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
1567	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$	0.71	0.8743	0.8121	[M:[1.0587, 0.8481, 0.9413, 0.9655, 1.0345, 0.9655, 0.9413], q:[0.5172, 0.424], qb:[0.5415, 0.6105], phi:[0.4767]]	[M:[[12, 4], [-16, -16], [-12, -4], [8, -8], [-8, 8], [8, -8], [-12, -4]], q:[[-4, 4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-1, -3]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$	${}$	-4	t^2.544 + 2*t^2.824 + t^2.86 + 2*t^2.897 + t^3.383 + t^3.974 + t^4.254 + t^4.327 + 2*t^4.534 + t^4.606 + t^4.679 + t^4.813 + t^4.886 + t^5.088 + t^5.093 + 2*t^5.368 + t^5.404 + t^5.441 + 2*t^5.648 + 2*t^5.684 + 3*t^5.72 + 2*t^5.757 + 2*t^5.793 - 4*t^6. - t^6.073 + t^6.207 + t^6.243 - t^6.28 - t^6.352 + t^6.519 - t^6.559 + t^6.766 + 3*t^6.798 + t^6.835 + 2*t^6.871 + 3*t^7.078 + 2*t^7.15 + t^7.187 + 2*t^7.223 + 4*t^7.357 + t^7.394 + 2*t^7.43 + 2*t^7.503 + t^7.539 + 2*t^7.575 + t^7.633 + 2*t^7.637 - t^7.673 - t^7.819 + 2*t^7.912 + 3*t^7.917 + 2*t^7.949 + t^7.985 - t^8.026 + 2*t^8.192 + t^8.196 + 3*t^8.228 - t^8.233 + t^8.265 + 2*t^8.301 + t^8.337 + 2*t^8.472 + t^8.476 + 4*t^8.508 - t^8.544 + 4*t^8.581 + 3*t^8.617 + 3*t^8.653 + 2*t^8.69 + 2*t^8.788 - 10*t^8.824 - 2*t^8.86 - 8*t^8.897 - 2*t^8.969 - t^4.43/y - t^6.974/y - t^7.254/y - t^7.29/y - t^7.327/y + t^7.534/y + t^7.57/y + t^7.606/y + t^7.886/y + (2*t^8.368)/y + t^8.404/y + (2*t^8.441)/y + t^8.648/y + (2*t^8.684)/y + (4*t^8.72)/y + (2*t^8.757)/y + t^8.793/y + t^8.927/y - t^4.43*y - t^6.974*y - t^7.254*y - t^7.29*y - t^7.327*y + t^7.534*y + t^7.57*y + t^7.606*y + t^7.886*y + 2*t^8.368*y + t^8.404*y + 2*t^8.441*y + t^8.648*y + 2*t^8.684*y + 4*t^8.72*y + 2*t^8.757*y + t^8.793*y + t^8.927*y	t^2.544/(g1^16*g2^16) + (2*t^2.824)/(g1^12*g2^4) + t^2.86/(g1^2*g2^6) + (2*g1^8*t^2.897)/g2^8 + (g2^20*t^3.383)/g1^4 + t^3.974/(g1^17*g2^19) + t^4.254/(g1^13*g2^7) + (g1^7*t^4.327)/g2^11 + (2*g2^5*t^4.534)/g1^9 + g1^11*g2*t^4.606 + (g1^31*t^4.679)/g2^3 + (g2^17*t^4.813)/g1^5 + g1^15*g2^13*t^4.886 + t^5.088/(g1^32*g2^32) + (g2^29*t^5.093)/g1 + (2*t^5.368)/(g1^28*g2^20) + t^5.404/(g1^18*g2^22) + t^5.441/(g1^8*g2^24) + (2*t^5.648)/(g1^24*g2^8) + (2*t^5.684)/(g1^14*g2^10) + (3*t^5.72)/(g1^4*g2^12) + (2*g1^6*t^5.757)/g2^14 + (2*g1^16*t^5.793)/g2^16 - 4*t^6. - (g1^20*t^6.073)/g2^4 + (g2^16*t^6.207)/g1^16 + (g2^14*t^6.243)/g1^6 - g1^4*g2^12*t^6.28 - g1^24*g2^8*t^6.352 + t^6.519/(g1^33*g2^35) - g1^8*g2^24*t^6.559 + (g2^40*t^6.766)/g1^8 + (3*t^6.798)/(g1^29*g2^23) + t^6.835/(g1^19*g2^25) + (2*t^6.871)/(g1^9*g2^27) + (3*t^7.078)/(g1^25*g2^11) + (2*t^7.15)/(g1^5*g2^15) + (g1^5*t^7.187)/g2^17 + (2*g1^15*t^7.223)/g2^19 + (4*g2*t^7.357)/g1^21 + t^7.394/(g1^11*g2) + (2*t^7.43)/(g1*g2^3) + (2*g1^19*t^7.503)/g2^7 + (g1^29*t^7.539)/g2^9 + (2*g1^39*t^7.575)/g2^11 + t^7.633/(g1^48*g2^48) + (2*g2^13*t^7.637)/g1^17 - (g2^11*t^7.673)/g1^7 - g1^33*g2^3*t^7.819 + (2*t^7.912)/(g1^44*g2^36) + (3*g2^25*t^7.917)/g1^13 + (2*t^7.949)/(g1^34*g2^38) + t^7.985/(g1^24*g2^40) - g1^17*g2^19*t^8.026 + (2*t^8.192)/(g1^40*g2^24) + (g2^37*t^8.196)/g1^9 + (3*t^8.228)/(g1^30*g2^26) - g1*g2^35*t^8.233 + t^8.265/(g1^20*g2^28) + (2*t^8.301)/(g1^10*g2^30) + t^8.337/g2^32 + (2*t^8.472)/(g1^36*g2^12) + (g2^49*t^8.476)/g1^5 + (4*t^8.508)/(g1^26*g2^14) - t^8.544/(g1^16*g2^16) + (4*t^8.581)/(g1^6*g2^18) + (3*g1^4*t^8.617)/g2^20 + (3*g1^14*t^8.653)/g2^22 + (2*g1^24*t^8.69)/g2^24 + (2*t^8.788)/(g1^22*g2^2) - (10*t^8.824)/(g1^12*g2^4) - (2*t^8.86)/(g1^2*g2^6) - (8*g1^8*t^8.897)/g2^8 - (2*g1^28*t^8.969)/g2^12 - t^4.43/(g1*g2^3*y) - t^6.974/(g1^17*g2^19*y) - t^7.254/(g1^13*g2^7*y) - t^7.29/(g1^3*g2^9*y) - (g1^7*t^7.327)/(g2^11*y) + (g2^5*t^7.534)/(g1^9*y) + (g1*g2^3*t^7.57)/y + (g1^11*g2*t^7.606)/y + (g1^15*g2^13*t^7.886)/y + (2*t^8.368)/(g1^28*g2^20*y) + t^8.404/(g1^18*g2^22*y) + (2*t^8.441)/(g1^8*g2^24*y) + t^8.648/(g1^24*g2^8*y) + (2*t^8.684)/(g1^14*g2^10*y) + (4*t^8.72)/(g1^4*g2^12*y) + (2*g1^6*t^8.757)/(g2^14*y) + (g1^16*t^8.793)/(g2^16*y) + (g2^4*t^8.927)/(g1^20*y) - (t^4.43*y)/(g1*g2^3) - (t^6.974*y)/(g1^17*g2^19) - (t^7.254*y)/(g1^13*g2^7) - (t^7.29*y)/(g1^3*g2^9) - (g1^7*t^7.327*y)/g2^11 + (g2^5*t^7.534*y)/g1^9 + g1*g2^3*t^7.57*y + g1^11*g2*t^7.606*y + g1^15*g2^13*t^7.886*y + (2*t^8.368*y)/(g1^28*g2^20) + (t^8.404*y)/(g1^18*g2^22) + (2*t^8.441*y)/(g1^8*g2^24) + (t^8.648*y)/(g1^24*g2^8) + (2*t^8.684*y)/(g1^14*g2^10) + (4*t^8.72*y)/(g1^4*g2^12) + (2*g1^6*t^8.757*y)/g2^14 + (g1^16*t^8.793*y)/g2^16 + (g2^4*t^8.927*y)/g1^20

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
2699	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6597	0.8322	0.7927	[M:[1.2002, 0.7193, 0.7998, 1.1197, 0.8803, 1.1197, 0.7998], q:[0.4401, 0.3597], qb:[0.7601, 0.5206], phi:[0.4799]]	t^2.158 + 2*t^2.399 + t^2.879 + t^2.882 + 2*t^3.359 + t^3.598 + t^3.839 + 2*t^4.08 + t^4.316 + t^4.322 + 2*t^4.557 + t^4.563 + 3*t^4.799 + t^5.037 + t^5.04 + 2*t^5.279 + 2*t^5.282 + t^5.517 + t^5.755 + 3*t^5.759 + t^5.762 + t^5.765 + 3*t^5.997 - 3*t^6. - t^4.44/y - t^4.44*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
993	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$	0.7055	0.8657	0.8149	[M:[1.0376, 0.878, 0.9624, 0.9531, 1.0469, 0.9531], q:[0.5235, 0.439], qb:[0.5141, 0.6079], phi:[0.4789]]	t^2.634 + 2*t^2.859 + t^2.873 + t^2.887 + t^3.113 + t^3.394 + t^4.071 + t^4.296 + t^4.324 + t^4.521 + t^4.549 + 2*t^4.577 + t^4.803 + t^4.831 + t^5.084 + t^5.268 + t^5.493 + t^5.507 + t^5.521 + 2*t^5.719 + 2*t^5.733 + 2*t^5.747 + t^5.761 + t^5.972 + t^5.986 - 3*t^6. - t^4.437/y - t^4.437*y	detail