y + t^8.094/y + t^8.165/y + (2*t^8.305)/y + t^8.376/y + t^8.516/y + t^8.649/y + t^8.72/y + t^8.789/y + t^8.797/y + (2*t^8.86)/y - t^8.929/y - t^4.326*y - t^6.628*y - t^6.699*y - t^7.119*y + t^7.323*y - t^7.33*y + t^7.534*y + t^7.674*y + t^7.814*y + t^7.885*y + t^7.954*y + t^8.025*y + t^8.094*y + t^8.165*y + 2*t^8.305*y + t^8.376*y + t^8.516*y + t^8.649*y + t^8.72*y + t^8.789*y + t^8.797*y + 2*t^8.86*y - t^8.929*y	t^2.301/(g1^2*g2^2) + g1^2*g2^6*t^2.372 + (g1*t^2.512)/g2 + t^2.793/(g1*g2^15) + (g1^2*t^3.004)/g2^14 + g2^8*t^3.347 + (g2*t^3.488)/g1 + (g1*t^3.839)/g2^5 + (g1^4*t^4.05)/g2^4 + (g2^17*t^4.182)/g1 + (g2^10*t^4.323)/g1^2 + g1*g2^11*t^4.534 + t^4.603/(g1^4*g2^4) + g2^4*t^4.674 + g1^4*g2^12*t^4.744 + t^4.814/(g1*g2^3) + g1^3*g2^5*t^4.885 + (g2^26*t^5.017)/g1^2 + (g1^2*t^5.025)/g2^2 + t^5.094/(g1^3*g2^17) + (g1*t^5.165)/g2^9 + t^5.305/g2^16 + (g1^4*t^5.376)/g2^8 + t^5.586/(g1^2*g2^30) + (g2^6*t^5.649)/g1^2 + g1^2*g2^14*t^5.72 + (g1*t^5.797)/g2^29 + 2*g1*g2^7*t^5.86 - 2*t^6. + (g1^4*t^6.008)/g2^28 + t^6.14/(g1*g2^7) + t^6.28/(g1^2*g2^14) + (2*g1^2*t^6.351)/g2^6 + g1^6*g2^2*t^6.422 + g1*g2^23*t^6.555 + (g1^5*t^6.562)/g2^5 + (g2^8*t^6.624)/g1^4 + g2^16*t^6.695 + (g2^9*t^6.835)/g1 + (g1^3*t^6.843)/g2^19 + t^6.904/(g1^6*g2^6) + g1^3*g2^17*t^6.906 + (g2^2*t^6.975)/g1^2 + g1^2*g2^10*t^7.046 + (g1^6*t^7.053)/g2^18 + t^7.115/(g1^3*g2^5) + g1^6*g2^18*t^7.117 + g1*g2^3*t^7.186 + g1^5*g2^11*t^7.257 + (g2^24*t^7.319)/g1^4 + t^7.326/g2^4 + g2^32*t^7.39 + t^7.396/(g1^5*g2^19) + g1^4*g2^4*t^7.397 + t^7.466/(g1*g2^11) + (g2^25*t^7.53)/g1 + (2*g1^3*t^7.537)/g2^3 + t^7.607/(g1^2*g2^18) + (g2^18*t^7.67)/g1^2 + (g1^2*t^7.677)/g2^10 + (g1^6*t^7.748)/g2^2 + t^7.887/(g1^4*g2^32) + (g1^5*t^7.888)/g2^9 + (g2^4*t^7.95)/g1^4 + t^7.958/g2^24 + g2^12*t^8.021 + g1^4*g2^20*t^8.092 + t^8.098/(g1*g2^31) + (g1^8*t^8.099)/g2^8 + (g1^3*t^8.169)/g2^23 + 2*g1^3*g2^13*t^8.232 - (3*t^8.301)/(g1^2*g2^2) + (g1^2*t^8.309)/g2^30 + (g2^34*t^8.365)/g1^2 - g1^2*g2^6*t^8.372 + t^8.378/(g1^3*g2^45) + (g1^6*t^8.38)/g2^22 + t^8.442/(g1^3*g2^9) + (g2^27*t^8.505)/g1^3 - (2*g1*t^8.512)/g2 + g1^5*g2^7*t^8.583 + t^8.589/g2^44 + (2*t^8.653)/g2^8 + g1^4*t^8.723 - (3*t^8.793)/(g1*g2^15) + g1^8*g2^8*t^8.794 + (g1^3*t^8.8)/g2^43 + (g1^3*t^8.864)/g2^7 + (g2^6*t^8.925)/g1^6 + g1^3*g2^29*t^8.927 + g1^7*g2*t^8.934 - t^4.326/(g2^4*y) - t^6.628/(g1^2*g2^6*y) - (g1^2*g2^2*t^6.699)/y - t^7.119/(g1*g2^19*y) + (g2^10*t^7.323)/(g1^2*y) - (g1^2*t^7.33)/(g2^18*y) + (g1*g2^11*t^7.534)/y + (g2^4*t^7.674)/y + t^7.814/(g1*g2^3*y) + (g1^3*g2^5*t^7.885)/y + t^7.954/(g1^2*g2^10*y) + (g1^2*t^8.025)/(g2^2*y) + t^8.094/(g1^3*g2^17*y) + (g1*t^8.165)/(g2^9*y) + (2*t^8.305)/(g2^16*y) + (g1^4*t^8.376)/(g2^8*y) + (g1^3*t^8.516)/(g2^15*y) + (g2^6*t^8.649)/(g1^2*y) + (g1^2*g2^14*t^8.72)/y + t^8.789/(g1^3*g2*y) + (g1*t^8.797)/(g2^29*y) + (2*g1*g2^7*t^8.86)/y - t^8.929/(g1^4*g2^8*y) - (t^4.326*y)/g2^4 - (t^6.628*y)/(g1^2*g2^6) - g1^2*g2^2*t^6.699*y - (t^7.119*y)/(g1*g2^19) + (g2^10*t^7.323*y)/g1^2 - (g1^2*t^7.33*y)/g2^18 + g1*g2^11*t^7.534*y + g2^4*t^7.674*y + (t^7.814*y)/(g1*g2^3) + g1^3*g2^5*t^7.885*y + (t^7.954*y)/(g1^2*g2^10) + (g1^2*t^8.025*y)/g2^2 + (t^8.094*y)/(g1^3*g2^17) + (g1*t^8.165*y)/g2^9 + (2*t^8.305*y)/g2^16 + (g1^4*t^8.376*y)/g2^8 + (g1^3*t^8.516*y)/g2^15 + (g2^6*t^8.649*y)/g1^2 + g1^2*g2^14*t^8.72*y + (t^8.789*y)/(g1^3*g2) + (g1*t^8.797*y)/g2^29 + 2*g1*g2^7*t^8.86*y - (t^8.929*y)/(g1^4*g2^8)

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
2676	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$	0.671	0.8353	0.8033	[M:[1.0384, 0.795, 1.0018, 0.8317, 1.1683, 1.0833, 0.7466, 0.9982], q:[0.5641, 0.3975], qb:[0.4341, 0.7708], phi:[0.4584]]	t^2.24 + t^2.385 + t^2.495 + t^2.995 + t^3.115 + t^3.25 + t^3.505 + t^3.87 + t^3.98 + t^4.005 + t^4.26 + t^4.37 + t^4.48 + t^4.625 + t^4.735 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.234 + t^5.355 + t^5.38 + 2*t^5.49 + t^5.635 + 2*t^5.745 + t^5.989 - 2*t^6. - t^4.375/y - t^4.375*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
984	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$	0.6579	0.8086	0.8137	[M:[1.0037, 0.7433, 0.9002, 0.8467, 1.1533, 1.1265], q:[0.6247, 0.3716], qb:[0.4751, 0.7816], phi:[0.4367]]	t^2.23 + t^2.54 + t^2.701 + t^3.011 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.161 + t^4.219 + t^4.299 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.058 + t^5.08 + t^5.241 + t^5.401 + t^5.609 + t^5.712 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y	detail